From 6f3ea773f62e3cc80c7cb0e4f7fc98c4fac8291b Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Fri, 9 Aug 2024 23:41:17 +0200 Subject: [PATCH 01/51] started cleaning tutorials --- docs/sphinx/source/_static/custom.css | 4 + .../source/tutorials/figures/pyplot-perso | 2 +- .../tutorials/level1/lennard-jones-fluid.rst | 716 +++++++----------- 3 files changed, 286 insertions(+), 436 deletions(-) diff --git a/docs/sphinx/source/_static/custom.css b/docs/sphinx/source/_static/custom.css index 97883528..ea3bc713 100644 --- a/docs/sphinx/source/_static/custom.css +++ b/docs/sphinx/source/_static/custom.css @@ -126,4 +126,8 @@ a:hover { } a:active { text-decoration: none; +} + +section { + text-align: justify; } \ No newline at end of file diff --git a/docs/sphinx/source/tutorials/figures/pyplot-perso b/docs/sphinx/source/tutorials/figures/pyplot-perso index 90b21883..d1bb8dc7 160000 --- a/docs/sphinx/source/tutorials/figures/pyplot-perso +++ b/docs/sphinx/source/tutorials/figures/pyplot-perso @@ -1 +1 @@ -Subproject commit 90b21883736348634593913f3beee948161f957a +Subproject commit d1bb8dc73ebba00e19a9ce7ce8a7902ef5171595 diff --git a/docs/sphinx/source/tutorials/level1/lennard-jones-fluid.rst b/docs/sphinx/source/tutorials/level1/lennard-jones-fluid.rst index 3ec49dc7..5f98678d 100644 --- a/docs/sphinx/source/tutorials/level1/lennard-jones-fluid.rst +++ b/docs/sphinx/source/tutorials/level1/lennard-jones-fluid.rst @@ -46,19 +46,15 @@ Lennard-Jones fluid My first input ============== -.. container:: justify +To run a simulation using LAMMPS, one needs to write a series of commands +in an input script. For clarity, the input scripts written for this first +tutorial will be divided into five categories which we are going to fill up +one by one. - To run a simulation using LAMMPS, one needs to write a series of commands - in an input script. For clarity, the input scripts written for this first - tutorial will be divided into five categories which we are going to fill up - one by one. - -.. container:: justify - - Create a folder, call it *my-first-input/*, and then create a blank - text file in it called *input.lammps*. Copy the following lines - in *input.lammps*, where a line starting with a hash symbol (#) - is a comment ignored by LAMMPS: +Create a folder, call it *my-first-input/*, and then create a blank +text file in it called *input.lammps*. Copy the following lines +in *input.lammps*, where a line starting with a hash symbol (#) +is a comment ignored by LAMMPS: .. code-block:: lammps @@ -69,28 +65,24 @@ My first input # 4) Visualization # 5) Run -.. container:: justify - - These five categories are not required in every input script, and should not - necessarily be in that exact order. For instance, parts 3 and 4 could be - inverted, or part 4 could be omitted. Note however that LAMMPS reads input - files from top to bottom, therefore the *Initialization* and *System definition* - categories must appear at the top of the input, and the *Run* category at - the bottom. +These five categories are not required in every input script, and should not +necessarily be in that exact order. For instance, parts 3 and 4 could be +inverted, or part 4 could be omitted. Note however that LAMMPS reads input +files from top to bottom, therefore the *Initialization* and *System definition* +categories must appear at the top of the input, and the *Run* category at +the bottom. System initialization --------------------- -.. container:: justify +In the first section of the script, called *Initialization*, +let us indicate to LAMMPS the most basic information +about the simulation, such as: - In the first section of the script, called *Initialization*, - let us indicate to LAMMPS the most basic information - about the simulation, such as: +- the conditions at the boundaries of the box (e.g. periodic or non-periodic), +- the type of atoms (e.g. uncharged single dots or spheres with angular velocities). - - the conditions at the boundaries of the box (e.g. periodic or non-periodic), - - the type of atoms (e.g. uncharged single dots or spheres with angular velocities). - - Enter the following lines in *input.lammps*: +Enter the following lines in *input.lammps*: .. code-block:: lammps @@ -101,10 +93,8 @@ System initialization pair_style lj/cut 2.5 boundary p p p -.. container:: justify - - The first line, *units lj*, indicates that we want to use the unit system - called *LJ* (Lennard-Jones), in which all quantities are unitless. +The first line, *units lj*, indicates that we want to use the unit system +called *LJ* (Lennard-Jones), in which all quantities are unitless. .. admonition:: About Lennard-Jones (LJ) units :class: info @@ -127,11 +117,9 @@ System initialization LAMMPS website -.. container:: justify - - The second line, *dimension 3*, indicates that the simulation - is 3D. The third line, *atom_style atomic*, that the *atomic* style - will be used, therefore each atom is just a dot with a mass. +The second line, *dimension 3*, indicates that the simulation +is 3D. The third line, *atom_style atomic*, that the *atomic* style +will be used, therefore each atom is just a dot with a mass. .. admonition:: About the atom style :class: info @@ -146,24 +134,20 @@ System initialization atom style page -.. container:: justify - - The fourth line, *pair_style lj/cut 2.5*, indicates that atoms - will be interacting through a Lennard-Jones potential with - a cut-off equal to :math:`r_c = 2.5` (unitless) - :cite:`wang2020lennard,fischer2023history`: +The fourth line, *pair_style lj/cut 2.5*, indicates that atoms +will be interacting through a Lennard-Jones potential with +a cut-off equal to :math:`r_c = 2.5` (unitless) +:cite:`wang2020lennard,fischer2023history`: .. math:: E_{ij} (r) = 4 \epsilon_{ij} \left[ \left( \dfrac{\sigma_{ij}}{r} \right)^{12} - \left( \dfrac{\sigma_{ij}}{r} \right)^{6} \right], ~ \text{for} ~ r < r_c, -.. container:: justify - - where :math:`r` is the inter-particle distance, - :math:`\epsilon_{ij}` is the depth of potential well that sets the interaction strength, and - :math:`\sigma_{ij}` is the distance parameter or particle effective size. - Here, the indexes *ij* refer to the particle types *i* and *j*. +where :math:`r` is the inter-particle distance, +:math:`\epsilon_{ij}` is the depth of potential well that sets the interaction strength, and +:math:`\sigma_{ij}` is the distance parameter or particle effective size. +Here, the indexes *ij* refer to the particle types *i* and *j*. .. admonition:: About Lennard-Jones potential :class: info @@ -176,38 +160,30 @@ System initialization with the Pauli exclusion principle. The attractive part (i.e. the term in :math:`\propto - r^{-6}`) is linked with the London dispersion forces. -.. container:: justify - - The last line, *boundary p p p*, indicates that the periodic boundary - conditions will be used along all three directions of space (the 3 *p* stand - for *x*, *y*, and *z*, respectively). +The last line, *boundary p p p*, indicates that the periodic boundary +conditions will be used along all three directions of space (the 3 *p* stand +for *x*, *y*, and *z*, respectively). -.. container:: justify - - At this point, the *input.lammps* is a LAMMPS input script that does nothing. - You can run it using LAMMPS to verify that the *input* contains - no mistake by typing the following command in the terminal - from the *my-first-input/* folder: +At this point, the *input.lammps* is a LAMMPS input script that does nothing. +You can run it using LAMMPS to verify that the *input* contains +no mistake by typing the following command in the terminal +from the *my-first-input/* folder: .. code-block:: bw lmp -in input.lammps -.. container:: justify - - Here *lmp* is linked to my compiled LAMMPS version. - Running the previous command should return: +Here *lmp* is linked to my compiled LAMMPS version. +Running the previous command should return: .. code-block:: bw LAMMPS (2 Aug 2023 - Update 1) Total wall time: 0:00:00 -.. container:: justify - - In case there is a mistake in the input script, for example, if - *atom_stile* is written instead of *atom_style*, LAMMPS - gives you an explicit warning: +In case there is a mistake in the input script, for example, if +*atom_stile* is written instead of *atom_style*, LAMMPS +gives you an explicit warning: .. code-block:: bw @@ -218,40 +194,30 @@ System initialization System definition ----------------- -.. container:: justify - - Let us fill the *System definition* category of the input script: +Let us fill the *System definition* category of the input script: .. code-block:: lammps - # 2) System definition - region simulation_box block -20 20 -20 20 -20 20 - create_box 2 simulation_box - create_atoms 1 random 1500 341341 simulation_box - create_atoms 2 random 100 127569 simulation_box - -.. container:: justify +# 2) System definition +region simulation_box block -20 20 -20 20 -20 20 +create_box 2 simulation_box +create_atoms 1 random 1500 341341 simulation_box +create_atoms 2 random 100 127569 simulation_box - The first line, *region simulation_box (...)*, creates a region - named *simulation_box* that is a block (i.e. a rectangular cuboid) that - extends from -20 to 20 (no unit) along all 3 directions of space. - -.. container:: justify +The first line, *region simulation_box (...)*, creates a region +named *simulation_box* that is a block (i.e. a rectangular cuboid) that +extends from -20 to 20 (no unit) along all 3 directions of space. - The second line, *create_box 2 simulation_box*, creates a simulation box based on - the region *simulation_box* with *2* types of atoms. - -.. container:: justify +The second line, *create_box 2 simulation_box*, creates a simulation box based on +the region *simulation_box* with *2* types of atoms. - The third line, *create_atoms (...)* creates 1500 atoms of type 1 - randomly within the region *simulation_box*. The integer *341341* is a - seed that can be changed in order to create different - initial conditions for the simulation. The fourth line - creates 100 atoms of type 2. +The third line, *create_atoms (...)* creates 1500 atoms of type 1 +randomly within the region *simulation_box*. The integer *341341* is a +seed that can be changed in order to create different +initial conditions for the simulation. The fourth line +creates 100 atoms of type 2. -.. container:: justify - - If you run LAMMPS, you should see the following information in the terminal: +If you run LAMMPS, you should see the following information in the terminal: .. code-block:: bw @@ -263,20 +229,16 @@ System definition Created 100 atoms (...) -.. container:: justify - - From what is printed in the terminal, it is clear that - LAMMPS correctly interpreted the commands, and first created - the box with desired dimensions, then 1500 atoms, and then 100 - atoms. +From what is printed in the terminal, it is clear that +LAMMPS correctly interpreted the commands, and first created +the box with desired dimensions, then 1500 atoms, and then 100 +atoms. Simulation Settings ------------------- -.. container:: justify - - Let us fill the *Simulation Settings* category section of - the *input* script: +Let us fill the *Simulation Settings* category section of +the *input* script: .. code-block:: lammps @@ -286,26 +248,20 @@ Simulation Settings pair_coeff 1 1 1.0 1.0 pair_coeff 2 2 0.5 3.0 -.. container:: justify - - The two first commands, *mass (...)*, attribute a mass - equal to 1 (unitless) to both atoms of type 1 and 2. - Alternatively, one could have written - these two commands into one single line: *mass * 1*, - where the star symbol means *all* the atom types of the simulation. - -.. container:: justify +The two first commands, *mass (...)*, attribute a mass +equal to 1 (unitless) to both atoms of type 1 and 2. +Alternatively, one could have written +these two commands into one single line: *mass * 1*, +where the star symbol means *all* the atom types of the simulation. - The third line, *pair_coeff 1 1 1.0 1.0*, sets the Lennard-Jones - coefficients for the interactions between atoms of type 1, - respectively the energy parameter :math:`\epsilon_{11} = 1.0` and the distance - parameter :math:`\sigma_{11} = 1.0`. - -.. container:: justify - - Similarly, the last line sets the Lennard-Jones coefficients for - the interactions between atoms of type 2, :math:`\epsilon_{22} = 0.5`, - and :math:`\sigma_{22} = 3.0`. +The third line, *pair_coeff 1 1 1.0 1.0*, sets the Lennard-Jones +coefficients for the interactions between atoms of type 1, +respectively the energy parameter :math:`\epsilon_{11} = 1.0` and the distance +parameter :math:`\sigma_{11} = 1.0`. + +Similarly, the last line sets the Lennard-Jones coefficients for +the interactions between atoms of type 2, :math:`\epsilon_{22} = 0.5`, +and :math:`\sigma_{22} = 3.0`. .. admonition:: About cross parameters :class: info @@ -330,13 +286,11 @@ Simulation Settings geometric rule. However, neither the geometric nor the arithmetic rules are based on rigorous arguments, so here the geometric rule will do just fine. -.. container:: justify - - Due to the chosen Lennard-Jones parameters, the two types of particles - are given different effective diameters, as can be seen by plotting - :math:`E_{11} (r)`, - :math:`E_{12} (r)`, - and :math:`E_{22} (r)`. +Due to the chosen Lennard-Jones parameters, the two types of particles +are given different effective diameters, as can be seen by plotting +:math:`E_{11} (r)`, +:math:`E_{12} (r)`, +and :math:`E_{22} (r)`. .. figure:: ../figures/level1/lennard-jones-fluid/lennard-jones.png :alt: Lennard Jones potential @@ -366,10 +320,8 @@ Simulation Settings Energy minimization ------------------- -.. container:: justify - - The system is now fully parametrized. Let us fill the two last remaining sections - by adding the following lines into *input.lammps*: +The system is now fully parametrized. Let us fill the two last remaining sections +by adding the following lines into *input.lammps*: .. code-block:: lammps @@ -380,16 +332,14 @@ Energy minimization # 5) Run minimize 1.0e-4 1.0e-6 1000 10000 -.. container:: justify - - The *thermo* command asks LAMMPS to print - thermodynamic information (e.g. temperature, energy) in the - terminal every given number of steps, here 10 steps. - The *thermo_style custom* requires LAMMPS to print - the system temperature (*temp*), potential energy (*pe*), - kinetic energy (*ke*), total energy (*etotal*), - and pressure (*press*). Finally, the *minimize* command - instructs LAMMPS to perform an energy minimization of the system. +The *thermo* command asks LAMMPS to print +thermodynamic information (e.g. temperature, energy) in the +terminal every given number of steps, here 10 steps. +The *thermo_style custom* requires LAMMPS to print +the system temperature (*temp*), potential energy (*pe*), +kinetic energy (*ke*), total energy (*etotal*), +and pressure (*press*). Finally, the *minimize* command +instructs LAMMPS to perform an energy minimization of the system. .. admonition:: About energy minimization :class: info @@ -410,10 +360,8 @@ Energy minimization min style -.. container:: justify - - Now running the simulation, we can see how the thermodynamic - variables evolve as the simulation progresses: +Now running the simulation, we can see how the thermodynamic +variables evolve as the simulation progresses: .. code-block:: bw @@ -429,19 +377,17 @@ Energy minimization 80 0 -0.51799572 0 -0.51799572 -0.0012995545 (...) -.. container:: justify - - These lines give us information about - the progress of the energy minimization. First, at the start - of the simulation (Step 0), the energy in the system is - huge: 78840982 (unitless). This was expected because - the atoms have been created at random positions within the - simulation box and some of them are probably overlapping, - resulting in a large initial energy which is the consequence - of the repulsive part of the Lennard-Jones interaction - potential. As the energy minimization progresses, the energy - rapidly decreases and reaches a negative value, indicating that the atoms have been - displaced at reasonable distances from each other. +These lines give us information about +the progress of the energy minimization. First, at the start +of the simulation (Step 0), the energy in the system is +huge: 78840982 (unitless). This was expected because +the atoms have been created at random positions within the +simulation box and some of them are probably overlapping, +resulting in a large initial energy which is the consequence +of the repulsive part of the Lennard-Jones interaction +potential. As the energy minimization progresses, the energy +rapidly decreases and reaches a negative value, indicating that the atoms have been +displaced at reasonable distances from each other. .. admonition:: On the temperature during energy minimization :class: info @@ -450,11 +396,9 @@ Energy minimization their initial values of 0. This is expected as the conjugate gradient algorithm only affects the positions of the particles based on the forces between them, without affecting their velocities. - -.. container:: justify - Other useful information has been printed in the terminal, for example, LAMMPS - tells us that the first of the four criteria to be satisfied was the energy: +Other useful information has been printed in the terminal, for example, LAMMPS +tells us that the first of the four criteria to be satisfied was the energy: .. code-block:: bw @@ -464,11 +408,9 @@ Energy minimization Molecular dynamics ------------------ -.. container:: justify - - The system is now ready. Let us continue by completing the input script and - adding commands to perform a molecular dynamics simulation, starting from the - final state of the previous energy minimization step. +The system is now ready. Let us continue by completing the input script and +adding commands to perform a molecular dynamics simulation, starting from the +final state of the previous energy minimization step. .. admonition:: Background Information -- What is molecular dynamics? :class: info @@ -489,10 +431,8 @@ Molecular dynamics calculated acceleration, typically using the Verlet algorithm, or similar. More information can be found in Refs. :cite:`allen2017computer,frenkel2023understanding`. -.. container:: justify - - In the same input script, after the *minimization* command, add the following - lines: +In the same input script, after the *minimization* command, add the following +lines: .. code-block:: lammps @@ -500,17 +440,13 @@ Molecular dynamics # 4) Visualization thermo 50 -.. container:: justify - - Since LAMMPS reads the input from top to bottom, these lines will be - executed after the energy minimization. There is no need to re-initialize - or re-define the system. The *thermo* command is called a second time within - the same input, so the previously entered value of 10 will be replaced by - the value of 50 as soon as *PART B* starts. - -.. container:: justify +Since LAMMPS reads the input from top to bottom, these lines will be +executed after the energy minimization. There is no need to re-initialize +or re-define the system. The *thermo* command is called a second time within +the same input, so the previously entered value of 10 will be replaced by +the value of 50 as soon as *PART B* starts. - Then, let us add a second *Run* section: +Then, let us add a second *Run* section: .. code-block:: lammps @@ -520,22 +456,18 @@ Molecular dynamics timestep 0.005 run 10000 -.. container:: justify +The *fix nve* is used to update the positions and the velocities of the +atoms in the group *all* at every step. The group *all* is a default group +that contains every atom. - The *fix nve* is used to update the positions and the velocities of the - atoms in the group *all* at every step. The group *all* is a default group - that contains every atom. - -.. container:: justify - - The second fix applies a Langevin thermostat to the atoms of the group - *all*, with a desired initial temperature of 1.0 (unitless), and a final - temperature of 1.0 as well :cite:`schneider1978molecular`. A *damping* parameter - of 0.1 is used. The *damping* parameter determines how rapidly the temperature - is relaxed to its desired value. The number *1530917* is a seed, you can - change it to perform statistically independent simulations. Finally, the last - two lines set the value of the *timestep* and the number of steps for the *run*, - respectively, corresponding to a total duration of 50 (unitless). +The second fix applies a Langevin thermostat to the atoms of the group +*all*, with a desired initial temperature of 1.0 (unitless), and a final +temperature of 1.0 as well :cite:`schneider1978molecular`. A *damping* parameter +of 0.1 is used. The *damping* parameter determines how rapidly the temperature +is relaxed to its desired value. The number *1530917* is a seed, you can +change it to perform statistically independent simulations. Finally, the last +two lines set the value of the *timestep* and the number of steps for the *run*, +respectively, corresponding to a total duration of 50 (unitless). .. admonition:: What is a fix? :class: info @@ -543,10 +475,8 @@ Molecular dynamics In LAMMPS, a *fix* is a command that performs specific tasks during a simulation, such as imposing constraints, applying forces, or modifying particle properties. Other LAMMPS-specific terms are defined in the :ref:`glossary-label`. - -.. container:: justify - - After running the simulation, similar lines should appear in the terminal: + +After running the simulation, similar lines should appear in the terminal: .. code-block:: bw @@ -560,21 +490,17 @@ Molecular dynamics 900 1.0074571 -0.34951264 1.5102412 1.1607285 0.023520785 (...) -.. container:: justify - - The second column shows that the temperature *Temp* starts from 0, but rapidly - reaches the requested value and stabilize itself near :math:`T=1`. +The second column shows that the temperature *Temp* starts from 0, but rapidly +reaches the requested value and stabilize itself near :math:`T=1`. -.. container:: justify - - From what has been printed in the *log* file, one can plot the potential - energy (:math:`p_\text{e}`) and the kinetic energy (:math:`k_\text{e}`) of - the system over time. The potential energy, :math:`p_\text{e}`, rapidly - decreases during energy minimization. Then, after the molecular dynamics - simulation starts, :math:`p_\text{e}` increases until it reaches a plateau - value of about -0.25. The kinetic energy, :math:`k_\text{e}`, is equal to - zero during energy minimization and then increases during molecular - dynamics until it reaches a plateau value of about 1.5. +From what has been printed in the *log* file, one can plot the potential +energy (:math:`p_\text{e}`) and the kinetic energy (:math:`k_\text{e}`) of +the system over time. The potential energy, :math:`p_\text{e}`, rapidly +decreases during energy minimization. Then, after the molecular dynamics +simulation starts, :math:`p_\text{e}` increases until it reaches a plateau +value of about -0.25. The kinetic energy, :math:`k_\text{e}`, is equal to +zero during energy minimization and then increases during molecular +dynamics until it reaches a plateau value of about 1.5. .. figure:: ../figures/level1/lennard-jones-fluid/energy.png :alt: Result tutorial molecular dynamics simulation: Energy plot over time @@ -592,40 +518,30 @@ Molecular dynamics Trajectory visualization ------------------------ -.. container:: justify - - The simulation is running well, but we would like to - visualize the trajectories of the atoms. To do so, we first need - to print the positions of the atoms in a file at a regular interval. - -.. container:: justify +The simulation is running well, but we would like to +visualize the trajectories of the atoms. To do so, we first need +to print the positions of the atoms in a file at a regular interval. - Add the following command to the *input.lammps* file, in the *Visualization* - section of *PART B*: +Add the following command to the *input.lammps* file, in the *Visualization* +section of *PART B*: .. code-block:: lammps dump mydmp all atom 100 dump.lammpstrj -.. container:: justify - - Run the *input.lammps* using LAMMPS again. A file named *dump.lammpstrj* - must appear within *my-first-input/*. A *.lammpstrj* file can - be opened using VMD. With Ubuntu/Linux, you can simply execute in the terminal: +Run the *input.lammps* using LAMMPS again. A file named *dump.lammpstrj* +must appear within *my-first-input/*. A *.lammpstrj* file can +be opened using VMD. With Ubuntu/Linux, you can simply execute in the terminal: .. code-block:: bw vmd dump.lammpstrj -.. container:: justify - - Otherwise, you can open VMD and import the *dump.lammpstrj* - file manually using *File -> New molecule*. - -.. container:: justify +Otherwise, you can open VMD and import the *dump.lammpstrj* +file manually using *File -> New molecule*. - By default, you should see a cloud of lines, but you can improve the - representation (see this :ref:`vmd-label` for basic instructions). +By default, you should see a cloud of lines, but you can improve the +representation (see this :ref:`vmd-label` for basic instructions). .. figure:: ../figures/level1/lennard-jones-fluid/first-input-light.png :alt: binary fluid simulated by LAMMPS and visualized with VMD @@ -647,25 +563,19 @@ Trajectory visualization Improving the script ==================== -.. container:: justify - - Let us improve the input script and perform slightly more advanced operations, - such as imposing a specific initial positions to the atoms, and restarting the simulation - from a previously saved configuration. +Let us improve the input script and perform slightly more advanced operations, +such as imposing a specific initial positions to the atoms, and restarting the simulation +from a previously saved configuration. Control the initial atom positions ---------------------------------- - -.. container:: justify - Create a new folder next to *my-first-input/*, and call it *improved-input/*. - Then, create a new input file within *improved-input/* and call it - *input.min.lammps*. - -.. container:: justify +Create a new folder next to *my-first-input/*, and call it *improved-input/*. +Then, create a new input file within *improved-input/* and call it +*input.min.lammps*. - Similarly to what has been done previously, copy the following lines - into *input.min.lammps*: +Similarly to what has been done previously, copy the following lines +into *input.min.lammps*: .. code-block:: lammps @@ -676,11 +586,9 @@ Control the initial atom positions pair_style lj/cut 2.5 boundary p p p -.. container:: justify - - To create the atoms of types 1 and 2 in two separate regions, let us create - three separate regions: A cubic region for the simulation box and two - additional regions for placing the atoms: +To create the atoms of types 1 and 2 in two separate regions, let us create +three separate regions: A cubic region for the simulation box and two +additional regions for placing the atoms: .. code-block:: lammps @@ -692,12 +600,10 @@ Control the initial atom positions create_atoms 1 random 1000 341341 region_cylinder_out create_atoms 2 random 150 127569 region_cylinder_in -.. container:: justify - - The *side in* and *side out* keywords - are used to define regions that are respectively inside - and outside of the cylinder of radius 10. Then, copy similar lines - as previously into *input.min.lammps*: +The *side in* and *side out* keywords +are used to define regions that are respectively inside +and outside of the cylinder of radius 10. Then, copy similar lines +as previously into *input.min.lammps*: .. code-block:: lammps @@ -716,30 +622,22 @@ Control the initial atom positions minimize 1.0e-4 1.0e-6 1000 10000 write_data minimized_coordinate.data -.. container:: justify +The main novelty, compared to the previous input script, is the *write_data* +command. This command is used to print the final state of the simulation in +a file named *minimized_coordinate.data*. Note that the *write_data* command +is placed after the *minimize* command. This *.data* file will be used later +to restart the simulation from the final state of the energy minimization step. - The main novelty, compared to the previous input script, is the *write_data* - command. This command is used to print the final state of the simulation in - a file named *minimized_coordinate.data*. Note that the *write_data* command - is placed after the *minimize* command. This *.data* file will be used later - to restart the simulation from the final state of the energy minimization step. +Run the *input.min.lammps* script using LAMMPS. -.. container:: justify +As soon as the simulation starts, a new dump file named *dump.min.lammpstrj* +must appear in the folder. This *.lammpstrj* can be used to visualize the +atom's trajectories during minimization using VMD. At the end of the simulation, +a file named *minimized_coordinate.data* is created by LAMMPS. - Run the *input.min.lammps* script using LAMMPS. - -.. container:: justify - - As soon as the simulation starts, a new dump file named *dump.min.lammpstrj* - must appear in the folder. This *.lammpstrj* can be used to visualize the - atom's trajectories during minimization using VMD. At the end of the simulation, - a file named *minimized_coordinate.data* is created by LAMMPS. - -.. container:: justify - - If you open *minimized_coordinate.data* with a text editor, you can see that - it contains all the information necessary to restart the simulation, such as - the number of atoms, the box size, the *masses*, and the *pair_coeffs*: +If you open *minimized_coordinate.data* with a text editor, you can see that +it contains all the information necessary to restart the simulation, such as +the number of atoms, the box size, the *masses*, and the *pair_coeffs*: .. code-block:: lammps @@ -761,10 +659,8 @@ Control the initial atom positions 2 0.5 3 (...) -.. container:: justify - - The *minimized_coordinate.data* file also contains the final - positions of the atoms: +The *minimized_coordinate.data* file also contains the final +positions of the atoms: .. code-block:: lammps @@ -779,22 +675,18 @@ Control the initial atom positions 402 1 -5.270160783673711 -15.592291204068946 -19.6382667867645 0 0 0 (...) -.. container:: justify - - The first five columns of the *Atoms* section correspond (from left to right) - to the atom indexes (from 1 to the total number of atoms, 1150), the atom types (1 or 2 - here), and the atoms positions :math:`x`, :math:`y`, :math:`z`. The last - three columns are image flags that keep track of which atoms crossed the - periodic boundary. +The first five columns of the *Atoms* section correspond (from left to right) +to the atom indexes (from 1 to the total number of atoms, 1150), the atom types (1 or 2 +here), and the atoms positions :math:`x`, :math:`y`, :math:`z`. The last +three columns are image flags that keep track of which atoms crossed the +periodic boundary. Restarting from a saved configuration ------------------------------------- -.. container:: justify - - Let us create a new input file and start a molecular dynamics simulation - directly from the previously saved configuration. Within *improved-input/*, - create a new file named *input.md.lammps* and copy the same lines as previously: +Let us create a new input file and start a molecular dynamics simulation +directly from the previously saved configuration. Within *improved-input/*, +create a new file named *input.md.lammps* and copy the same lines as previously: .. code-block:: lammps @@ -805,25 +697,21 @@ Restarting from a saved configuration pair_style lj/cut 2.5 boundary p p p -.. container:: justify - - Here, instead of creating a new region and adding atoms to it, we can simply - import the previously saved configuration by adding the following command - to input.md.lammps: +Here, instead of creating a new region and adding atoms to it, we can simply +import the previously saved configuration by adding the following command +to input.md.lammps: .. code-block:: lammps # 2) System definition read_data minimized_coordinate.data -.. container:: justify - - By visualizing the previously generated *dump.min.lammpstrj* - file, you may have noticed that some atoms have moved from one region to - the other during minimization. To start the simulation from a clean slate, with - only atoms of type 2 within the cylinder and atoms of type 1 outside the - cylinder, let us delete the misplaced atoms by adding the following commands - to *input.md.lammps*: +By visualizing the previously generated *dump.min.lammpstrj* +file, you may have noticed that some atoms have moved from one region to +the other during minimization. To start the simulation from a clean slate, with +only atoms of type 2 within the cylinder and atoms of type 1 outside the +cylinder, let us delete the misplaced atoms by adding the following commands +to *input.md.lammps*: .. code-block:: lammps @@ -839,32 +727,24 @@ Restarting from a saved configuration delete_atoms group group_type_1_in delete_atoms group group_type_2_out -.. container:: justify +The two first *region* commands recreate +the previously defined regions, which is necessary since +regions are not saved by the *write_data* command. - The two first *region* commands recreate - the previously defined regions, which is necessary since - regions are not saved by the *write_data* command. +The first two *group* commands are used to create groups containing +all the atoms of type 1 and all the atoms of type 2, respectively. +The next two *group* commands create atom groups based on their +positions at the beginning of the simulation, i.e. when the commands +are being read by LAMMPS. The last two *group* commands create atom groups +based on the intersection between the previously defined groups. -.. container:: justify +Finally, the two *delete_atoms* commands delete the +atoms of type 1 that are located within the cylinder and the atoms of +type 2 that are located outside the cylinder, respectively. - The first two *group* commands are used to create groups containing - all the atoms of type 1 and all the atoms of type 2, respectively. - The next two *group* commands create atom groups based on their - positions at the beginning of the simulation, i.e. when the commands - are being read by LAMMPS. The last two *group* commands create atom groups - based on the intersection between the previously defined groups. - -.. container:: justify - - Finally, the two *delete_atoms* commands delete the - atoms of type 1 that are located within the cylinder and the atoms of - type 2 that are located outside the cylinder, respectively. - -.. container:: justify - - When you run the *input.md.lammps* input using LAMMPS, you - can see in the *log* file how many atoms are in each group, - and how many atoms have been deleted: +When you run the *input.md.lammps* input using LAMMPS, you +can see in the *log* file how many atoms are in each group, +and how many atoms have been deleted: .. code-block:: bw @@ -877,23 +757,19 @@ Restarting from a saved configuration Deleted 0 atoms, new total = 1150 Deleted 1 atoms, new total = 1149 -.. container:: justify - - Add the following lines into *input.md.lammps*. - Note the absence of *Simulation settings* section, - because the settings are taken from the *.data* file. +Add the following lines into *input.md.lammps*. +Note the absence of *Simulation settings* section, +because the settings are taken from the *.data* file. .. code-block:: lammps # 4) Visualization thermo 1000 dump mydmp all atom 1000 dump.md.lammpstrj - -.. container:: justify - - Let us extract the number of atoms of each type - inside the cylinder as a function of time, by - adding the following commands to *input.md.lammps*: + +Let us extract the number of atoms of each type +inside the cylinder as a function of time, by +adding the following commands to *input.md.lammps*: .. code-block:: lammps @@ -904,26 +780,20 @@ Restarting from a saved configuration fix myat2 all ave/time 10 200 2000 v_n_type2_in & file output-population2vstime.dat -.. container:: justify - - The two *variables* are used to count the number of atoms of a specific - group in the *region_cylinder_in* region. - -.. container:: justify +The two *variables* are used to count the number of atoms of a specific +group in the *region_cylinder_in* region. - The two *fix ave/time* are calling the previously defined variables and are - printing their values into text files. By using *10 200 2000*, variables are - evaluated every 10 steps, averaged 200 times, and printed in the *.dat* files - every 2000 steps. +The two *fix ave/time* are calling the previously defined variables and are +printing their values into text files. By using *10 200 2000*, variables are +evaluated every 10 steps, averaged 200 times, and printed in the *.dat* files +every 2000 steps. -.. container:: justify - - In addition to counting the atoms in each region, let us also extract the - coordination number per atom between atoms of types 1 and 2. The - coordination number is a measure of the average number of type 2 atoms - in the vicinity of type 1 atoms, serving as a good indicator of - the degree of mixing in a binary mixture. Add the following lines into - *input.md.lammps*: +In addition to counting the atoms in each region, let us also extract the +coordination number per atom between atoms of types 1 and 2. The +coordination number is a measure of the average number of type 2 atoms +in the vicinity of type 1 atoms, serving as a good indicator of +the degree of mixing in a binary mixture. Add the following lines into +*input.md.lammps*: .. code-block:: lammps @@ -931,15 +801,13 @@ Restarting from a saved configuration compute sumcoor12 all reduce ave c_coor12 fix myat3 all ave/time 10 200 2000 & c_sumcoor12 file coordinationnumber12.dat - -.. container:: justify - The *compute ave* is used to average the per atom - coordination number that is calculated by the *coord/atom* compute. - This averaging is necessary as *coord/atom* returns an array where each value corresponds - to a certain couple of atoms i-j. Such an array can't be printed by *fix ave/time*. - Finally, let us complete the script by adding the following lines - to *input.md.lammps*: +The *compute ave* is used to average the per atom +coordination number that is calculated by the *coord/atom* compute. +This averaging is necessary as *coord/atom* returns an array where each value corresponds +to a certain couple of atoms i-j. Such an array can't be printed by *fix ave/time*. +Finally, let us complete the script by adding the following lines +to *input.md.lammps*: .. code-block:: lammps @@ -951,22 +819,18 @@ Restarting from a saved configuration run 300000 write_data mixed.data -.. container:: justify +There are a few differences from the previous simulation. +First, the *velocity create* command attributes an initial velocity to every +atom. The initial velocity is chosen so that the average initial +temperature is equal to 1 (unitless). The additional +keywords ensure that no linear momentum (*mom yes*) and no angular +momentum (*rot yes*) are given to the system and that the generated +velocities are distributed as a Gaussian. Another improvement +is the *zero yes* keyword in the Langevin thermostat, which +ensures that the total random force applied to the atoms is equal to zero. - There are a few differences from the previous simulation. - First, the *velocity create* command attributes an initial velocity to every - atom. The initial velocity is chosen so that the average initial - temperature is equal to 1 (unitless). The additional - keywords ensure that no linear momentum (*mom yes*) and no angular - momentum (*rot yes*) are given to the system and that the generated - velocities are distributed as a Gaussian. Another improvement - is the *zero yes* keyword in the Langevin thermostat, which - ensures that the total random force applied to the atoms is equal to zero. - -.. container:: justify - - Run *input.md.lammps* using LAMMPS and visualize the trajectory - using VMD. +Run *input.md.lammps* using LAMMPS and visualize the trajectory +using VMD. .. figure:: ../figures/level1/lennard-jones-fluid/mixing-vmd-light.png :alt: LAMMPS VMD tutorial molecular dynamics simulation @@ -982,11 +846,9 @@ Restarting from a saved configuration respectively the system at :math:`t=0` (left panel), :math:`t=75` (middle panel), and :math:`t=1500` (right panel). -.. container:: justify - - After running *input.md.lammps* using LAMMPS, you can observe the number - of atoms in each region from the generated data files, as - well as the evolution of the coordination number due to mixing: +After running *input.md.lammps* using LAMMPS, you can observe the number +of atoms in each region from the generated data files, as +well as the evolution of the coordination number due to mixing: .. figure:: ../figures/level1/lennard-jones-fluid/mixing.png :alt: Result tutorial molecular dynamics simulation: Energy plot over time @@ -1012,9 +874,7 @@ Going further with exercises Solve Lost atoms error ---------------------- -.. container:: justify - - For this exercise, the following input script is provided: +For this exercise, the following input script is provided: .. code-block:: lammps @@ -1041,21 +901,17 @@ Solve Lost atoms error run 10000 -.. container:: justify - - As it is, this input returns one of the most common - error that you will encounter using LAMMPS: +As it is, this input returns one of the most common +error that you will encounter using LAMMPS: .. code-block:: bash ERROR: Lost atoms: original 1000 current 984 -.. container:: justify - - The goal of this exercise is to fix the *Lost atoms* error without - using any other command than the ones already present. You can - only play with the values of the parameters and/or replicate every - command as many times as needed. +The goal of this exercise is to fix the *Lost atoms* error without +using any other command than the ones already present. You can +only play with the values of the parameters and/or replicate every +command as many times as needed. .. admonition:: Note :class: info @@ -1067,15 +923,13 @@ Solve Lost atoms error Create a demixed dense phase ---------------------------- -.. container:: justify +Starting from one of the *input* created in this tutorial, fine-tune the +parameters such as particle numbers and interaction to create a simulation +with the following properties: - Starting from one of the *input* created in this tutorial, fine-tune the - parameters such as particle numbers and interaction to create a simulation - with the following properties: - - - the density in particles must be high, - - both particles of type 1 and 2 must have the same size, - - particles of type 1 and 2 must demix. +- the density in particles must be high, +- both particles of type 1 and 2 must have the same size, +- particles of type 1 and 2 must demix. .. figure:: ../figures/level1/lennard-jones-fluid/demixing-light.png :alt: VMD/LAMMPS exercise molecular dynamics simulation: demixing lennard @@ -1101,10 +955,8 @@ Create a demixed dense phase From atoms to molecules ----------------------- -.. container:: justify - - Add a bond between particles of *type 2* to create dumbbell molecules instead - of single particles. +Add a bond between particles of *type 2* to create dumbbell molecules instead +of single particles. .. figure:: ../figures/level1/lennard-jones-fluid/dumbell-dark.png :alt: Dumbbell Lennard-Jones molecules simulated using LAMMPS @@ -1123,10 +975,8 @@ From atoms to molecules video -.. container:: justify - - Similarly to the dumbbell molecules, create a small polymer, - i.e. a long chain of particles linked by bonds and angles. +Similarly to the dumbbell molecules, create a small polymer, +i.e. a long chain of particles linked by bonds and angles. .. figure:: ../figures/level1/lennard-jones-fluid/polymer-dark.png :alt: Polymer Lennard-Jones molecules simulated using LAMMPS @@ -1148,11 +998,9 @@ From atoms to molecules .. admonition:: Hints :class: info - .. container:: justify - - Use a *molecule template* to easily insert as many atoms connected - by bonds (i.e. molecules) as you want. A molecule template typically - begins as follows: + Use a *molecule template* to easily insert as many atoms connected + by bonds (i.e. molecules) as you want. A molecule template typically + begins as follows: .. code-block:: lammps @@ -1166,11 +1014,9 @@ From atoms to molecules (...) - .. container:: justify - - A bond section also needs to be added, see this - |molecule_template_lammps| for details on the formatting of a - molecule template. + A bond section also needs to be added, see this + |molecule_template_lammps| for details on the formatting of a + molecule template. .. |molecule_template_lammps| raw:: html From 0ddd1a0773861cf30a621f29beea481e8f9084b6 Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Sat, 10 Aug 2024 00:02:41 +0200 Subject: [PATCH 02/51] remove justify container for tutorial 2 --- .../level1/breaking-a-carbon-nanotube.rst | 662 +++++++----------- .../tutorials/level1/lennard-jones-fluid.rst | 30 +- 2 files changed, 269 insertions(+), 423 deletions(-) diff --git a/docs/sphinx/source/tutorials/level1/breaking-a-carbon-nanotube.rst b/docs/sphinx/source/tutorials/level1/breaking-a-carbon-nanotube.rst index c315c504..df3cf6b8 100644 --- a/docs/sphinx/source/tutorials/level1/breaking-a-carbon-nanotube.rst +++ b/docs/sphinx/source/tutorials/level1/breaking-a-carbon-nanotube.rst @@ -19,25 +19,19 @@ Pulling on a carbon nanotube :align: right :class: only-light -.. container:: abstract +The objective of this tutorial is to impose the deformation +of a carbon nanotube (CNT) using LAMMPS. - The objective of this tutorial is to impose the deformation - of a carbon nanotube (CNT) using LAMMPS. +In this tutorial, a small carbon nanotube (CNT) is simulated +within an empty box using LAMMPS. An external +force is imposed on the CNT, and its deformation is measured over time. -.. container:: abstract - - In this tutorial, a small carbon nanotube (CNT) is simulated - within an empty box using LAMMPS. An external - force is imposed on the CNT, and its deformation is measured over time. - -.. container:: abstract - - To illustrate the difference between classical and reactive force fields, - this tutorial is divided into two parts. Within the first part, a classical - force field is used and the bonds between the atoms of the CNT are - unbreakable. Within the second part, a reactive force field - (named AIREBO :cite:`stuart2000reactive`) is used, allowing for the breaking - of chemical bonds when the CNT undergoes strong deformation. +To illustrate the difference between classical and reactive force fields, +this tutorial is divided into two parts. Within the first part, a classical +force field is used and the bonds between the atoms of the CNT are +unbreakable. Within the second part, a reactive force field +(named AIREBO :cite:`stuart2000reactive`) is used, allowing for the breaking +of chemical bonds when the CNT undergoes strong deformation. .. include:: ../../non-tutorials/recommand-lj.rst @@ -48,16 +42,14 @@ Pulling on a carbon nanotube Unbreakable bonds ================= -.. container:: justify - - With most classical molecular dynamics force fields, the chemical bonds - between the atoms are set at the start of the simulation. Regardless of the - forces applied to the atoms during the simulations, the bonds remain intact. - The bonds between neighbor atoms typically consist of springs with - given equilibrium distances :math:`r_0` and a constant :math:`k_b`: - :math:`U_b = k_b \left( r - r_0 \right)^2`. - Additionally, angular and dihedral constraints are usually applied to maintain - the relative orientations of neighbor atoms. +With most classical molecular dynamics force fields, the chemical bonds +between the atoms are set at the start of the simulation. Regardless of the +forces applied to the atoms during the simulations, the bonds remain intact. +The bonds between neighbor atoms typically consist of springs with +given equilibrium distances :math:`r_0` and a constant :math:`k_b`: +:math:`U_b = k_b \left( r - r_0 \right)^2`. +Additionally, angular and dihedral constraints are usually applied to maintain +the relative orientations of neighbor atoms. Create topology with VMD ------------------------ @@ -86,19 +78,15 @@ Create topology with VMD non-exhaustive list -.. container:: justify - - Open VMD, go to Extensions, Modeling, and then Nanotube Builder. - A window named Carbon Nanostructures opens up, allowing us to choose - between generating a sheet or a nanotube, made either of graphene or - of Boron Nitride (BN). For this tutorial, let us generate a carbon nanotube. - Keep all default values, and click on *Generate Nanotube*. +Open VMD, go to Extensions, Modeling, and then Nanotube Builder. +A window named Carbon Nanostructures opens up, allowing us to choose +between generating a sheet or a nanotube, made either of graphene or +of Boron Nitride (BN). For this tutorial, let us generate a carbon nanotube. +Keep all default values, and click on *Generate Nanotube*. -.. container:: justify - - At this point, this is not a molecular dynamics simulation, - but a cloud of unconnected dots. In the VMD terminal, set the - box dimensions by typing the following commands in the VMD terminal: +At this point, this is not a molecular dynamics simulation, +but a cloud of unconnected dots. In the VMD terminal, set the +box dimensions by typing the following commands in the VMD terminal: .. code-block:: bw @@ -106,25 +94,19 @@ Create topology with VMD molinfo top set b 80 molinfo top set c 80 -.. container:: justify +The values of 80 in each direction have been chosen +so that the box is much larger than the carbon nanotube. - The values of 80 in each direction have been chosen - so that the box is much larger than the carbon nanotube. - -.. container:: justify - - To generate the initial LAMMPS data file, let us use *Topotools*: - to generate the LAMMPS data file, enter the following command - in the VMD terminal: +To generate the initial LAMMPS data file, let us use *Topotools*: +to generate the LAMMPS data file, enter the following command +in the VMD terminal: .. code-block:: bw topo writelammpsdata cnt_molecular.data molecular -.. container:: justify - - Here *molecular* refers to the LAMMPS *atom_style*, and - *cnt_molecular.data* is the name of the file. +Here *molecular* refers to the LAMMPS *atom_style*, and +*cnt_molecular.data* is the name of the file. .. admonition:: About TopoTools :class: info @@ -139,12 +121,10 @@ Create topology with VMD Axel Kohlmeyer -.. container:: justify - - The parameters of the constraints (bond length, - dihedral coefficients, etc.) will be given later. - A new file named *cnt_molecular.data* has been created, it starts - like that: +The parameters of the constraints (bond length, +dihedral coefficients, etc.) will be given later. +A new file named *cnt_molecular.data* has been created, it starts +like that: .. code-block:: lammps @@ -163,24 +143,18 @@ Create topology with VMD -12.130411 67.869589 zlo zhi (...) -.. container:: justify +The *cnt_molecular.data* file contains information +about the positions of the carbon atoms, as well as the +identity of the atoms that are linked by *bonds*, *angles*, *dihedrals*, +and *impropers* constraints. - The *cnt_molecular.data* file contains information - about the positions of the carbon atoms, as well as the - identity of the atoms that are linked by *bonds*, *angles*, *dihedrals*, - and *impropers* constraints. - -.. container:: justify - - Save the *cnt_molecular.data* file in a folder named *unbreakable-bonds/*. +Save the *cnt_molecular.data* file in a folder named *unbreakable-bonds/*. The LAMMPS input ---------------- -.. container:: justify - - Create a new text file within *unbreakable-bonds/* and name - it *input.lammps*. Copy the following lines into it: +Create a new text file within *unbreakable-bonds/* and name +it *input.lammps*. Copy the following lines into it: .. code-block:: lammps @@ -200,38 +174,30 @@ The LAMMPS input read_data cnt_molecular.data -.. container:: justify - - The chosen unit system is *real* (therefore distances are in Ångstrom and time in femtosecond), - the *atom_style* is molecular (therefore atoms are dots that can be bonded with each other), - and the boundary conditions are fixed. The boundary conditions - do not matter here, as the box boundaries were placed far from the CNT. - -.. container:: justify - - Just like in :ref:`lennard-jones-label`, - the pair style is *lj/cut* (i.e. a Lennard-Jones potential - with a short-range cutoff) with parameter 14, which means that only the atoms - closer than 14 Ångstroms from each other interact through a Lennard-Jones - potential. +The chosen unit system is *real* (therefore distances are in Ångstrom and time in femtosecond), +the *atom_style* is molecular (therefore atoms are dots that can be bonded with each other), +and the boundary conditions are fixed. The boundary conditions +do not matter here, as the box boundaries were placed far from the CNT. -.. container:: justify +Just like in :ref:`lennard-jones-label`, +the pair style is *lj/cut* (i.e. a Lennard-Jones potential +with a short-range cutoff) with parameter 14, which means that only the atoms +closer than 14 Ångstroms from each other interact through a Lennard-Jones +potential. - The *bond_style*, *angle_style*, *dihedral_style*, and *improper_style* commands specify the - different potentials used to restrain the relative positions of the - atoms. For more details about the potentials used here, you can have a look - at the LAMMPS website, see for example - the page of the |OPLS| :cite:`jorgensen1988opls`. +The *bond_style*, *angle_style*, *dihedral_style*, and *improper_style* commands specify the +different potentials used to restrain the relative positions of the +atoms. For more details about the potentials used here, you can have a look +at the LAMMPS website, see for example +the page of the |OPLS| :cite:`jorgensen1988opls`. .. |OPLS| raw:: html OPLS dihedral style -.. container:: justify - - The last command, *read_data*, imports the *cnt_molecular.data* file - previously generated with VMD, which contains - information about the box size, atom positions, etc. +The last command, *read_data*, imports the *cnt_molecular.data* file +previously generated with VMD, which contains +information about the box size, atom positions, etc. .. admonition:: About interaction between neighbors atoms :class: info @@ -249,14 +215,12 @@ The LAMMPS input they only interact through the harmonic potential that bonds the atoms of the graphene). -.. container:: justify - - We need to specify the parameters of both bonded and - non-bonded potentials. Here, the parameters are taken from the OPLS-AA - (Optimised Potentials for Liquid Simulations-All-Atom) force - field :cite:`jorgensenDevelopmentTestingOPLS1996`. - Create a new text file in the *unbreakable-bonds/* - folder and name it *parm.lammps*. Copy the following lines into it: +We need to specify the parameters of both bonded and +non-bonded potentials. Here, the parameters are taken from the OPLS-AA +(Optimised Potentials for Liquid Simulations-All-Atom) force +field :cite:`jorgensenDevelopmentTestingOPLS1996`. +Create a new text file in the *unbreakable-bonds/* +folder and name it *parm.lammps*. Copy the following lines into it: .. code-block:: lammps @@ -266,29 +230,23 @@ The LAMMPS input dihedral_coeff 1 0 7.25 0 0 improper_coeff 1 5 180 -.. container:: justify - - The *pair_coeff* command sets the parameters for the non-bonded Lennard-Jones - interaction :math:`\epsilon_{11} = 0.066 \, \text{kcal/mol}` - and :math:`\sigma_{11} = 3.4 \, \text{Å}` for the only type of atom of the - simulation; the carbon atom of type 1. +The *pair_coeff* command sets the parameters for the non-bonded Lennard-Jones +interaction :math:`\epsilon_{11} = 0.066 \, \text{kcal/mol}` +and :math:`\sigma_{11} = 3.4 \, \text{Å}` for the only type of atom of the +simulation; the carbon atom of type 1. + +The *bond_coeff* provides the equilibrium distance :math:`r_0= 1.4 \, \text{Å}` as +well as the spring constant :math:`k_b = 469 \, \text{kcal/mol/Å}^2` for the harmonic +potential imposed between two neighboring carbon atoms, +where the potential is :math:`U_b = k_b ( r - r_0)^2`. The +*angle_coeff* gives the equilibrium angle :math:`\theta_0` and +constant for the potential between three neighbor atoms : +:math:`U_\theta = k_\theta ( \theta - \theta_0)^2`. The *dihedral_coeff* +and *improper_coeff* gives the potential for the constraints +between 4 atoms. -.. container:: justify - - The *bond_coeff* provides the equilibrium distance :math:`r_0= 1.4 \, \text{Å}` as - well as the spring constant :math:`k_b = 469 \, \text{kcal/mol/Å}^2` for the harmonic - potential imposed between two neighboring carbon atoms, - where the potential is :math:`U_b = k_b ( r - r_0)^2`. The - *angle_coeff* gives the equilibrium angle :math:`\theta_0` and - constant for the potential between three neighbor atoms : - :math:`U_\theta = k_\theta ( \theta - \theta_0)^2`. The *dihedral_coeff* - and *improper_coeff* gives the potential for the constraints - between 4 atoms. - -.. container:: justify - - The file *parm.lammps* is included in the simulation by adding the - following line into the *input.lammps* file: +The file *parm.lammps* is included in the simulation by adding the +following line into the *input.lammps* file: .. code-block:: lammps @@ -297,23 +255,19 @@ The LAMMPS input Prepare the initial state ------------------------- -.. container:: justify - - Before starting the molecular dynamics simulation, let us make sure that we - start from a clean initial state by recentering the CNT at the origin (0, 0, 0). - In addition, let us make sure that the box boundaries are symmetric with - respect to (0, 0, 0), which is not initially the case, as seen in *cnt_molecular.data*: +Before starting the molecular dynamics simulation, let us make sure that we +start from a clean initial state by recentering the CNT at the origin (0, 0, 0). +In addition, let us make sure that the box boundaries are symmetric with +respect to (0, 0, 0), which is not initially the case, as seen in *cnt_molecular.data*: .. code-block:: lammps -40.000000 40.000000 xlo xhi -40.000000 40.000000 ylo yhi -12.130411 67.869589 zlo zhi - -.. container:: justify - Let us recenter the CNT by adding the following lines - to *input.lammps*: +Let us recenter the CNT by adding the following lines +to *input.lammps*: .. code-block:: lammps @@ -324,19 +278,15 @@ Prepare the initial state displace_atoms carbon_atoms & move ${carbon_xcm} ${carbon_ycm} ${carbon_zcm} -.. container:: justify - - The first command includes all the atoms of type 1 - (i.e. all the atoms here) in a group named *carbon_atoms*. - The 3 variables, *carbon_xcm*, *carbon_ycm*, and *carbon_zcm* - are used to measure the current position of the group *carbon_atoms* along - all 3 directions, respectively. Then, the *displace_atoms* - command moves the group *carbon_atoms*, ensuring that its center of mass - is located at the origin (0, 0, 0). +The first command includes all the atoms of type 1 +(i.e. all the atoms here) in a group named *carbon_atoms*. +The 3 variables, *carbon_xcm*, *carbon_ycm*, and *carbon_zcm* +are used to measure the current position of the group *carbon_atoms* along +all 3 directions, respectively. Then, the *displace_atoms* +command moves the group *carbon_atoms*, ensuring that its center of mass +is located at the origin (0, 0, 0). -.. container:: justify - - Let us also change the box boundaries by adding the following line into *input.lammps*: +Let us also change the box boundaries by adding the following line into *input.lammps*: .. code-block:: lammps @@ -349,11 +299,9 @@ Prepare the initial state future data analysis, but won't make any difference to the molecular dynamics. -.. container:: justify - - A displacement will be imposed on the edges of the CNT. To do so, let us isolate the - atoms from the two edges and place them into groups named *rtop* - and *rbot*, respectively. Add the following lines into *input.lammps*: +A displacement will be imposed on the edges of the CNT. To do so, let us isolate the +atoms from the two edges and place them into groups named *rtop* +and *rbot*, respectively. Add the following lines into *input.lammps*: .. code-block:: lammps @@ -363,24 +311,20 @@ Prepare the initial state region rbot block INF INF INF INF INF ${zmin} region rmid block INF INF INF INF ${zmin} ${zmax} -.. container:: justify - - The variable :math:`z_\mathrm{max}` corresponds to - the coordinate of the last atoms along :math:`z` minus 0.5 - Ångstroms, and :math:`z_\mathrm{min}` to the coordinate of - the first atoms along :math:`z` plus 0.5 Ångstroms. Then, three - regions are defined and correspond respectively to: :math:`z < z_\mathrm{min}`, - (*rbot*, for region bottom) - :math:`z_\mathrm{min} > z > z_\mathrm{max}` - (*rmid*, for region middle), and - :math:`z > z_\mathrm{max}` - (*rtop*, for region top). - -.. container:: justify - - Finally, let us define 3 groups of atoms - corresponding to the atoms located in each of the three regions, - respectively, by adding to *input.lammps*: +The variable :math:`z_\mathrm{max}` corresponds to +the coordinate of the last atoms along :math:`z` minus 0.5 +Ångstroms, and :math:`z_\mathrm{min}` to the coordinate of +the first atoms along :math:`z` plus 0.5 Ångstroms. Then, three +regions are defined and correspond respectively to: :math:`z < z_\mathrm{min}`, +(*rbot*, for region bottom) +:math:`z_\mathrm{min} > z > z_\mathrm{max}` +(*rmid*, for region middle), and +:math:`z > z_\mathrm{max}` +(*rtop*, for region top). + +Finally, let us define 3 groups of atoms +corresponding to the atoms located in each of the three regions, +respectively, by adding to *input.lammps*: .. code-block:: lammps @@ -388,10 +332,8 @@ Prepare the initial state group carbon_bot region rbot group carbon_mid region rmid -.. container:: justify - - The atoms of the edges as selected within the *carbon_top* - and *carbon_bot* groups can be represented with a different color. +The atoms of the edges as selected within the *carbon_top* +and *carbon_bot* groups can be represented with a different color. .. figure:: ../figures/level1/breaking-a-carbon-nanotube/colored-edge-undef-dark.png :alt: CNT in graphene in vacuum image VMD @@ -406,11 +348,9 @@ Prepare the initial state Figure: CNT with the atoms from the *carbon_mid* group in pink, and the atoms from the *carbon_top* and the *carbon_bot* groups in white. -.. container:: justify - - When running a simulation, the number of atoms in each group is printed in - the terminal (and in the *log.lammps* file). Always make sure that the number - of atoms in each group corresponds to what is expected, just like here: +When running a simulation, the number of atoms in each group is printed in +the terminal (and in the *log.lammps* file). Always make sure that the number +of atoms in each group corresponds to what is expected, just like here: .. code-block:: bash @@ -418,13 +358,11 @@ Prepare the initial state 10 atoms in group carbon_bot 680 atoms in group carbon_mid -.. container:: justify - - Finally, to start from a less ideal state and create a system with some defects, - let us randomly delete a small fraction of the carbon atoms. - To avoid deleting atoms that are too close to the edges, - let us define a new region name *rdel* that - starts :math:`2\,Å` from the CNT edges. +Finally, to start from a less ideal state and create a system with some defects, +let us randomly delete a small fraction of the carbon atoms. +To avoid deleting atoms that are too close to the edges, +let us define a new region name *rdel* that +starts :math:`2\,Å` from the CNT edges. .. code-block:: lammps @@ -434,10 +372,8 @@ Prepare the initial state group rdel region rdel delete_atoms random fraction 0.02 no rdel NULL 482793 bond yes -.. container:: justify - - The *delete_atoms* command randomly deletes :math:`2\,\%` of the atoms - from the *rdel* group (i.e. about 10 atoms). +The *delete_atoms* command randomly deletes :math:`2\,\%` of the atoms +from the *rdel* group (i.e. about 10 atoms). .. figure:: ../figures/level1/breaking-a-carbon-nanotube/colored-edge-deleted-dark.png :alt: CNT in graphene in vacuum image VMD with deleted atoms @@ -455,10 +391,8 @@ Prepare the initial state The molecular dynamics ---------------------- -.. container:: justify - - Let us specify the thermalization and the dynamics of the - system. Add the following lines into *input.lammps*: +Let us specify the thermalization and the dynamics of the +system. Add the following lines into *input.lammps*: .. code-block:: lammps @@ -469,28 +403,22 @@ The molecular dynamics fix myber carbon_mid temp/berendsen ${T} ${T} 100 fix_modify myber temp Tmid -.. container:: justify - - Re-setting the atom IDs is necessary before using the *velocity* command, - this is done by the *reset_atoms* command. +Re-setting the atom IDs is necessary before using the *velocity* command, +this is done by the *reset_atoms* command. -.. container:: justify +The *velocity* command gives initial velocities to +the atoms of the middle group *carbon_mid*, ensuring an initial temperature +of 300 K for these atoms with no overall translational momentum, *mom yes*, +nor rotational momentum, *rot yes*. - The *velocity* command gives initial velocities to - the atoms of the middle group *carbon_mid*, ensuring an initial temperature - of 300 K for these atoms with no overall translational momentum, *mom yes*, - nor rotational momentum, *rot yes*. - -.. container:: justify - - The *fix nve* is applied to all atoms so that all atom positions are - recalculated at every step, and a *Berendsen* thermostat is applied to the atoms - of the group *carbon_mid* only :cite:`berendsen1984molecular`. The *fix_modify myber* - ensures that the *fix Berendsen* uses the temperature of the group *carbon_mid* as an - input, instead of the temperature of the whole system. This is necessary - to make sure that the frozen edges won't bias the temperature. Note that the atoms - of the edges do not need a thermostat because their motion will - be restrained, see below. +The *fix nve* is applied to all atoms so that all atom positions are +recalculated at every step, and a *Berendsen* thermostat is applied to the atoms +of the group *carbon_mid* only :cite:`berendsen1984molecular`. The *fix_modify myber* +ensures that the *fix Berendsen* uses the temperature of the group *carbon_mid* as an +input, instead of the temperature of the whole system. This is necessary +to make sure that the frozen edges won't bias the temperature. Note that the atoms +of the edges do not need a thermostat because their motion will +be restrained, see below. .. admonition:: Deal with semi-frozen system :class: info @@ -501,10 +429,8 @@ The molecular dynamics because the frozen atoms have no thermal motion (their temperature is therefore :math:`0\,\text{K}`). -.. container:: justify - - To restrain the motion of the atoms at the edges, let us add the - following commands to *input.lammps*: +To restrain the motion of the atoms at the edges, let us add the +following commands to *input.lammps*: .. code-block:: lammps @@ -513,21 +439,17 @@ The molecular dynamics velocity carbon_top set 0 0 0 velocity carbon_bot set 0 0 0 -.. container:: justify +The two *setforce* commands cancel the forces applied on the +atoms of the two edges, respectively. The cancellation of the forces +is done at every step, and along all 3 directions of space, :math:`x`, :math:`y`, +and :math:`z`, due to the use of *0 0 0*. The two *velocity* commands +set the initial velocities along :math:`x`, +:math:`y`, and :math:`z` to 0 for the atoms of *carbon_top* +and *carbon_bot*, respectively. - The two *setforce* commands cancel the forces applied on the - atoms of the two edges, respectively. The cancellation of the forces - is done at every step, and along all 3 directions of space, :math:`x`, :math:`y`, - and :math:`z`, due to the use of *0 0 0*. The two *velocity* commands - set the initial velocities along :math:`x`, - :math:`y`, and :math:`z` to 0 for the atoms of *carbon_top* - and *carbon_bot*, respectively. - -.. container:: justify - - As a consequence of these last four commands, the atoms of the edges will remain - immobile during the simulation (or at least they would if no other command was - applied to them). +As a consequence of these last four commands, the atoms of the edges will remain +immobile during the simulation (or at least they would if no other command was +applied to them). .. admonition:: On imposing a constant velocity to a system :class: info @@ -543,11 +465,9 @@ The molecular dynamics Data extraction --------------- -.. container:: justify - - Next, in order to measure the strain and stress suffered by the - CNT, let us extract the distance :math:`L` between - the two edges as well as the force applied on the edges. +Next, in order to measure the strain and stress suffered by the +CNT, let us extract the distance :math:`L` between +the two edges as well as the force applied on the edges. .. code-block:: lammps @@ -556,19 +476,15 @@ Data extraction fix at2 all ave/time 10 10 100 f_mysf1[1] f_mysf2[1] & file output_edge_force.dat -.. container:: justify - - Let us also add a command to print the atom coordinates in a - *lammpstrj* file every 1000 steps. +Let us also add a command to print the atom coordinates in a +*lammpstrj* file every 1000 steps. .. code-block:: lammps dump mydmp all atom 1000 dump.lammpstrj -.. container:: justify - - Finally, let us check the temperature of the non-frozen group over time - by printing it using a *fix ave/time* command: +Finally, let us check the temperature of the non-frozen group over time +by printing it using a *fix ave/time* command: .. code-block:: lammps @@ -583,10 +499,8 @@ Data extraction calling them using *f_*, the same way variables are called using *v_* and computes are called using *c_*. -.. container:: justify - - Let us run a small equilibration step to bring the system - to the required temperature before applying any deformation: +Let us run a small equilibration step to bring the system +to the required temperature before applying any deformation: .. code-block:: lammps @@ -596,20 +510,16 @@ Data extraction timestep 1.0 run 5000 -.. container:: justify - - With the *thermo_modify* command, we specify to LAMMPS that we - want the temperature :math:`T_\mathrm{mid}` to be printed in - the terminal, not the temperature of the entire system - (because of the frozen edges, the temperature of - the entire system is not relevant). - -.. container:: justify +With the *thermo_modify* command, we specify to LAMMPS that we +want the temperature :math:`T_\mathrm{mid}` to be printed in +the terminal, not the temperature of the entire system +(because of the frozen edges, the temperature of +the entire system is not relevant). - Let us impose a constant velocity deformation on the CNT by combining - the *velocity set* command with previously defined *fix setforce*. - Add the following lines in the *input.lammps* file, - right after the last *run 5000* command: +Let us impose a constant velocity deformation on the CNT by combining +the *velocity set* command with previously defined *fix setforce*. +Add the following lines in the *input.lammps* file, +right after the last *run 5000* command: .. code-block:: lammps @@ -618,11 +528,9 @@ Data extraction velocity carbon_bot set 0 0 -0.0005 run 10000 -.. container:: justify - - The chosen velocity for the deformation is :math:`100\,\text{m/s}`. - The length :math:`L` of the CNT increase linearly over - time for :math:`t > 5\,\text{ps}`, as expected from the imposed constant velocity. +The chosen velocity for the deformation is :math:`100\,\text{m/s}`. +The length :math:`L` of the CNT increase linearly over +time for :math:`t > 5\,\text{ps}`, as expected from the imposed constant velocity. .. figure:: ../figures/level1/breaking-a-carbon-nanotube/length-unbreakable.png :alt: length of the CNT with time - lammps molecular dynamics @@ -637,12 +545,10 @@ Data extraction Figure: Evolution of the length :math:`L` of the CNT with time. The CNT starts deforming at :math:`t = 5\,\text{ps}`. -.. container:: justify - - The energy, which can be accessed from the log file, shows a non-linear - increase with time once the deformation starts, - which is expected from the typical dependency of bond energy with - bond distance :math:`U_b = k_b \left( r - r_0 \right)^2`. +The energy, which can be accessed from the log file, shows a non-linear +increase with time once the deformation starts, +which is expected from the typical dependency of bond energy with +bond distance :math:`U_b = k_b \left( r - r_0 \right)^2`. .. figure:: ../figures/level1/breaking-a-carbon-nanotube/energy-unbreakable-dm.png :alt: energy of the CNT with time - lammps molecular dynamics @@ -657,10 +563,8 @@ Data extraction Figure: Evolution of the total energy of the system with time. The CNT starts deforming at :math:`t = 5\,\text{ps}`. -.. container:: justify - - As always, is it important to ensure that the simulation - behaves as expected by opening the *dump.lammpstrj* file with VMD. +As always, is it important to ensure that the simulation +behaves as expected by opening the *dump.lammpstrj* file with VMD. .. figure:: ../figures/level1/breaking-a-carbon-nanotube/colored-edge-def-dark.png :alt: CNT in graphene in vacuum image VMD before and after deformation @@ -681,20 +585,16 @@ Data extraction Breakable bonds =============== -.. container:: justify - - When using a classical force field, as we just did, the bonds between the atoms - are non-breakable. Let us perform a similar simulation and deform a small CNT again, - but this time using a reactive force field that allows for the bonds to break - if the applied deformation is large enough. +When using a classical force field, as we just did, the bonds between the atoms +are non-breakable. Let us perform a similar simulation and deform a small CNT again, +but this time using a reactive force field that allows for the bonds to break +if the applied deformation is large enough. Input file initialization ------------------------- -.. container:: justify - - Create a second folder named *breakable-bonds/* next to *unbreakable-bonds/*, - and create a new input file in it called *input.lammps*. Type into input.lammps*: +Create a second folder named *breakable-bonds/* next to *unbreakable-bonds/*, +and create a new input file in it called *input.lammps*. Type into input.lammps*: .. code-block:: lammps @@ -706,13 +606,11 @@ Input file initialization boundary p p p pair_style airebo 2.5 1 1 -.. container:: justify - - The first difference with the previous part - is the unit system, here *metal* instead of *real*, a choice - that is imposed by the AIREBO force field. A second difference - is the use of the *atom_style atomic* instead of *molecular*, - since no explicit bond information is required with AIREBO. +The first difference with the previous part +is the unit system, here *metal* instead of *real*, a choice +that is imposed by the AIREBO force field. A second difference +is the use of the *atom_style atomic* instead of *molecular*, +since no explicit bond information is required with AIREBO. .. admonition:: About metal units :class: info @@ -723,18 +621,14 @@ Input file initialization Adapt the topology file ----------------------- -.. container:: justify - - Since *bond*, *angle*, and *dihedral* do not need to be explicitly - set when using AIREBO, some small changes need to be made to the - previously generated *.data* file. - -.. container:: justify +Since *bond*, *angle*, and *dihedral* do not need to be explicitly +set when using AIREBO, some small changes need to be made to the +previously generated *.data* file. - Duplicate the previous file *cnt_molecular.data*, name the copy *cnt_atom.data*, - and place it within *breakable-bonds/*. Then, remove all bond, angle, and dihedral - information from *cnt_atom.data*. Also, remove the second column of the - *Atoms* table, so that the *cnt_atom.data* looks like the following: +Duplicate the previous file *cnt_molecular.data*, name the copy *cnt_atom.data*, +and place it within *breakable-bonds/*. Then, remove all bond, angle, and dihedral +information from *cnt_atom.data*. Also, remove the second column of the +*Atoms* table, so that the *cnt_atom.data* looks like the following: .. code-block:: lammps @@ -754,11 +648,9 @@ Adapt the topology file 2 1 4.852682 1.821242 9.111212 # CA CNT (...) -.. container:: justify - - In addition, remove the *Bonds* table that is placed right after the - *Atoms* table (near line 743), as well as the *Angles*, *Dihedrals*, - and *Impropers* tables. The last lines of the file should look like this: +In addition, remove the *Bonds* table that is placed right after the +*Atoms* table (near line 743), as well as the *Angles*, *Dihedrals*, +and *Impropers* tables. The last lines of the file should look like this: .. code-block:: lammps @@ -768,10 +660,8 @@ Adapt the topology file 699 1 5.162323 -0.464617 47.431896 # CA CNT 700 1 5.099893 0.925494 47.699871 # CA CNT -.. container:: justify - - Alternatively, you can also download the file I generate - by clicking |download_CNT.data|. +Alternatively, you can also download the file I generate +by clicking |download_CNT.data|. .. |download_CNT.data| raw:: html @@ -780,10 +670,8 @@ Adapt the topology file Use of AIREBO potential ----------------------- -.. container:: justify - - Then, let us import the LAMMPS data file, and set the - pair coefficients by adding the following lines into *input.lammps* +Then, let us import the LAMMPS data file, and set the +pair coefficients by adding the following lines into *input.lammps*: .. code-block:: lammps @@ -791,10 +679,8 @@ Use of AIREBO potential read_data cnt_atom.data pair_coeff * * CH.airebo C -.. container:: justify - - Here, there is one single atom type. We impose this type - to be carbon by using the letter *C*. +Here, there is one single atom type. We impose this type +to be carbon by using the letter *C*. .. admonition:: Setting AIREBO pair coefficients :class: info @@ -803,12 +689,10 @@ Use of AIREBO potential If there are 2 atom types, and both are carbon, it would read: *pair_coeff * * CH.airebo C C*. If atoms of type 1 are carbon and atoms of type 2 are hydrogen, then *pair_coeff * * CH.airebo C H*. -.. container:: justify - - The *CH.airebo* file can be - downloaded by clicking |download_CH.airebo|, - and must be placed within the *breakable-bonds/* folder. - The rest of the *input.lammps* is very similar to the previous one: +The *CH.airebo* file can be +downloaded by clicking |download_CH.airebo|, +and must be placed within the *breakable-bonds/* folder. +The rest of the *input.lammps* is very similar to the previous one: .. |download_CH.airebo| raw:: html @@ -847,26 +731,20 @@ Use of AIREBO potential fix myber carbon_mid temp/berendsen ${T} ${T} 0.1 fix_modify myber temp Tmid -.. container:: justify - - Note that a large distance of 120 Ångstroms was used for the box size along - the *z* axis, to allow for larger deformation. In addition, the *change_box* command - was placed before the *displace_atoms* to avoid having the CNT crossing the edge of the box. +Note that a large distance of 120 Ångstroms was used for the box size along +the *z* axis, to allow for larger deformation. In addition, the *change_box* command +was placed before the *displace_atoms* to avoid having the CNT crossing the edge of the box. Start the simulation -------------------- -.. container:: justify - - Here, let us impose a constant velocity deformation using the atoms of one - edge while maintaining the other edge fixed (note that for the unbreakable - CNT, the motion was imposed on the 2 edges). - -.. container:: justify +Here, let us impose a constant velocity deformation using the atoms of one +edge while maintaining the other edge fixed (note that for the unbreakable +CNT, the motion was imposed on the 2 edges). - First, as an equilibration step, let us set the velocity to 0 - for the atoms of both edges. Let us fully constrain the edges. - Add the following lines into LAMMPS: +First, as an equilibration step, let us set the velocity to 0 +for the atoms of both edges. Let us fully constrain the edges. +Add the following lines into LAMMPS: .. code-block:: lammps @@ -888,14 +766,12 @@ Start the simulation timestep 0.0005 run 5000 -.. container:: justify - - Note the relatively small timestep of :math:`0.0005\,\text{ps}` used. A - reactive force field usually requires a smaller timestep than a classical one. - When running *input.lammps* with LAMMPS, you can see that the - temperature deviates from the target temperature of :math:`300\,\text{K}` - at the start of the equilibration, but that - after a few steps, it reaches the target value: +Note the relatively small timestep of :math:`0.0005\,\text{ps}` used. A +reactive force field usually requires a smaller timestep than a classical one. +When running *input.lammps* with LAMMPS, you can see that the +temperature deviates from the target temperature of :math:`300\,\text{K}` +at the start of the equilibration, but that +after a few steps, it reaches the target value: .. code-block:: bw @@ -916,11 +792,9 @@ Start the simulation Launch the deformation ---------------------- -.. container:: justify - - After equilibration, let us set the velocity to 15 m/s and run for - a longer duration than previously. Add the following lines into - *input.lammps*: +After equilibration, let us set the velocity to 15 m/s and run for +a longer duration than previously. Add the following lines into +*input.lammps*: .. code-block:: lammps @@ -928,16 +802,12 @@ Launch the deformation velocity carbon_top set 0 0 0.15 run 280000 -.. container:: justify - - The CNT should break around step 250000. If not, - use a longer run. - -.. container:: justify +The CNT should break around step 250000. If not, +use a longer run. - By opening the *lammpstrj* file using VMD, it is possible to observe the - bonds breaking at approximately two-thirds of the simulation. If the bonds - do not break, use a longer run. +By opening the *lammpstrj* file using VMD, it is possible to observe the +bonds breaking at approximately two-thirds of the simulation. If the bonds +do not break, use a longer run. .. |video_lammps_cnt| raw:: html @@ -967,11 +837,9 @@ Launch the deformation bonds between atoms in the LAMMPS simulation. Therefore the bonds seen in VMD when using the *DynamicBonds* representation can be misleading. -.. container:: justify - - Looking at the evolution of energy again, one can see that the energy is increasing - with the deformation. When bonds break, the energy relaxes abruptly, as can be seen - near $t=210~\text{ps}$ when plotting the evolution of the total energy with time. +Looking at the evolution of energy again, one can see that the energy is increasing +with the deformation. When bonds break, the energy relaxes abruptly, as can be seen +near $t=210~\text{ps}$ when plotting the evolution of the total energy with time. .. figure:: ../figures/level1/breaking-a-carbon-nanotube/energy-breakable-dm.png :alt: energy of the CNT with time - lammps molecular dynamics @@ -1020,14 +888,12 @@ Plot the strain-stress curves Solve the flying ice cube artifact ---------------------------------- -.. container:: justify - - The flying ice cube effect is one of the most famous artifacts of - molecular simulations :cite:`wong2016good`. - Download this seemingly simple |input_flying_cube|, which is a simplified - version of the input from the first part of the tutorial. - Run the input with this |data_flying_cube| file - and this |parm_flying_cube| file. +The flying ice cube effect is one of the most famous artifacts of +molecular simulations :cite:`wong2016good`. +Download this seemingly simple |input_flying_cube|, which is a simplified +version of the input from the first part of the tutorial. +Run the input with this |data_flying_cube| file +and this |parm_flying_cube| file. .. |input_flying_cube| raw:: html @@ -1041,10 +907,8 @@ Solve the flying ice cube artifact parameter -.. container:: justify - - When you run this simulation using LAMMPS, you should see that the temperature is - very close to :math:`300\,\text{K}`, as expected. +When you run this simulation using LAMMPS, you should see that the temperature is +very close to :math:`300\,\text{K}`, as expected. .. code-block:: bash @@ -1053,26 +917,18 @@ Solve the flying ice cube artifact 1000 300.00184 588.90015 1980.9013 3185.9386 51.695282 (...) -.. container:: justify - - However, if you look at the system using VMD, the atoms are not moving. - -.. container:: justify +However, if you look at the system using VMD, the atoms are not moving. - Can you identify the origin of the issue, and fix the input? +Can you identify the origin of the issue, and fix the input? Insert gas in the carbon nanotube --------------------------------- -.. container:: justify - - Modify the input from the unbreakable CNT, and add atoms of argon - within the CNT. - -.. container:: justify +Modify the input from the unbreakable CNT, and add atoms of argon +within the CNT. - Use the following *pair_coeff* for the argon, - and a mass of *39.948*: +Use the following *pair_coeff* for the argon, +and a mass of *39.948*: .. code-block:: lammps @@ -1097,15 +953,11 @@ Insert gas in the carbon nanotube Make a membrane of CNTs ----------------------- -.. container:: justify - - Replicate the CNT along the *x* - and *y* direction, and equilibrate the system to - create an infinite membrane made of multiple CNTs. - -.. container:: justify +Replicate the CNT along the *x* +and *y* direction, and equilibrate the system to +create an infinite membrane made of multiple CNTs. - Apply a shear deformation along *xy*. +Apply a shear deformation along *xy*. .. figure:: ../figures/level1/breaking-a-carbon-nanotube/membrane-dark.png :alt: deformed membrane of CNTs diff --git a/docs/sphinx/source/tutorials/level1/lennard-jones-fluid.rst b/docs/sphinx/source/tutorials/level1/lennard-jones-fluid.rst index 5f98678d..a8a52972 100644 --- a/docs/sphinx/source/tutorials/level1/lennard-jones-fluid.rst +++ b/docs/sphinx/source/tutorials/level1/lennard-jones-fluid.rst @@ -21,24 +21,18 @@ Lennard-Jones fluid :align: right :class: only-light -.. container:: abstract - - The objective of this tutorial is to perform the simulation of a binary - fluid using LAMMPS. - -.. container:: abstract - - The system is a Lennard-Jones fluid composed of neutral particles with two - different diameters, contained within a cubic box with periodic boundary conditions - In this tutorial, the temperature of the system is maintained using a Langevin - thermostat :cite:`schneider1978molecular`, and basic quantities are extracted - from the system, including the potential and kinetic energies. - -.. container:: abstract - - This tutorial illustrates several key ingredients of molecular dynamics - simulations, such as system initialization, energy minimization, integration - of the equations of motion, and trajectory visualization. +The objective of this tutorial is to perform the simulation of a binary +fluid using LAMMPS. + +The system is a Lennard-Jones fluid composed of neutral particles with two +different diameters, contained within a cubic box with periodic boundary conditions +In this tutorial, the temperature of the system is maintained using a Langevin +thermostat :cite:`schneider1978molecular`, and basic quantities are extracted +from the system, including the potential and kinetic energies. + +This tutorial illustrates several key ingredients of molecular dynamics +simulations, such as system initialization, energy minimization, integration +of the equations of motion, and trajectory visualization. .. include:: ../../non-tutorials/needhelp.rst .. include:: ../../non-tutorials/2Aug2023.rst From 09a5a67107474afe089f66e3df828b6f03670e4e Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Sat, 10 Aug 2024 00:06:55 +0200 Subject: [PATCH 03/51] remove justify container for tutorial 3 --- .../tutorials/level2/polymer-in-water.rst | 556 +++++++----------- 1 file changed, 217 insertions(+), 339 deletions(-) diff --git a/docs/sphinx/source/tutorials/level2/polymer-in-water.rst b/docs/sphinx/source/tutorials/level2/polymer-in-water.rst index e3b0b9de..459be21b 100644 --- a/docs/sphinx/source/tutorials/level2/polymer-in-water.rst +++ b/docs/sphinx/source/tutorials/level2/polymer-in-water.rst @@ -19,26 +19,20 @@ Polymer in water :align: right :class: only-light -.. container:: justify +The goal of this tutorial is to use LAMMPS to solvate a small +hydrophilic polymer (PEG - PolyEthylene Glycol) in a reservoir of water. - The goal of this tutorial is to use LAMMPS to solvate a small - hydrophilic polymer (PEG - PolyEthylene Glycol) in a reservoir of water. +Once the water reservoir is properly equilibrated at the desired temperature +and pressure, the polymer molecule is added and a constant stretching force +is applied to both ends of the polymer. The evolution of the polymer length +is measured as a function of time. The GROMOS 54A7 force field +:cite:`schmid2011definition` is used for the PEG, the SPC/Fw +model :cite:`wu2006flexible` is used for the water, and the long-range +Coulomb interactions are solved using the PPPM solver :cite:`luty1996calculating`. -.. container:: justify - - Once the water reservoir is properly equilibrated at the desired temperature - and pressure, the polymer molecule is added and a constant stretching force - is applied to both ends of the polymer. The evolution of the polymer length - is measured as a function of time. The GROMOS 54A7 force field - :cite:`schmid2011definition` is used for the PEG, the SPC/Fw - model :cite:`wu2006flexible` is used for the water, and the long-range - Coulomb interactions are solved using the PPPM solver :cite:`luty1996calculating`. - -.. container:: justify - - This tutorial was inspired by a |Liese2017| by Liese and coworkers, in which - molecular dynamics simulations are - compared with force spectroscopy experiments :cite:`liese2017hydration`. +This tutorial was inspired by a |Liese2017| by Liese and coworkers, in which +molecular dynamics simulations are +compared with force spectroscopy experiments :cite:`liese2017hydration`. .. |Liese2017| raw:: html @@ -53,20 +47,16 @@ Polymer in water Preparing the water reservoir ============================= -.. container:: justify - - In this tutorial, the water reservoir is first prepared in the absence of - the polymer. A rectangular box of water is created and - equilibrated at ambient temperature and ambient pressure. - The SPC/Fw water model is used :cite:`wu2006flexible`, which is - a flexible variant of the rigid SPC (simple point charge) - model :cite:`berendsen1981interaction`. +In this tutorial, the water reservoir is first prepared in the absence of +the polymer. A rectangular box of water is created and +equilibrated at ambient temperature and ambient pressure. +The SPC/Fw water model is used :cite:`wu2006flexible`, which is +a flexible variant of the rigid SPC (simple point charge) +model :cite:`berendsen1981interaction`. -.. container:: justify - - Create a folder named *pureH2O/*. Inside this folder, create - an empty text file named *input.lammps*. Copy the following - lines into it: +Create a folder named *pureH2O/*. Inside this folder, create +an empty text file named *input.lammps*. Copy the following +lines into it: .. code-block:: lammps @@ -79,22 +69,18 @@ Preparing the water reservoir kspace_style pppm 1e-5 special_bonds lj 0.0 0.0 0.5 coul 0.0 0.0 1.0 angle yes -.. container:: justify - - With the unit style *real*, masses are in grams per - mole, distances in Ångstroms, time in femtoseconds, and energies - in Kcal/mole. With the *atom_style full*, each atom is a dot - with a mass and a charge that can be - linked by bonds, angles, dihedrals, and/or impropers. The *bond_style*, - *angle_style*, and *dihedral_style* commands define the - potentials for the bonds, angles, and dihedrals used in the simulation, - here *harmonic*. +With the unit style *real*, masses are in grams per +mole, distances in Ångstroms, time in femtoseconds, and energies +in Kcal/mole. With the *atom_style full*, each atom is a dot +with a mass and a charge that can be +linked by bonds, angles, dihedrals, and/or impropers. The *bond_style*, +*angle_style*, and *dihedral_style* commands define the +potentials for the bonds, angles, and dihedrals used in the simulation, +here *harmonic*. -.. container:: justify - - Always refer to the LAMMPS |lammps_documentation| if you have doubts about the - potential used by LAMMPS. For instance, this |lammps_documentation_angle_harmonic| - gives the expression for the harmonic angular potential. +Always refer to the LAMMPS |lammps_documentation| if you have doubts about the +potential used by LAMMPS. For instance, this |lammps_documentation_angle_harmonic| +gives the expression for the harmonic angular potential. .. |lammps_documentation| raw:: html @@ -104,11 +90,9 @@ Preparing the water reservoir page -.. container:: justify - - Finally, the *special_bonds* command, which was already seen in - the previous tutorial, :ref:`carbon-nanotube-label`, sets the LJ and Coulomb - weighting factors for the interaction between neighboring atoms. +Finally, the *special_bonds* command, which was already seen in +the previous tutorial, :ref:`carbon-nanotube-label`, sets the LJ and Coulomb +weighting factors for the interaction between neighboring atoms. .. admonition:: About *special bonds* :class: info @@ -122,12 +106,10 @@ Preparing the water reservoir not the water), only half of the LJ interaction will be taken into account, and the full Coulomb interaction will be used. -.. container:: justify - - With the *pair_style* named *lj/cut/coul/long*, atoms - interact through both a Lennard-Jones (LJ) potential and - Coulomb interactions. The value of :math:`10\,\text{Å}` is - the cutoff. +With the *pair_style* named *lj/cut/coul/long*, atoms +interact through both a Lennard-Jones (LJ) potential and +Coulomb interactions. The value of :math:`10\,\text{Å}` is +the cutoff. .. admonition:: About cutoff in molecular dynamics :class: info @@ -140,11 +122,9 @@ Preparing the water reservoir the cutoff are computed directly, and interactions between atoms outside that cutoff are computed in the reciprocal space. -.. container:: justify - - Finally, the *kspace* command defines the long-range solver for the - Coulomb interactions. The *pppm* style refers to - particle-particle particle-mesh :cite:`luty1996calculating`. +Finally, the *kspace* command defines the long-range solver for the +Coulomb interactions. The *pppm* style refers to +particle-particle particle-mesh :cite:`luty1996calculating`. .. admonition:: About PPPM :class: info @@ -161,15 +141,13 @@ Preparing the water reservoir Luty and van Gunsteren -.. container:: justify - - Then, let us create a 3D simulation box of dimensions :math:`9 \times 3 \times 3 \; \text{nm}^3`, - and make space for 9 atom types (2 for - the water + 7 for the polymer), 7 bond types (1 for - the water + 6 for the polymer), 8 - angle types (1 for the water + 7 for the polymer), and 4 dihedral types - (for the polymer only). - Copy the following lines into *input.lammps*: +Then, let us create a 3D simulation box of dimensions :math:`9 \times 3 \times 3 \; \text{nm}^3`, +and make space for 9 atom types (2 for +the water + 7 for the polymer), 7 bond types (1 for +the water + 6 for the polymer), 8 +angle types (1 for the water + 7 for the polymer), and 4 dihedral types +(for the polymer only). +Copy the following lines into *input.lammps*: .. code-block:: lammps @@ -193,40 +171,32 @@ Preparing the water reservoir you see the following error message *ERROR: Molecule topology/atom exceeds system topology/atom*. -.. container:: justify - - Let us create a *PARM.lammps* file containing all the - parameters (masses, interaction energies, bond equilibrium - distances, etc). In *input.lammps*, add the following line: +Let us create a *PARM.lammps* file containing all the +parameters (masses, interaction energies, bond equilibrium +distances, etc). In *input.lammps*, add the following line: .. code-block:: lammps include ../PARM.lammps -.. container:: justify - - Then, download and save the |PARM_PEG.data| file - next to the *pureH2O/* folder. +Then, download and save the |PARM_PEG.data| file +next to the *pureH2O/* folder. .. |PARM_PEG.data| raw:: html parameter -.. container:: justify - - Within *PARM.lammps*, the *mass* and *pair_coeff* of atoms - of types 8 and 9 are for water and the - atoms of types 1 to 7 are for the polymer - molecule. Similarly, the *bond_coeff 7* and - *angle_coeff 8* are for water, while all - the other parameters are for the polymer. +Within *PARM.lammps*, the *mass* and *pair_coeff* of atoms +of types 8 and 9 are for water and the +atoms of types 1 to 7 are for the polymer +molecule. Similarly, the *bond_coeff 7* and +*angle_coeff 8* are for water, while all +the other parameters are for the polymer. -.. container:: justify - - Let us create water molecules. To do so, let us - import a molecule template called - *H2O-SPCFw.mol* and then let us randomly create 1050 molecules. - Add the following lines into *input.lammps*: +Let us create water molecules. To do so, let us +import a molecule template called +*H2O-SPCFw.mol* and then let us randomly create 1050 molecules. +Add the following lines into *input.lammps*: .. code-block:: lammps @@ -234,47 +204,39 @@ Preparing the water reservoir create_atoms 0 random 1050 87910 NULL mol & h2omol 454756 overlap 1.0 maxtry 50 -.. container:: justify - - The *overlap 1* option of the *create_atoms* command ensures that no atoms are - placed exactly in the same position, as this would cause the simulation to - crash. The *maxtry 50* asks LAMMPS to try at most - 50 times to insert the molecules, which is useful in case some - insertion attempts are rejected due to overlap. In some cases, depending on - the system and the values of *overlap* - and *maxtry*, LAMMPS may not create the desired number of molecules. - Always check the number of created atoms in the *log* file after - starting the simulation: +The *overlap 1* option of the *create_atoms* command ensures that no atoms are +placed exactly in the same position, as this would cause the simulation to +crash. The *maxtry 50* asks LAMMPS to try at most +50 times to insert the molecules, which is useful in case some +insertion attempts are rejected due to overlap. In some cases, depending on +the system and the values of *overlap* +and *maxtry*, LAMMPS may not create the desired number of molecules. +Always check the number of created atoms in the *log* file after +starting the simulation: .. code-block:: bw Created 3150 atoms -.. container:: justify +When LAMMPS fails to create the desired number of molecules, a WARNING +appears in the *log* file. - When LAMMPS fails to create the desired number of molecules, a WARNING - appears in the *log* file. - -.. container:: justify - - The molecule template named *H2O-SPCFw.mol* - can be |download_FlexibleH2O| - and saved in the *pureH2O/* folder. - This template contains the necessary structural - information of a water molecule, such as the number of atoms, or the IDs - of the atoms that are connected by bonds, angles, etc. +The molecule template named *H2O-SPCFw.mol* +can be |download_FlexibleH2O| +and saved in the *pureH2O/* folder. +This template contains the necessary structural +information of a water molecule, such as the number of atoms, or the IDs +of the atoms that are connected by bonds, angles, etc. .. |download_FlexibleH2O| raw:: html downloaded -.. container:: justify - - Then, let us organize the atoms of types 8 and 9 of the water molecules - in a group named *H2O* and perform a small energy minimization. The - energy minimization is mandatory here given the small *overlap* value - of 1 Ångstrom chosen in the *create_atoms* command. Add the following lines - to *input.lammps*: +Then, let us organize the atoms of types 8 and 9 of the water molecules +in a group named *H2O* and perform a small energy minimization. The +energy minimization is mandatory here given the small *overlap* value +of 1 Ångstrom chosen in the *create_atoms* command. Add the following lines +to *input.lammps*: .. code-block:: lammps @@ -282,39 +244,31 @@ Preparing the water reservoir minimize 1.0e-4 1.0e-6 100 1000 reset_timestep 0 -.. container:: justify - - In general, resetting the step of the simulation to 0 using the - *reset_timestep* command is optional. It is used here because the number - of iterations performed by the *minimize* command is usually not a round - number (since the minimization stops when one of four criteria is reached). +In general, resetting the step of the simulation to 0 using the +*reset_timestep* command is optional. It is used here because the number +of iterations performed by the *minimize* command is usually not a round +number (since the minimization stops when one of four criteria is reached). -.. container:: justify - - Let us use the *fix npt* to - control the temperature of the molecules with a Nosé-Hoover thermostat and - the pressure of the system with a Nosé-Hoover barostat - :cite:`nose1984unified, hoover1985canonical, martyna1994constant`, - by adding the following line into *input.lammps*: +Let us use the *fix npt* to +control the temperature of the molecules with a Nosé-Hoover thermostat and +the pressure of the system with a Nosé-Hoover barostat +:cite:`nose1984unified, hoover1985canonical, martyna1994constant`, +by adding the following line into *input.lammps*: .. code-block:: lammps fix mynpt all npt temp 300 300 100 iso 1 1 1000 -.. container:: justify - - The *fix npt* allows us to impose both a temperature of :math:`300\,\text{K}` - (with a damping constant of :math:`100\,\text{fs}`), - and a pressure of 1 atmosphere (with a damping constant of :math:`1000\,\text{fs}`). - With the *iso* keyword, the three dimensions of the box will be re-scaled - simultaneously. +The *fix npt* allows us to impose both a temperature of :math:`300\,\text{K}` +(with a damping constant of :math:`100\,\text{fs}`), +and a pressure of 1 atmosphere (with a damping constant of :math:`1000\,\text{fs}`). +With the *iso* keyword, the three dimensions of the box will be re-scaled +simultaneously. -.. container:: justify - - Let us print the atom positions in a *.lammpstrj* file every 1000 - steps (i.e. 1 ps), print the temperature volume, and - density every 100 steps in 3 separate data files, and - print the information in the terminal every 1000 steps: +Let us print the atom positions in a *.lammpstrj* file every 1000 +steps (i.e. 1 ps), print the temperature volume, and +density every 100 steps in 3 separate data files, and +print the information in the terminal every 1000 steps: .. code-block:: lammps @@ -328,10 +282,8 @@ Preparing the water reservoir fix myat3 all ave/time 10 10 100 v_mydensity file density.dat thermo 1000 -.. container:: justify - - The variable *myoxy* corresponds to the number of atoms - divided by 3, i.e. the number of molecules. +The variable *myoxy* corresponds to the number of atoms +divided by 3, i.e. the number of molecules. .. admonition:: On calling variables in LAMMPS :class: info @@ -342,11 +294,9 @@ Preparing the water reservoir To probe the temporal evolution of a variable with time, the underscore must be used. -.. container:: justify - - Finally, let us set the timestep to 1.0 fs, - and run the simulation for 20 ps by adding the - following lines into *input.lammps*: +Finally, let us set the timestep to 1.0 fs, +and run the simulation for 20 ps by adding the +following lines into *input.lammps*: .. code-block:: lammps @@ -355,14 +305,10 @@ Preparing the water reservoir write_data H2O.data -.. container:: justify - - The final state is written into *H2O.data*. +The final state is written into *H2O.data*. -.. container:: justify - - If you open the *dump.lammpstrj* file using VMD, you should - see the system quickly reaching its equilibrium volume and density. +If you open the *dump.lammpstrj* file using VMD, you should +see the system quickly reaching its equilibrium volume and density. .. figure:: ../figures/level2/polymer-in-water/water-light.png :alt: Curves showing the equilibration of the water reservoir @@ -377,10 +323,8 @@ Preparing the water reservoir Figure: Water reservoir after equilibration. Oxygen atoms are in red, and hydrogen atoms are in white. -.. container:: justify - - Open the *density.dat* file to ensure that the system converged - toward a (reasonably) well-equilibrated liquid water system during the 20 ps of simulation. +Open the *density.dat* file to ensure that the system converged +toward a (reasonably) well-equilibrated liquid water system during the 20 ps of simulation. .. figure:: ../figures/level2/polymer-in-water/density_H2O.png :alt: Curves showing the equilibration of the water reservoir @@ -403,10 +347,8 @@ Preparing the water reservoir Increase this duration to at least :math:`500~\text{ps}` to obtain a density value that is comparable with the values given in Ref. :cite:`wu2006flexible`. -.. container:: justify - - If needed, you can |download_H2O.data| the water reservoir I have - equilibrated and use it to continue with the tutorial. +If needed, you can |download_H2O.data| the water reservoir I have +equilibrated and use it to continue with the tutorial. .. |download_H2O.data| raw:: html @@ -415,18 +357,14 @@ Preparing the water reservoir Solvating the PEG in water ========================== -.. container:: justify - - Now that the water reservoir is equilibrated, we can safely - include the PEG polymer in the water. - -.. container:: justify +Now that the water reservoir is equilibrated, we can safely +include the PEG polymer in the water. - The PEG molecule topology was downloaded from the |atb_repo| - repository :cite:`malde2011automated, oostenbrink2004biomolecular`. - It has a formula :math:`\text{C}_{28}\text{H}_{58}\text{O}_{15}`, - and the parameters are taken from - the GROMOS 54A7 force field :cite:`schmid2011definition`. +The PEG molecule topology was downloaded from the |atb_repo| +repository :cite:`malde2011automated, oostenbrink2004biomolecular`. +It has a formula :math:`\text{C}_{28}\text{H}_{58}\text{O}_{15}`, +and the parameters are taken from +the GROMOS 54A7 force field :cite:`schmid2011definition`. .. |atb_repo| raw:: html @@ -445,12 +383,10 @@ Solvating the PEG in water Figure: The PEG molecule in vacuum. The carbon atoms are in gray, the oxygen atoms in red, and the hydrogen atoms in white. -.. container:: justify - - Create a second folder alongside *pureH2O/* - and call it *mergePEGH2O/*. Create a new blank file in it, - call it *input.lammps*. Within *input.lammps*, copy the same first lines as - previously: +Create a second folder alongside *pureH2O/* +and call it *mergePEGH2O/*. Create a new blank file in it, +call it *input.lammps*. Within *input.lammps*, copy the same first lines as +previously: .. code-block:: lammps @@ -463,10 +399,8 @@ Solvating the PEG in water kspace_style pppm 1e-5 special_bonds lj 0.0 0.0 0.5 coul 0.0 0.0 1.0 angle yes dihedral yes -.. container:: justify - - Then, import the previously generated data file *H2O.data* - as well as the *PARM.lammps* file: +Then, import the previously generated data file *H2O.data* +as well as the *PARM.lammps* file: .. code-block:: lammps @@ -477,10 +411,8 @@ Solvating the PEG in water extra/special/per/atom 14 include ../PARM.lammps -.. container:: justify - - Download the molecule |download_PEG| for the PEG molecule, and then - create a single molecule in the middle of the box: +Download the molecule |download_PEG| for the PEG molecule, and then +create a single molecule in the middle of the box: .. |download_PEG| raw:: html @@ -491,46 +423,36 @@ Solvating the PEG in water molecule pegmol PEG-GROMOS.mol create_atoms 0 single 0 0 0 mol pegmol 454756 -.. container:: justify - - Let us create 2 groups to differentiate the PEG from the H2O, - by adding the following lines into *input.lammps*: +Let us create 2 groups to differentiate the PEG from the H2O, +by adding the following lines into *input.lammps*: .. code-block:: lammps group H2O type 8 9 group PEG type 1 2 3 4 5 6 7 -.. container:: justify - - Water molecules that are overlapping with the PEG must be deleted to avoid - future crashing. Add the following line into *input.lammps*: +Water molecules that are overlapping with the PEG must be deleted to avoid +future crashing. Add the following line into *input.lammps*: .. code-block:: lammps delete_atoms overlap 2.0 H2O PEG mol yes -.. container:: justify - - Here, the value of 2 Ångstroms for the overlap cutoff was fixed arbitrarily - and can be chosen through trial and error. If the cutoff is too small, the - simulation will crash. If the cutoff is too large, too many water molecules - will unnecessarily be deleted. +Here, the value of 2 Ångstroms for the overlap cutoff was fixed arbitrarily +and can be chosen through trial and error. If the cutoff is too small, the +simulation will crash. If the cutoff is too large, too many water molecules +will unnecessarily be deleted. -.. container:: justify - - Finally, let us use the *fix npt* to control the temperature, as well as - the pressure by allowing the box size to be rescaled along the *x* axis: +Finally, let us use the *fix npt* to control the temperature, as well as +the pressure by allowing the box size to be rescaled along the *x* axis: .. code-block:: lammps fix mynpt all npt temp 300 300 100 x 1 1 1000 timestep 1.0 -.. container:: justify - - Once more, let us dump the atom positions as well as the system temperature - and volume: +Once more, let us dump the atom positions as well as the system temperature +and volume: .. code-block:: lammps @@ -541,34 +463,28 @@ Solvating the PEG in water fix myat1 all ave/time 10 10 100 v_mytemp file temperature.dat fix myat2 all ave/time 10 10 100 v_myvol file volume.dat -.. container:: justify - - Let us also print the total enthalpy: +Let us also print the total enthalpy: .. code-block:: lammps variable myenthalpy equal enthalpy fix myat3 all ave/time 10 10 100 v_myenthalpy file enthalpy.dat -.. container:: justify - - Finally, let us perform a short equilibration and print the - final state in a data file. Add the following lines into the data file: +Finally, let us perform a short equilibration and print the +final state in a data file. Add the following lines into the data file: .. code-block:: lammps run 30000 write_data mix.data -.. container:: justify - - If you open the *dump.lammpstrj* file using VMD - or have a look at the evolution of the volume in *volume.dat*, - you should see that the box dimensions slightly evolve along *x* - to accommodate the new configuration. In addition, the temperature remains - close to the target value of :math:`300~\text{K}` throughout the entire simulation, - and the enthalpy is almost constant, suggesting that the system was close - to equilibrium from the start. +If you open the *dump.lammpstrj* file using VMD +or have a look at the evolution of the volume in *volume.dat*, +you should see that the box dimensions slightly evolve along *x* +to accommodate the new configuration. In addition, the temperature remains +close to the target value of :math:`300~\text{K}` throughout the entire simulation, +and the enthalpy is almost constant, suggesting that the system was close +to equilibrium from the start. .. figure:: ../figures/level2/polymer-in-water/solvatedPEG_light.png :alt: PEG in water @@ -586,28 +502,22 @@ Solvating the PEG in water Stretching the PEG molecule =========================== -.. container:: justify - - Here, a constant forcing is applied to the two ends of the PEG molecule - until it stretches. Create a new folder next to the previously created - folders, call it *pullonPEG/*, and create a new input file in it - called *input.lammps*. +Here, a constant forcing is applied to the two ends of the PEG molecule +until it stretches. Create a new folder next to the previously created +folders, call it *pullonPEG/*, and create a new input file in it +called *input.lammps*. -.. container:: justify - - First, let us create a variable *f0* corresponding to the magnitude - of the force we are going to apply: +First, let us create a variable *f0* corresponding to the magnitude +of the force we are going to apply: .. code-block:: lammps variable f0 equal 5 -.. container:: justify - - The force magnitude of :math:`1\,\text{kcal/mol/Å}` corresponds - to :math:`67.2\,\text{pN}` and was chosen to be large enough to overcome - the thermal agitation and the entropic contribution from both water and PEG - molecules (it was chosen by trial and error). Then, copy the same lines as previously: +The force magnitude of :math:`1\,\text{kcal/mol/Å}` corresponds +to :math:`67.2\,\text{pN}` and was chosen to be large enough to overcome +the thermal agitation and the entropic contribution from both water and PEG +molecules (it was chosen by trial and error). Then, copy the same lines as previously: .. code-block:: lammps @@ -620,23 +530,19 @@ Stretching the PEG molecule kspace_style pppm 1e-5 special_bonds lj 0.0 0.0 0.5 coul 0.0 0.0 1.0 angle yes dihedral yes -.. container:: justify - - Start the simulation from the equilibrated PEG-water system and include - again the parameter file by adding the following lines into the *input.lammps*: +Start the simulation from the equilibrated PEG-water system and include +again the parameter file by adding the following lines into the *input.lammps*: .. code-block:: lammps read_data ../mergePEGH2O/mix.data include ../PARM.lammps -.. container:: justify - - Then, let us create 4 atom groups: H2O and PEG (as previously), as well - as 2 groups containing only the 2 oxygen atoms of types 6 and 7, - respectively. Atoms of types 6 and 7 correspond to the oxygen atoms - located at the ends of the PEG molecule, which we are going to use to pull - on the PEG molecule. Add the following lines into the *input.lammps*: +Then, let us create 4 atom groups: H2O and PEG (as previously), as well +as 2 groups containing only the 2 oxygen atoms of types 6 and 7, +respectively. Atoms of types 6 and 7 correspond to the oxygen atoms +located at the ends of the PEG molecule, which we are going to use to pull +on the PEG molecule. Add the following lines into the *input.lammps*: .. code-block:: lammps @@ -645,32 +551,26 @@ Stretching the PEG molecule group topull1 type 6 group topull2 type 7 -.. container:: justify - - Add the following *dump* command to the input to print the atom positions - every 1000 steps: +Add the following *dump* command to the input to print the atom positions +every 1000 steps: .. code-block:: lammps dump mydmp all atom 1000 dump.lammpstrj -.. container:: justify - - Let us use a single Nosé-Hoover thermostat applied to all the atoms by - adding the following lines into *input.lammps*: +Let us use a single Nosé-Hoover thermostat applied to all the atoms by +adding the following lines into *input.lammps*: .. code-block:: lammps timestep 1.0 fix mynvt all nvt temp 300 300 100 -.. container:: justify - - Let us also print the end-to-end distance of the PEG, - here defined as the distance between the groups *topull1* - and *topull2*, as well as the temperature of the system and the gyration - radius of the molecule :cite:`fixmanRadiusGyrationPolymer1962a` - by adding the following lines into *input.lammps*: +Let us also print the end-to-end distance of the PEG, +here defined as the distance between the groups *topull1* +and *topull2*, as well as the temperature of the system and the gyration +radius of the molecule :cite:`fixmanRadiusGyrationPolymer1962a` +by adding the following lines into *input.lammps*: .. code-block:: lammps @@ -689,19 +589,15 @@ Stretching the PEG molecule fix myat3 all ave/time 10 10 100 c_rgyr file gyration-radius.dat thermo 1000 -.. container:: justify - - Finally, let us simulate 30 picoseconds without any external forcing: +Finally, let us simulate 30 picoseconds without any external forcing: .. code-block:: lammps run 30000 -.. container:: justify - - This first run will serve as a benchmark to later quantify the changes - induced by the forcing. Then, let us apply a forcing on the 2 oxygen - atoms using two *add_force* commands, and run for an extra 30 ps: +This first run will serve as a benchmark to later quantify the changes +induced by the forcing. Then, let us apply a forcing on the 2 oxygen +atoms using two *add_force* commands, and run for an extra 30 ps: .. code-block:: lammps @@ -709,11 +605,9 @@ Stretching the PEG molecule fix myaf2 topull2 addforce -${f0} 0 0 run 30000 -.. container:: justify - - Run the *input.lammps* file using LAMMPS. If you open the *dump.lammpstrj* - file using *VMD*, you should see that the PEG molecule eventually aligns - in the direction of the force. +Run the *input.lammps* file using LAMMPS. If you open the *dump.lammpstrj* +file using *VMD*, you should see that the PEG molecule eventually aligns +in the direction of the force. .. figure:: ../figures/level2/polymer-in-water/pulled_peg_dark.png :alt: PEG molecule in water @@ -733,10 +627,8 @@ Stretching the PEG molecule video -.. container:: justify - - The evolution of the end-to-end distance over time - shows the PEG adjusting to the external forcing: +The evolution of the end-to-end distance over time +shows the PEG adjusting to the external forcing: .. figure:: ../figures/level2/polymer-in-water/distance-dm.png :alt: plot of the end-to-end distance versus time @@ -752,10 +644,8 @@ Stretching the PEG molecule with time. The forcing starts at :math:`t = 30` ps. b) Evolution of the gyration radius :math:`R_\text{gyr}` of the PEG molecule. -.. container:: justify - - There is a follow-up to this polymer in water tutorial as :ref:`mda-label`, - where the trajectory is imported in Python using MDAnalysis. +There is a follow-up to this polymer in water tutorial as :ref:`mda-label`, +where the trajectory is imported in Python using MDAnalysis. .. include:: ../../non-tutorials/accessfile.rst @@ -767,12 +657,10 @@ Going further with exercises Extract the radial distribution function ---------------------------------------- -.. container:: justify - - Extract the radial distribution functions (RDF or :math:`g(r)`) - between the oxygen atom of the water molecules - and the oxygen atom from the PEG molecule. Compare the rdf - before and after the force is applied to the PEG. +Extract the radial distribution functions (RDF or :math:`g(r)`) +between the oxygen atom of the water molecules +and the oxygen atom from the PEG molecule. Compare the rdf +before and after the force is applied to the PEG. .. figure:: ../figures/level2/polymer-in-water/RDF-dark.png :alt: RDF g(r) for water and peg @@ -788,34 +676,28 @@ Extract the radial distribution function of water, as well as between the oxygen atoms of water and the oxygen atoms of the PEG molecule. -.. container:: justify - - Note the difference in the structure of the water before and after - the PEG molecule is stretched. This effect is described in - the 2017 publication by Liese et al. :cite:`liese2017hydration`. +Note the difference in the structure of the water before and after +the PEG molecule is stretched. This effect is described in +the 2017 publication by Liese et al. :cite:`liese2017hydration`. Add salt to the system ---------------------- -.. container:: justify - - Realistic systems usually contain ions. Let us add some :math:`\text{Na}^+` and - :math:`\text{Cl}^-` ions to our current PEG-water system. - -.. container:: justify - - Add some :math:`\text{Na}^+` and - :math:`\text{Cl}^-` ions to the mixture using the method - of your choice. :math:`\text{Na}^+` ions are - characterised by their mass :math:`m = 22.98\,\text{g/mol}`, - their charge :math:`q = +1\,e`, and Lennard-Jones - parameters, :math:`\epsilon = 0.0469\,\text{kcal/mol}` - and :math:`\sigma = 0.243\,\text{nm}`, - and :math:`\text{Cl}^-` ions by their - mass :math:`m = 35.453\,\text{g/mol}`, - charge :math:`q = -1\,e` and Lennard-Jones - parameters, :math:`\epsilon = 0.15\,\text{kcal/mol}`, - and :math:`\sigma = 0.4045\,\text{nm}`. +Realistic systems usually contain ions. Let us add some :math:`\text{Na}^+` and +:math:`\text{Cl}^-` ions to our current PEG-water system. + +Add some :math:`\text{Na}^+` and +:math:`\text{Cl}^-` ions to the mixture using the method +of your choice. :math:`\text{Na}^+` ions are +characterised by their mass :math:`m = 22.98\,\text{g/mol}`, +their charge :math:`q = +1\,e`, and Lennard-Jones +parameters, :math:`\epsilon = 0.0469\,\text{kcal/mol}` +and :math:`\sigma = 0.243\,\text{nm}`, +and :math:`\text{Cl}^-` ions by their +mass :math:`m = 35.453\,\text{g/mol}`, +charge :math:`q = -1\,e` and Lennard-Jones +parameters, :math:`\epsilon = 0.15\,\text{kcal/mol}`, +and :math:`\sigma = 0.4045\,\text{nm}`. .. figure:: ../figures/level2/polymer-in-water/salt-exercise-dark.png :alt: PEG in a NaCl solution @@ -833,16 +715,12 @@ Add salt to the system Evaluate the deformation of the PEG ----------------------------------- -.. container:: justify - - Once the PEG is fully stretched, its structure differs from the - unstretched case. The deformation can be probed by extracting the typical - intra-molecular parameters, such as the typical angles of the dihedrals. - -.. container:: justify +Once the PEG is fully stretched, its structure differs from the +unstretched case. The deformation can be probed by extracting the typical +intra-molecular parameters, such as the typical angles of the dihedrals. - Extract the histograms of the angular distribution of the PEG dihedrals - in the absence and the presence of stretching. +Extract the histograms of the angular distribution of the PEG dihedrals +in the absence and the presence of stretching. .. figure:: ../figures/level2/polymer-in-water/dihedral_angle-dark.png :alt: PEG in a NaCl solution From 74cb62bace0a87c05952863bdf661a54edc0d1cf Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Sat, 10 Aug 2024 11:38:16 +0200 Subject: [PATCH 04/51] remove justify container for tutorial 4 --- .../level2/nanosheared-electrolyte.rst | 708 +++++++----------- 1 file changed, 282 insertions(+), 426 deletions(-) diff --git a/docs/sphinx/source/tutorials/level2/nanosheared-electrolyte.rst b/docs/sphinx/source/tutorials/level2/nanosheared-electrolyte.rst index 2d584e27..cfd63c04 100644 --- a/docs/sphinx/source/tutorials/level2/nanosheared-electrolyte.rst +++ b/docs/sphinx/source/tutorials/level2/nanosheared-electrolyte.rst @@ -19,20 +19,16 @@ Nanosheared electrolyte :class: only-light :align: right -.. container:: justify +The objective of this tutorial is to simulate an electrolyte nanoconfined +and sheared by two walls. The density and velocity profiles of the fluid in +the direction normal to the walls are extracted to highlight the effect of +confining a fluid on its local properties. - The objective of this tutorial is to simulate an electrolyte nanoconfined - and sheared by two walls. The density and velocity profiles of the fluid in - the direction normal to the walls are extracted to highlight the effect of - confining a fluid on its local properties. - -.. container:: justify - - This tutorial illustrates some key aspects of - combining a fluid and a solid in the same simulation. - A major difference from :ref:`all-atoms-label` is that - here a rigid four-points water model named TIP4P is used :cite:`abascal2005general`. - TIP4P is one of the most common water models due to its high accuracy. +This tutorial illustrates some key aspects of +combining a fluid and a solid in the same simulation. +A major difference from :ref:`all-atoms-label` is that +here a rigid four-points water model named TIP4P is used :cite:`abascal2005general`. +TIP4P is one of the most common water models due to its high accuracy. .. include:: ../../non-tutorials/recommand-lj.rst @@ -43,19 +39,15 @@ Nanosheared electrolyte System preparation ================== -.. container:: justify - - The fluid and walls must first be generated and then equilibrated at a - reasonable temperature and pressure. +The fluid and walls must first be generated and then equilibrated at a +reasonable temperature and pressure. System generation ----------------- -.. container:: justify - - Create a new folder called *systemcreation/*. - Within *systemcreation/*, open a blank file - called *input.lammps*, and copy the following lines into it: +Create a new folder called *systemcreation/*. +Within *systemcreation/*, open a blank file +called *input.lammps*, and copy the following lines into it: .. code-block:: lammps @@ -68,37 +60,31 @@ System generation kspace_style pppm/tip4p 1.0e-4 kspace_modify slab 3.0 -.. container:: justify - - These lines are used to define the most basic parameters, - including the *atom*, *bond*, and *angle* styles, as well as - interaction potential. Here, *lj/cut/tip4p/long* imposes - a Lennard Jones potential with a cut-off at :math:`12\,\text{Å}` - and a long-range Coulomb potential. - -.. container:: justify - - So far, the commands are relatively similar to those in the previous tutorial, - :ref:`all-atoms-label`, - with two major differences: the use of *lj/cut/tip4p/long* - instead of *lj/cut/coul/long*, - and *pppm/tip4p* - instead of *pppm*. These two tip4p-specific commands allow us to model a four-point water - molecule without explicitly defining the fourth massless atom *M*. The value of - :math:`0.1546\,\text{Å}` corresponds to the *O-M* distance and is - imposed by the water model. Here, |TIP4P-2005| is used :cite:`abascal2005general`. +These lines are used to define the most basic parameters, +including the *atom*, *bond*, and *angle* styles, as well as +interaction potential. Here, *lj/cut/tip4p/long* imposes +a Lennard Jones potential with a cut-off at :math:`12\,\text{Å}` +and a long-range Coulomb potential. + +So far, the commands are relatively similar to those in the previous tutorial, +:ref:`all-atoms-label`, +with two major differences: the use of *lj/cut/tip4p/long* +instead of *lj/cut/coul/long*, +and *pppm/tip4p* +instead of *pppm*. These two tip4p-specific commands allow us to model a four-point water +molecule without explicitly defining the fourth massless atom *M*. The value of +:math:`0.1546\,\text{Å}` corresponds to the *O-M* distance and is +imposed by the water model. Here, |TIP4P-2005| is used :cite:`abascal2005general`. .. |TIP4P-2005| raw:: html TIP4P-2005 -.. container:: justify - - Another novelty, here, is the use of *kspace_modify slab 3.0* that is combined - with the non-periodic boundaries along the *z* coordinate: *boundary p p f*. - With the *slab* option, the system is treated as periodical along *z*, but with an - empty volume inserted between the periodic images of the slab, and the interactions - along *z* effectively turned off. +Another novelty, here, is the use of *kspace_modify slab 3.0* that is combined +with the non-periodic boundaries along the *z* coordinate: *boundary p p f*. +With the *slab* option, the system is treated as periodical along *z*, but with an +empty volume inserted between the periodic images of the slab, and the interactions +along *z* effectively turned off. .. admonition:: About lj/cut/tip4p/long pair style :class: info @@ -109,9 +95,7 @@ System generation will be type 1 (O) and 2 (H). All the other atoms in the simulation are treated *normally* with long-range Coulomb interaction. -.. container:: justify - - Let us create the box by adding the following lines to *input.lammps*: +Let us create the box by adding the following lines to *input.lammps*: .. code-block:: lammps @@ -124,41 +108,33 @@ System generation extra/angle/per/atom 1 & extra/special/per/atom 2 -.. container:: justify - - The *lattice* command defines the unit - cell. Here, the face-centered cubic (fcc) lattice with a scale factor of - 4.04 has been chosen for the future positioning of the atoms - of the walls. - -.. container:: justify - - The *region* command defines a geometric - region of space. By choosing *xlo=-3* and *xhi=3*, and - because we have previously chosen a lattice with a scale - factor of 4.04, the region box extends from -12.12 Å to 12.12 Å - along the x direction. - -.. container:: justify - - The *create_box* command creates a simulation box with 5 types of atoms: - the oxygen and hydrogen of the water molecules, - the two ions (:math:`\text{Na}^+`, - :math:`\text{Cl}^-`), and the - atom of the walls. The *create_box* command extends over 6 lines thanks to the - :math:`\&` character. The second and third lines are used to - indicate that the simulation contains 1 type of bond and 1 - type of angle (both required by the water molecule). The parameters for - these bond and angle constraints will be given later. The - three last lines are for memory allocation. - -.. container:: justify - - Now, we can add atoms to the system. First, let us create two - sub-regions corresponding respectively to the two solid - walls, and create a larger region from the union of the two - regions. Then, let us create atoms of type 5 (the wall) within the two - regions. Add the following lines to *input.lammps*: +The *lattice* command defines the unit +cell. Here, the face-centered cubic (fcc) lattice with a scale factor of +4.04 has been chosen for the future positioning of the atoms +of the walls. + +The *region* command defines a geometric +region of space. By choosing *xlo=-3* and *xhi=3*, and +because we have previously chosen a lattice with a scale +factor of 4.04, the region box extends from -12.12 Å to 12.12 Å +along the x direction. + +The *create_box* command creates a simulation box with 5 types of atoms: +the oxygen and hydrogen of the water molecules, +the two ions (:math:`\text{Na}^+`, +:math:`\text{Cl}^-`), and the +atom of the walls. The *create_box* command extends over 6 lines thanks to the +:math:`\&` character. The second and third lines are used to +indicate that the simulation contains 1 type of bond and 1 +type of angle (both required by the water molecule). The parameters for +these bond and angle constraints will be given later. The +three last lines are for memory allocation. + +Now, we can add atoms to the system. First, let us create two +sub-regions corresponding respectively to the two solid +walls, and create a larger region from the union of the two +regions. Then, let us create atoms of type 5 (the wall) within the two +regions. Add the following lines to *input.lammps*: .. code-block:: lammps @@ -167,26 +143,20 @@ System generation region rwall union 2 rbotwall rtopwall create_atoms 5 region rwall -.. container:: justify - - Atoms will be placed in the positions of the previously - defined lattice, thus forming fcc solids. - -.. container:: justify +Atoms will be placed in the positions of the previously +defined lattice, thus forming fcc solids. - In order to add the water molecules, first - download the |download_TIP4P2005.txt| - and place it within *systemcreation/*. The template contains all the - necessary information concerning the water molecule, such as - atom positions, bonds, and angles. +In order to add the water molecules, first +download the |download_TIP4P2005.txt| +and place it within *systemcreation/*. The template contains all the +necessary information concerning the water molecule, such as +atom positions, bonds, and angles. .. |download_TIP4P2005.txt| raw:: html molecule template -.. container:: justify - - Add the following lines to *input.lammps*: +Add the following lines to *input.lammps*: .. code-block:: lammps @@ -194,30 +164,21 @@ System generation molecule h2omol RigidH2O.txt create_atoms 0 region rliquid mol h2omol 482793 -.. container:: justify - - Within the last three lines, a *region* named *rliquid* is created based on the last defined lattice, *fcc 4.04*. - *rliquid* will be used for depositing the water molecules. - -.. container:: justify - - The *molecule* command opens up the molecule template named - *RigidH2O.txt*, and names the associated molecule *h2omol*. - -.. container:: justify +Within the last three lines, a *region* named *rliquid* is created based on the +last defined lattice, *fcc 4.04*. *rliquid* will be used for depositing the +water molecules. - The new molecules are placed on the *fcc 4.04* lattice - by the *create_atoms* command. The - first parameter is 0, meaning that the atom IDs from the - *RigidH2O.txt* file will be used. - The number *482793* is a seed that is - required by LAMMPS, it can be any positive integer. +The *molecule* command opens up the molecule template named +*RigidH2O.txt*, and names the associated molecule *h2omol*. -.. container:: justify +The new molecules are placed on the *fcc 4.04* lattice by the *create_atoms* +command. The first parameter is 0, meaning that the atom IDs from the +*RigidH2O.txt* file will be used. The number *482793* is a seed that is +required by LAMMPS, it can be any positive integer. - Finally, let us create 30 ions (15 :math:`\text{Na}^+` - and 15 :math:`\text{Cl}^-`) - in between the water molecules, by adding the following commands to *input.lammps*: +Finally, let us create 30 ions (15 :math:`\text{Na}^+` +and 15 :math:`\text{Cl}^-`) +in between the water molecules, by adding the following commands to *input.lammps*: .. code-block:: lammps @@ -226,39 +187,31 @@ System generation set type 3 charge 1 set type 4 charge -1 -.. container:: justify +Each *create_atoms* command will add 15 ions at random positions +within the *rliquid* region, ensuring that there is no *overlap* with existing +molecules. Feel free to increase or decrease the salt +concentration by changing the number of desired ions. To keep the system charge neutral, +always insert the same number of +:math:`\text{Na}^+` +and :math:`\text{Cl}^-`, +unless there are other charges in the system. - Each *create_atoms* command will add 15 ions at random positions - within the *rliquid* region, ensuring that there is no *overlap* with existing - molecules. Feel free to increase or decrease the salt - concentration by changing the number of desired ions. To keep the system charge neutral, - always insert the same number of - :math:`\text{Na}^+` - and :math:`\text{Cl}^-`, - unless there are other charges in the system. +The charges of the newly added ions are specified by the two *set* commands. -.. container:: justify - - The charges of the newly added ions are specified by the two *set* commands. - -.. container:: justify - - Before starting the simulation, we still need to define the parameters of the simulation: the mass - of the 5 atom types (O, H, :math:`\text{Na}^+`, :math:`\text{Cl}^-`, and wall), the - pairwise interaction parameters (here, the parameters for the - Lennard-Jones potential), and the bond and angle parameters. - Copy the following line into *input.lammps*: +Before starting the simulation, we still need to define the parameters of the simulation: the mass +of the 5 atom types (O, H, :math:`\text{Na}^+`, :math:`\text{Cl}^-`, and wall), the +pairwise interaction parameters (here, the parameters for the +Lennard-Jones potential), and the bond and angle parameters. +Copy the following line into *input.lammps*: .. code-block:: lammps include ../PARM.lammps include ../GROUP.lammps -.. container:: justify - - Create a new text file called *PARM.lammps* next to - the *systemcreation/* folder. Copy the following lines - into PARM.lammps: +Create a new text file called *PARM.lammps* next to +the *systemcreation/* folder. Copy the following lines +into PARM.lammps: .. code-block:: lammps @@ -275,12 +228,10 @@ System generation pair_coeff 5 5 11.697 2.574 # wall pair_coeff 1 5 0.4 2.86645 # water-wall -.. container:: justify - - Each *mass* command assigns a mass in grams/mole to an atom type. Each - *pair_coeff* assigns respectively the depth of the LJ potential - (in Kcal/mole), and the distance (in Ångstrom) at which the - particle-particle potential energy is 0. +Each *mass* command assigns a mass in grams/mole to an atom type. Each +*pair_coeff* assigns respectively the depth of the LJ potential +(in Kcal/mole), and the distance (in Ångstrom) at which the +particle-particle potential energy is 0. .. admonition:: About the parameters :class: info @@ -291,21 +242,19 @@ System generation for :math:`\text{Na}^+` and :math:`\text{Cl}^-` are from the CHARMM-27 force field :cite:`mackerell2000development`. -.. container:: justify - - As already seen in previous tutorials and with the important exception of - *pair_coeff 1 5*, only pairwise interactions between atoms of identical - types was assigned. By default, LAMMPS calculates the pair coefficients for - the interactions between atoms of different types (i and j) by using geometrical average: - :math:`\epsilon_{ij} = (\epsilon_{ii} + \epsilon_{jj})/2`, - :math:`\sigma_{ij} = (\sigma_{ii} + \sigma_{jj})/2.`. - If the default value of :math:`5.941\,\text{kcal/mol}` - was kept for :math:`\epsilon_\text{1-5}`, the solid walls would be extremely - hydrophilic, causing the water molecule to form dense layers. As a comparison, - the water-water energy :math:`\epsilon_\text{1-1}` is only - :math:`0.185199\,\text{kcal/mol}`. Therefore, the walls were made less - hydrophilic by reducing the value of :math:`\epsilon_\text{1-5}`. Copy the - following lines into PARM.lammps as well: +As already seen in previous tutorials and with the important exception of +*pair_coeff 1 5*, only pairwise interactions between atoms of identical +types was assigned. By default, LAMMPS calculates the pair coefficients for +the interactions between atoms of different types (i and j) by using geometrical average: +:math:`\epsilon_{ij} = (\epsilon_{ii} + \epsilon_{jj})/2`, +:math:`\sigma_{ij} = (\sigma_{ii} + \sigma_{jj})/2.`. +If the default value of :math:`5.941\,\text{kcal/mol}` +was kept for :math:`\epsilon_\text{1-5}`, the solid walls would be extremely +hydrophilic, causing the water molecule to form dense layers. As a comparison, +the water-water energy :math:`\epsilon_\text{1-1}` is only +:math:`0.185199\,\text{kcal/mol}`. Therefore, the walls were made less +hydrophilic by reducing the value of :math:`\epsilon_\text{1-5}`. Copy the +following lines into PARM.lammps as well: .. code-block:: lammps @@ -313,21 +262,17 @@ System generation angle_coeff 1 0 104.52 # water -.. container:: justify +The *bond_coeff* command, used here for the O-H bond of the water molecule, sets both +the spring constant of the harmonic potential and the equilibrium distance +of :math:`0.9572~\text{Å}`. The constant can be 0 for a rigid water molecule, +because the shape of the molecule will be preserved by the SHAKE algorithm +(see below) :cite:`ryckaert1977numerical, andersen1983rattle`. +Similarly, the angle coefficient for the H-O-H angle of the water +molecule sets the force constant of the angular harmonic potential to 0 and +the equilibrium angle to :math:`104.52^\circ`. - The *bond_coeff* command, used here for the O-H bond of the water molecule, sets both - the spring constant of the harmonic potential and the equilibrium distance - of :math:`0.9572~\text{Å}`. The constant can be 0 for a rigid water molecule, - because the shape of the molecule will be preserved by the SHAKE algorithm - (see below) :cite:`ryckaert1977numerical, andersen1983rattle`. - Similarly, the angle coefficient for the H-O-H angle of the water - molecule sets the force constant of the angular harmonic potential to 0 and - the equilibrium angle to :math:`104.52^\circ`. - -.. container:: justify - - Let us also create another file called *GROUP.lammps* next - to *PARM.lammps*, and copy the following lines into it: +Let us also create another file called *GROUP.lammps* next +to *PARM.lammps*, and copy the following lines into it: .. code-block:: lammps @@ -345,20 +290,16 @@ System generation group walltop intersect wall top group wallbot intersect wall bot -.. container:: justify - - As it is now, the fluid density within the two walls is too high. - To avoid high density and pressure, let us add the following lines - to *input.lammps* to delete about :math:`15~\%` - of the water molecules: +As it is now, the fluid density within the two walls is too high. +To avoid high density and pressure, let us add the following lines +to *input.lammps* to delete about :math:`15~\%` +of the water molecules: .. code-block:: lammps delete_atoms random fraction 0.15 yes H2O NULL 482793 mol yes -.. container:: justify - - Finally, add the following lines to *input.lammps*: +Finally, add the following lines to *input.lammps*: .. code-block:: lammps @@ -367,28 +308,20 @@ System generation write_data system.data nocoeff write_dump all atom dump.lammpstrj -.. container:: justify - - With *run 0*, the simulation will run for 0 steps, which is - enough for creating the system and saving the final state. - -.. container:: justify - - The *write_data* creates a file named *system.data* - containing all the information required to restart the - simulation from the final configuration generated by this - input file. With the *nocoeff* option, the parameters from the force field - are not written in the *.data* file. - -.. container:: justify +With *run 0*, the simulation will run for 0 steps, which is +enough for creating the system and saving the final state. - The *write_dump* command prints the final - positions of the atoms, and can be opened with VMD - to visualize the system. +The *write_data* creates a file named *system.data* +containing all the information required to restart the +simulation from the final configuration generated by this +input file. With the *nocoeff* option, the parameters from the force field +are not written in the *.data* file. -.. container:: justify +The *write_dump* command prints the final +positions of the atoms, and can be opened with VMD +to visualize the system. - Run the *input.lammps* file using LAMMPS. +Run the *input.lammps* file using LAMMPS. .. figure:: ../figures/level2/nanosheared-electrolyte/systemcreation-light.png :alt: LAMMPS: electrolyte made of water and salt between walls @@ -410,11 +343,9 @@ System generation video -.. container:: justify - - Always check that your system has been correctly created - by looking at the periodic images. Atomic defects may - occur at the boundary. +Always check that your system has been correctly created +by looking at the periodic images. Atomic defects may +occur at the boundary. Energy minimization ------------------- @@ -440,22 +371,18 @@ Energy minimization - delete the overlapping atoms using the *delete_atoms* command of LAMMPS, - move the atoms to more reasonable distances before the simulation starts using energy minimization, or using molecular dynamics with a small timestep. -.. container:: justify - - Let us move the atoms and place them - in more energetically favorable positions before starting the simulation. - Let us call this step *energy minimization*, although it is not - a conventional *minimization* as done for instance - in tutorial :ref:`lennard-jones-label`. Instead, a molecular dynamics simulation - will be performed here, with some techniques employed to prevent the system - from exploding due to overlapping atoms. - -.. container:: justify +Let us move the atoms and place them +in more energetically favorable positions before starting the simulation. +Let us call this step *energy minimization*, although it is not +a conventional *minimization* as done for instance +in tutorial :ref:`lennard-jones-label`. Instead, a molecular dynamics simulation +will be performed here, with some techniques employed to prevent the system +from exploding due to overlapping atoms. - To perform this energy minimization, let us - create a new folder named *minimization/* next to *systemcreation/*, - and create a new input file named *input.lammps* in it. Copy the following lines - in *input.lammps*: +To perform this energy minimization, let us +create a new folder named *minimization/* next to *systemcreation/*, +and create a new input file named *input.lammps* in it. Copy the following lines +in *input.lammps*: .. code-block:: lammps @@ -473,19 +400,15 @@ Energy minimization include ../PARM.lammps include ../GROUP.lammps -.. container:: justify - - The only difference from the previous input is that instead - of creating a new box and new atoms, we open the - previously created file *system.data* located in *systemcreation/*. - The file *system.data* contains the definition of the simulation box - and the positions of the atoms. - -.. container:: justify +The only difference from the previous input is that instead +of creating a new box and new atoms, we open the +previously created file *system.data* located in *systemcreation/*. +The file *system.data* contains the definition of the simulation box +and the positions of the atoms. - Now, let us create a first simulation step using a relatively small - timestep (:math:`0.5\,\text{fs}`) and a low temperature - of :math:`T = 1\,\text{K}`: +Now, let us create a first simulation step using a relatively small +timestep (:math:`0.5\,\text{fs}`) and a low temperature +of :math:`T = 1\,\text{K}`: .. code-block:: lammps @@ -494,47 +417,37 @@ Energy minimization fix myshk H2O shake 1.0e-4 200 0 b 1 a 1 timestep 0.5 -.. container:: justify +Just like *fix nve*, the *fix nve/limit* command performs constant NVE integration to +update the positions and velocities of the atoms at each +timestep. The difference is that *fix nve/limit* also limits the maximum +distance atoms can travel at each timestep. The chosen maximum distance in +:math:`0.1~\text{Å}`. Because the *fix nve/limit* is applied to the group *fluid*, +only the water molecules and ions will move. - Just like *fix nve*, the *fix nve/limit* command performs constant NVE integration to - update the positions and velocities of the atoms at each - timestep. The difference is that *fix nve/limit* also limits the maximum - distance atoms can travel at each timestep. The chosen maximum distance in - :math:`0.1~\text{Å}`. Because the *fix nve/limit* is applied to the group *fluid*, - only the water molecules and ions will move. +The *fix temp/berendsen* rescales the +velocities of the atoms to force the temperature of the system +to reach the desired value of :math:`1~\text{K}`, and the SHAKE algorithm +is used in order to maintain the shape of the water molecules. -.. container:: justify - - The *fix temp/berendsen* rescales the - velocities of the atoms to force the temperature of the system - to reach the desired value of :math:`1~\text{K}`, and the SHAKE algorithm - is used in order to maintain the shape of the water molecules. - -.. container:: justify - - Let us also print the atom positions in a *.lammpstrj* file - and control the printing of thermodynamic outputs by - adding the following lines to *input.lammps*: +Let us also print the atom positions in a *.lammpstrj* file +and control the printing of thermodynamic outputs by +adding the following lines to *input.lammps*: .. code-block:: lammps dump mydmp all atom 1000 dump.lammpstrj thermo 200 -.. container:: justify - - Finally, let us run for 4000 steps. Add the - following lines to *input.lammps*: +Finally, let us run for 4000 steps. Add the +following lines to *input.lammps*: .. code-block:: lammps run 4000 -.. container:: justify - - In order to better equilibrate the system, let us perform - two additional steps with a larger timestep and a higher - imposed temperature: +In order to better equilibrate the system, let us perform +two additional steps with a larger timestep and a higher +imposed temperature: .. code-block:: lammps @@ -550,18 +463,14 @@ Energy minimization write_data system.data nocoeff -.. container:: justify - - For the last of the three steps, fix *nve* is used instead of - *nve/limit*, which will allow for a better relaxation of the - atom positions. +For the last of the three steps, fix *nve* is used instead of +*nve/limit*, which will allow for a better relaxation of the +atom positions. -.. container:: justify - - When running the *input.lammps* file with LAMMPS, you should see that - the total energy of the system decreases during the first - of the 3 steps, before re-increasing a little after the - temperature is increased from 1 to :math:`300\,\text{K}`. +When running the *input.lammps* file with LAMMPS, you should see that +the total energy of the system decreases during the first +of the 3 steps, before re-increasing a little after the +temperature is increased from 1 to :math:`300\,\text{K}`. .. figure:: ../figures/level2/nanosheared-electrolyte/minimization.png :alt: Energy minimisation of the confined water and salt @@ -577,24 +486,18 @@ Energy minimization time :math:`t` extracted from the log file using *Python* and *lammps_logfile*. The vertical dashed lines demarcate the three consecutive steps. -.. container:: justify - - If you look at the trajectory using VMD, you will see that some of the atoms - are moving, particularly those that were initially in problematic positions. +If you look at the trajectory using VMD, you will see that some of the atoms +are moving, particularly those that were initially in problematic positions. System equilibration -------------------- -.. container:: justify +Let us equilibrate further the entire system by letting both +fluid and piston relax at ambient temperature. - Let us equilibrate further the entire system by letting both - fluid and piston relax at ambient temperature. - -.. container:: justify - - Create a new folder called *equilibration/* next to - the previously created folders, and create a new - *input.lammps* file in it. Add the following lines to *input.lammps*: +Create a new folder called *equilibration/* next to +the previously created folders, and create a new +*input.lammps* file in it. Add the following lines to *input.lammps*: .. code-block:: lammps @@ -618,16 +521,12 @@ System equilibration fix myrct all recenter NULL NULL 0 timestep 1.0 -.. container:: justify - - The fix *recenter* has no influence on the dynamics, but will - keep the system in the center of the box, which makes the - visualization easier. - -.. container:: justify +The fix *recenter* has no influence on the dynamics, but will +keep the system in the center of the box, which makes the +visualization easier. - Then, add the following lines to *input.lammps* for - the trajectory visualization and output: +Then, add the following lines to *input.lammps* for +the trajectory visualization and output: .. code-block:: lammps @@ -638,32 +537,23 @@ System equilibration variable deltaz equal v_walltopz-v_wallbotz fix myat1 all ave/time 100 1 100 v_deltaz file interwall_distance.dat -.. container:: justify +The first two variables extract the centers of mass of +the two walls. Then, the *deltaz* +variable is used to calculate the distance between +the two variables *walltopz* +and *wallbotz*, i.e. the distance between the two walls. - The first two variables extract the centers of mass of - the two walls. Then, the *deltaz* - variable is used to calculate the distance between - the two variables *walltopz* - and *wallbotz*, i.e. the distance between the two walls. - -.. container:: justify - - Finally, let us add the *run* command: +Finally, let us add the *run* command: .. code-block:: lammps run 30000 write_data system.data nocoeff -.. container:: justify - - Run the *input.lammps* file using LAMMPS. +Run the *input.lammps* file using LAMMPS. -.. container:: justify - - As seen from the data printed by *fix myat1*, - the distance between the two walls - reduces until it reaches an equilibrium value. +As seen from the data printed by *fix myat1*, the distance between the two walls +reduces until it reaches an equilibrium value. .. figure:: ../figures/level2/nanosheared-electrolyte/equilibration.png :alt: Plot showing the distance between the walls as a function of time. @@ -678,25 +568,21 @@ System equilibration Figure: Distance between the walls as a function of time. After a few picoseconds, the distance between the two walls equilibrates near its final value. - -.. container:: justify - Note that it is generally recommended to run longer equilibration. - Here, for instance, the slowest - process in the system is probably the ionic diffusion. Therefore, the equilibration - should in principle be longer than the time - the ions need to diffuse over the size of the pore - (:math:`\approx 1.2\,\text{nm}`), i.e. on the order of half a nanosecond. +Note that it is generally recommended to run longer equilibration. +Here, for instance, the slowest +process in the system is probably the ionic diffusion. Therefore, the equilibration +should in principle be longer than the time +the ions need to diffuse over the size of the pore +(:math:`\approx 1.2\,\text{nm}`), i.e. on the order of half a nanosecond. Imposed shearing ================ -.. container:: justify - - From the equilibrated configuration, let us impose a lateral - motion to the two walls and shear the electrolyte. - In a new folder called *shearing/*, - create a new *input.lammps* file that starts like the previous ones: +From the equilibrated configuration, let us impose a lateral +motion to the two walls and shear the electrolyte. +In a new folder called *shearing/*, +create a new *input.lammps* file that starts like the previous ones: .. code-block:: lammps @@ -709,11 +595,9 @@ Imposed shearing kspace_style pppm/tip4p 1.0e-4 kspace_modify slab 3.0 -.. container:: justify - - Let us import the previously equilibrated data, - include the parameter and group files, - and then deal with the dynamics of the system. +Let us import the previously equilibrated data, +include the parameter and group files, +and then deal with the dynamics of the system. .. code-block:: lammps @@ -732,25 +616,19 @@ Imposed shearing fix myshk H2O shake 1.0e-4 200 0 b 1 a 1 fix myrct all recenter NULL NULL 0 -.. container:: justify - - One difference with the previous input is that, here, two thermostats are used, - one for the fluid (*myber1*) and one - for the solid (*myber2*). The use of *fix_modify* together - with *compute temp* ensures that the right temperature value - is used by the thermostats. +One difference with the previous input is that, here, two thermostats are used, +one for the fluid (*myber1*) and one +for the solid (*myber2*). The use of *fix_modify* together +with *compute temp* ensures that the right temperature value +is used by the thermostats. -.. container:: justify +The use of temperature *compute* with *temp/partial 0 1 1* +is meant to exclude the *x* coordinate from the +thermalization, which is important since a large velocity +will be imposed along *x*. - The use of temperature *compute* with *temp/partial 0 1 1* - is meant to exclude the *x* coordinate from the - thermalization, which is important since a large velocity - will be imposed along *x*. - -.. container:: justify - - Then, let us impose the velocity of the two walls - by adding the following commands to *input.lammps*: +Then, let us impose the velocity of the two walls +by adding the following commands to *input.lammps*: .. code-block:: lammps @@ -759,25 +637,19 @@ Imposed shearing velocity wallbot set -2e-4 NULL NULL velocity walltop set 2e-4 NULL NULL -.. container:: justify - - The *setforce* commands cancel the forces on *walltop* and - *wallbot*, respectively. Therefore the atoms of the two groups do not - experience any force from the rest of the system. In the absence of force - acting on those atoms, they will conserve their initial velocity. +The *setforce* commands cancel the forces on *walltop* and +*wallbot*, respectively. Therefore the atoms of the two groups do not +experience any force from the rest of the system. In the absence of force +acting on those atoms, they will conserve their initial velocity. -.. container:: justify +The *velocity* commands act only once and impose +the velocity of the atoms of the groups *wallbot* +and *walltop*, respectively. - The *velocity* commands act only once and impose - the velocity of the atoms of the groups *wallbot* - and *walltop*, respectively. - -.. container:: justify - - Finally, let us dump the atom positions, extract the - velocity profiles using several *ave/chunk* commands, extract the - force applied on the walls, and then run for :math:`200\,\text{ps}` - Add the following lines to *input.lammps*: +Finally, let us dump the atom positions, extract the +velocity profiles using several *ave/chunk* commands, extract the +force applied on the walls, and then run for :math:`200\,\text{ps}` +Add the following lines to *input.lammps*: .. code-block:: lammps @@ -802,17 +674,13 @@ Imposed shearing run 200000 write_data system.data nocoeff -.. container:: justify - - Here, a binning of :math:`1\,\text{Å}` is used for the density profiles - generated by the *ave/chunk* commands. For smoother profiles, you can - reduce its value. - -.. container:: justify +Here, a binning of :math:`1\,\text{Å}` is used for the density profiles +generated by the *ave/chunk* commands. For smoother profiles, you can +reduce its value. - The averaged velocity profile of the fluid - can be plotted. As expected for such Couette flow geometry, the velocity - of the fluid is found to increase linearly along :math:`z`. +The averaged velocity profile of the fluid +can be plotted. As expected for such Couette flow geometry, the velocity +of the fluid is found to increase linearly along :math:`z`. .. figure:: ../figures/level2/nanosheared-electrolyte/shearing.png :alt: Velocity of the nanosheared fluid @@ -841,39 +709,33 @@ Imposed shearing Figure: Water density :math:`\rho` profile along the *z* axis. -.. container:: justify - - From the force applied by the fluid on the solid, one can - extract the stress within the fluid, which allows for the measurement of - its viscosity :math:`\dot{\eta}` - according to |reference_gravelle2021|: - :math:`\eta = \tau / \dot{\gamma}` where :math:`\tau` - is the stress applied by the fluid on the shearing wall, and - :math:`\dot{\gamma}` the shear rate (which is imposed - here) :cite:`gravelle2021violations`. Here, the shear rate - is approximatively :math:`\dot{\gamma} = 16 \cdot 10^9\,\text{s}^{-1}`, - and using a surface area of :math:`A = 6 \cdot 10^{-18}\,\text{m}^2`, one - gets an estimate for the shear viscosity for the confined - fluid of :math:`\eta = 6.6\,\text{mPa.s}`. +From the force applied by the fluid on the solid, one can +extract the stress within the fluid, which allows for the measurement of +its viscosity :math:`\dot{\eta}` +according to |reference_gravelle2021|: +:math:`\eta = \tau / \dot{\gamma}` where :math:`\tau` +is the stress applied by the fluid on the shearing wall, and +:math:`\dot{\gamma}` the shear rate (which is imposed +here) :cite:`gravelle2021violations`. Here, the shear rate +is approximatively :math:`\dot{\gamma} = 16 \cdot 10^9\,\text{s}^{-1}`, +and using a surface area of :math:`A = 6 \cdot 10^{-18}\,\text{m}^2`, one +gets an estimate for the shear viscosity for the confined +fluid of :math:`\eta = 6.6\,\text{mPa.s}`. .. |reference_gravelle2021| raw:: html gravelle2021 -.. container:: justify +The viscosity calculated at such a high shear rate may +differ from the expected *bulk* value. In general, it is recommended to use a lower +value for the shear rate. Note that for lower shear rates, the ratio of noise-to-signal +is larger, and longer simulations are needed. - The viscosity calculated at such a high shear rate may - differ from the expected *bulk* value. In general, it is recommended to use a lower - value for the shear rate. Note that for lower shear rates, the ratio of noise-to-signal - is larger, and longer simulations are needed. - -.. container:: justify - - Another important point to keep in mind is that the viscosity of a fluid - next to a solid surface is typically larger than in bulk due to interaction with the - walls :cite:`wolde-kidanInterplayInterfacialViscosity2021`. Therefore, one expects the present simulation to return - a viscosity that is slightly larger than what would - be measured in the absence of a wall. +Another important point to keep in mind is that the viscosity of a fluid +next to a solid surface is typically larger than in bulk due to interaction with the +walls :cite:`wolde-kidanInterplayInterfacialViscosity2021`. Therefore, one expects the present simulation to return +a viscosity that is slightly larger than what would +be measured in the absence of a wall. .. include:: ../../non-tutorials/accessfile.rst @@ -885,20 +747,16 @@ Going further with exercises Induce a Poiseuille flow ------------------------ -.. container:: justify +Instead of inducing a shearing of the fluid using the walls, +induce a net flux of the liquid in the direction tangential +to the walls. The walls must be kept immobile. - Instead of inducing a shearing of the fluid using the walls, - induce a net flux of the liquid in the direction tangential - to the walls. The walls must be kept immobile. - -.. container:: justify - - Extract the velocity profile, and make sure that the - resulting velocity profile is consistent with the Poiseuille equation, - which can be derived from the Stokes equation :math:`\eta \nabla \textbf{v} = - \textbf{f} \rho` - where :math:`f` is the applied force, - :math:`\rho` is the fluid density, - :math:`\eta` is the fluid viscosity. +Extract the velocity profile, and make sure that the +resulting velocity profile is consistent with the Poiseuille equation, +which can be derived from the Stokes equation :math:`\eta \nabla \textbf{v} = - \textbf{f} \rho` +where :math:`f` is the applied force, +:math:`\rho` is the fluid density, +:math:`\eta` is the fluid viscosity. .. figure:: ../figures/level2/nanosheared-electrolyte/shearing-poiseuille-light.png :alt: Velocity of the fluid forming a Poiseuille flow @@ -913,6 +771,4 @@ Induce a Poiseuille flow Figure: Velocity profiles of the water molecules along the *z* axis (disks). The line is the Poiseuille equation. -.. container:: justify - - An important step is to choose the proper value for the additional force. \ No newline at end of file +An important step is to choose the proper value for the additional force. \ No newline at end of file From ea482f1073afd4f8c1071b5a22196ca1c5ee03fd Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Sat, 10 Aug 2024 11:51:50 +0200 Subject: [PATCH 05/51] removed justify in tutorial 5, 6, 7 --- .../level3/free-energy-calculation.rst | 539 +++++++---------- .../level3/reactive-silicon-dioxide.rst | 359 +++++------- .../level3/water-adsorption-in-silica.rst | 542 +++++++----------- 3 files changed, 561 insertions(+), 879 deletions(-) diff --git a/docs/sphinx/source/tutorials/level3/free-energy-calculation.rst b/docs/sphinx/source/tutorials/level3/free-energy-calculation.rst index 7c3eefd3..eb8cda02 100644 --- a/docs/sphinx/source/tutorials/level3/free-energy-calculation.rst +++ b/docs/sphinx/source/tutorials/level3/free-energy-calculation.rst @@ -19,22 +19,18 @@ Free energy calculation :class: only-dark :align: right -.. container:: justify - - The objective of this tutorial is to measure a free - energy profile of particles across a barrier potential - using two methods: free sampling - and umbrella sampling :cite:`kastner2011umbrella, allen2017computer, frenkel2023understanding`. - -.. container:: justify - - For simplicity and to reduce computation time, the barrier potential will - be imposed on the atoms with an additional force, mimicking the presence of - a repulsive area in the middle of the simulation box without the need to - simulate extra atoms. The procedure is valid for more complex systems and - can be adapted to many other situations, such as measuring the adsorption - barrier near an interface, or for calculating a translocation - barrier through a membrane :cite:`wilson1997adsorption, makarov2009computer, gravelle2021adsorption`. +The objective of this tutorial is to measure a free +energy profile of particles across a barrier potential +using two methods: free sampling +and umbrella sampling :cite:`kastner2011umbrella, allen2017computer, frenkel2023understanding`. + +For simplicity and to reduce computation time, the barrier potential will +be imposed on the atoms with an additional force, mimicking the presence of +a repulsive area in the middle of the simulation box without the need to +simulate extra atoms. The procedure is valid for more complex systems and +can be adapted to many other situations, such as measuring the adsorption +barrier near an interface, or for calculating a translocation +barrier through a membrane :cite:`wilson1997adsorption, makarov2009computer, gravelle2021adsorption`. .. include:: ../../non-tutorials/recommand-lj.rst @@ -55,36 +51,30 @@ Free energy calculation Method 1: Free sampling ======================= -.. container:: justify - - The most direct way to calculate a free energy profile is to extract - the partition function from a classic (i.e., unbiased) molecular - dynamics simulation, and then estimate the Gibbs free - energy using +The most direct way to calculate a free energy profile is to extract +the partition function from a classic (i.e., unbiased) molecular +dynamics simulation, and then estimate the Gibbs free +energy using .. math:: \Delta G = -RT \ln(p/p_0), - -.. container:: justify - - where :math:`\Delta G` is the free energy difference, - :math:`R` is the gas constant, - :math:`T` is the temperature, - :math:`p` is the pressure, - and :math:`p_0` is a reference pressure. - As an illustration, let us apply this method to an - extremely simple configuration that consists of a few - particles diffusing in a box in the presence of a position-dependent repelling - force that makes the center of the box a relatively unfavorable area to explore. + +where :math:`\Delta G` is the free energy difference, +:math:`R` is the gas constant, +:math:`T` is the temperature, +:math:`p` is the pressure, +and :math:`p_0` is a reference pressure. +As an illustration, let us apply this method to an +extremely simple configuration that consists of a few +particles diffusing in a box in the presence of a position-dependent repelling +force that makes the center of the box a relatively unfavorable area to explore. Basic LAMMPS parameters ----------------------- -.. container:: justify - - Create a folder named *FreeSampling/*, and create an input script - named *input.lammps* in it. Copy the following lines into it: +Create a folder named *FreeSampling/*, and create an input script +named *input.lammps* in it. Copy the following lines into it: .. code-block:: lammps @@ -100,43 +90,35 @@ Basic LAMMPS parameters pair_modify shift yes boundary p p p -.. container:: justify - - Here, we start by defining variables for the Lennard-Jones - interaction :math:`\sigma` and :math:`\epsilon` and for - the repulsive potential :math:`U (x)`: :math:`U_0`, :math:`\delta`, and :math:`x_0`, - see the analytical expression below. With :math:`U_0 = 1.5 \epsilon = 0.36\,\text{kcal/mol}`, - :math:`U_0` is of the same order as the thermal energy :math:`k_\text{B} T = 0.24,\text{kcal/mol}`, - where :math:`k_\text{B} = 0.002\,\text{kcal/mol/K}` is the Boltzmann constant - and :math:`T = 119.8\,\text{K}` (see below). In this case, particles are expected - to regularly overcome the energy barrier thanks to the thermal agitation. - -.. container:: justify - - The value of 3.822 for the cut-off was chosen to - create a WCA, purely repulsive, potential :cite:`weeks1971role`. It was calculated - as :math:`2^{1/6} \times 3.405` where - :math:`3.405 = \sigma`. - -.. container:: justify - - The system of unit *real*, for which energy is in kcal/mol, distance in Ångstrom, - or time in femtosecond, has been chosen for practical reasons: - the WHAM algorithm used in the second - part of the tutorial automatically assumes the energy to - be in kcal/mol. Atoms will interact through a - Lennard-Jones potential with a cut-off equal to - :math:`\sigma \times 2 ^ {1/6}` (i.e. a WCA repulsive - potential). The potential is shifted to be equal to 0 at - the cut-off using the *pair_modify*. +Here, we start by defining variables for the Lennard-Jones +interaction :math:`\sigma` and :math:`\epsilon` and for +the repulsive potential :math:`U (x)`: :math:`U_0`, :math:`\delta`, and :math:`x_0`, +see the analytical expression below. With :math:`U_0 = 1.5 \epsilon = 0.36\,\text{kcal/mol}`, +:math:`U_0` is of the same order as the thermal energy :math:`k_\text{B} T = 0.24,\text{kcal/mol}`, +where :math:`k_\text{B} = 0.002\,\text{kcal/mol/K}` is the Boltzmann constant +and :math:`T = 119.8\,\text{K}` (see below). In this case, particles are expected +to regularly overcome the energy barrier thanks to the thermal agitation. + +The value of 3.822 for the cut-off was chosen to +create a WCA, purely repulsive, potential :cite:`weeks1971role`. It was calculated +as :math:`2^{1/6} \times 3.405` where +:math:`3.405 = \sigma`. + +The system of unit *real*, for which energy is in kcal/mol, distance in Ångstrom, +or time in femtosecond, has been chosen for practical reasons: +the WHAM algorithm used in the second +part of the tutorial automatically assumes the energy to +be in kcal/mol. Atoms will interact through a +Lennard-Jones potential with a cut-off equal to +:math:`\sigma \times 2 ^ {1/6}` (i.e. a WCA repulsive +potential). The potential is shifted to be equal to 0 at +the cut-off using the *pair_modify*. System creation and settings ---------------------------- -.. container:: justify - - Let us define the simulation block and randomly add atoms - by adding the following lines into *input.lammps*: +Let us define the simulation block and randomly add atoms +by adding the following lines into *input.lammps*: .. code-block:: lammps @@ -147,38 +129,29 @@ System creation and settings mass * 39.95 pair_coeff * * ${epsilon} ${sigma} neigh_modify every 1 delay 4 check yes - -.. container:: justify - The values for the Lennard-Jones parameters (:math:`\sigma` - and :math:`\epsilon`) and - the mass (:math:`m = 39.95`) are typical of argon. +The values for the Lennard-Jones parameters (:math:`\sigma` +and :math:`\epsilon`) and +the mass (:math:`m = 39.95`) are typical of argon. -.. container:: justify - - The variables :math:`U_0`, - :math:`\delta`, - and :math:`x_0` defined in the previous subsection are used here to create - the repulsive potential, restricting the atoms from exploring the center of the box: +The variables :math:`U_0`, +:math:`\delta`, +and :math:`x_0` defined in the previous subsection are used here to create +the repulsive potential, restricting the atoms from exploring the center of the box: .. math:: U(x) = U_0 \left[ \arctan \left( \dfrac{x+x_0}{\delta} \right) - \arctan \left(\dfrac{x-x_0}{\delta} \right) \right]. - -.. container:: justify - From the derivative of the - potential with respect to :math:`x`, we obtain the expression - for the force that will be imposed on the atoms: +From the derivative of the +potential with respect to :math:`x`, we obtain the expression +for the force that will be imposed on the atoms: .. math:: F(x)= \dfrac{U_0}{\delta} \left[ \dfrac{1}{(x-x_0)^2/\delta^2+1} - \dfrac{1}{(x+x_0)^2/\delta^2+1} \right]. -.. container:: justify - - The potential and force along the :math:`x` - axis resembles: +The potential and force along the :math:`x` axis resembles: .. figure:: ../figures/level3/free-energy-calculation/potential.png :alt: Imposed potential @@ -194,12 +167,10 @@ System creation and settings **Energy minimization and equilibration** -.. container:: justify - - Let us apply energy minimization to the system, - and then impose the force :math:`F(x)` to all of - the atoms in the simulation using the *addforce* command. - Add the following lines to *input.lammps*: +Let us apply energy minimization to the system, +and then impose the force :math:`F(x)` to all of +the atoms in the simulation using the *addforce* command. +Add the following lines to *input.lammps*: .. code-block:: lammps @@ -212,22 +183,18 @@ System creation and settings -${U0}/((x+${x0})^2/${dlt}^2+1)/${dlt} fix myadf all addforce v_F 0.0 0.0 energy v_U -.. container:: justify - - Finally, let us combine the *fix nve* with a *Langevin* - thermostat and run a molecular dynamics simulation. With - these two commands, the MD simulation is effectively in the - NVT ensemble: constant number of atoms :math:`N`, constant - volume :math:`V`, and constant temperature :math:`T`. Let us - perform an equilibration of 500000 steps in total, - using a timestep of :math:`2\,\text{fs}` - (i.e. a total duration of :math:`1\,\text{ns}`). - -.. container:: justify +Finally, let us combine the *fix nve* with a *Langevin* +thermostat and run a molecular dynamics simulation. With +these two commands, the MD simulation is effectively in the +NVT ensemble: constant number of atoms :math:`N`, constant +volume :math:`V`, and constant temperature :math:`T`. Let us +perform an equilibration of 500000 steps in total, +using a timestep of :math:`2\,\text{fs}` +(i.e. a total duration of :math:`1\,\text{ns}`). - To make sure that :math:`1\,\text{ns}` is long enough, we will - record the evolution of the number of atoms in the central - (energetically unfavorable) region called *mymes*: +To make sure that :math:`1\,\text{ns}` is long enough, we will +record the evolution of the number of atoms in the central +(energetically unfavorable) region called *mymes*: .. code-block:: lammps @@ -245,14 +212,12 @@ System creation and settings Run and data acquisition ------------------------ -.. container:: justify - - Finally, let us record the density profile of the atoms - along the :math:`x` axis using the *ave/chunk* command. - A total of 10 density profiles will be printed. The step count is - reset to 0 to synchronize with the output times of - *fix density/number*, and the *fix myat* is canceled (it has to be - canceled before a reset time): +Finally, let us record the density profile of the atoms +along the :math:`x` axis using the *ave/chunk* command. +A total of 10 density profiles will be printed. The step count is +reset to 0 to synchronize with the output times of +*fix density/number*, and the *fix myat* is canceled (it has to be +canceled before a reset time): .. code-block:: lammps @@ -268,11 +233,9 @@ Run and data acquisition thermo 100000 run 4000000 -.. container:: justify - - This simulation with a total duration of :math:`9\,\text{ns}` needs a few - minutes to complete. Feel free to increase the - duration of the last run for smoother results. +This simulation with a total duration of :math:`9\,\text{ns}` needs a few +minutes to complete. Feel free to increase the +duration of the last run for smoother results. .. figure:: ../figures/level3/free-energy-calculation/system-light.png :alt: Lennard jones atoms simulated with LAMMPS MD code @@ -290,10 +253,8 @@ Run and data acquisition Data analysis -------------- -.. container:: justify - - First, let us ensure that the initial equilibration of :math:`1\,\text{ns}` - is long enough by examining the *density_evolution.dat* file. +First, let us ensure that the initial equilibration of :math:`1\,\text{ns}` +is long enough by examining the *density_evolution.dat* file. .. figure:: ../figures/level3/free-energy-calculation/density_evolution.png :alt: Number of particles in the central region as a function of time @@ -307,17 +268,13 @@ Data analysis Figure: Evolution of the number of atoms in the central region during equilibration. -.. container:: justify - - Here, we can see that the number of atoms in the - central region, :math:`n_\mathrm{central}`, evolves near its - equilibrium value (which is close to 0) after about :math:`0.1\,\text{ns}`. +Here, we can see that the number of atoms in the +central region, :math:`n_\mathrm{central}`, evolves near its +equilibrium value (which is close to 0) after about :math:`0.1\,\text{ns}`. -.. container:: justify - - One can also look at the density profile, which shows that the density in the - center of the box is about two orders of magnitude lower than inside - the reservoir. +One can also look at the density profile, which shows that the density in the +center of the box is about two orders of magnitude lower than inside +the reservoir. .. figure:: ../figures/level3/free-energy-calculation/density_profile.png :alt: Averaged density profile @@ -332,10 +289,8 @@ Data analysis Figure: Fluid density :math:`\rho` along the :math:`x` direction in the presence of a repulsive potential with :math:`U_0 = 1.5 \epsilon`. The reference density is :math:`\rho_\text{bulk} = 0.0033~\text{Å}^{-3}`. -.. container:: justify - - Then, let us plot :math:`-R T \ln(\rho/\rho_\mathrm{bulk})` and compare it - with the imposed (reference) potential :math:`U`. +Then, let us plot :math:`-R T \ln(\rho/\rho_\mathrm{bulk})` and compare it +with the imposed (reference) potential :math:`U`. .. figure:: ../figures/level3/free-energy-calculation/freesampling-potential-light.png :alt: Averaged density profile @@ -351,24 +306,20 @@ Data analysis compared to the imposed potential with :math:`U_0 = 1.5 \epsilon`. The calculated potential is in blue. -.. container:: justify - - The agreement with the expected energy profile is reasonable, - despite some noise in the central part (where fewer data points are - available due to the repulsive potential). +The agreement with the expected energy profile is reasonable, +despite some noise in the central part (where fewer data points are +available due to the repulsive potential). The limits of free sampling --------------------------- -.. container:: justify - - If we increase the value of :math:`U_0`, the average number of atoms in the central - region will decrease, making it difficult to obtain a good resolution for the - free energy profile. For instance, when we run the same simulation using - :math:`U_0 = 10 \epsilon`, which corresponds to a situation - where :math:`U_0 \approx 10 k_\text{B} T`, not a single atom explores the central - part of the simulation box during the 8 ns of simulation. In this case, using - an enhanced sampling method is preferred; see the next section. +If we increase the value of :math:`U_0`, the average number of atoms in the central +region will decrease, making it difficult to obtain a good resolution for the +free energy profile. For instance, when we run the same simulation using +:math:`U_0 = 10 \epsilon`, which corresponds to a situation +where :math:`U_0 \approx 10 k_\text{B} T`, not a single atom explores the central +part of the simulation box during the 8 ns of simulation. In this case, using +an enhanced sampling method is preferred; see the next section. .. figure:: ../figures/level3/free-energy-calculation/density_profile_large_potential-light.png :alt: Averaged density profile with large potential @@ -383,35 +334,27 @@ The limits of free sampling Figure: Fluid density :math:`\rho` along the :math:`x` direction in the presence of a repulsive potential with :math:`U_0 = 10 \epsilon`. -.. container:: justify - - In that case, it is better to use the umbrella sampling method - to extract free energy profiles, see the next section. +In that case, it is better to use the umbrella sampling method +to extract free energy profiles, see the next section. Method 2: Umbrella sampling =========================== -.. container:: justify - - Umbrella sampling is a biased molecular dynamics method in which additional forces are added to a chosen atom to - force it to explore the entire space, including the more unfavorable areas of - the system :cite:`kastner2011umbrella, allen2017computer, frenkel2023understanding`. - -.. container:: justify +Umbrella sampling is a biased molecular dynamics method in which additional forces are added to a chosen atom to +force it to explore the entire space, including the more unfavorable areas of +the system :cite:`kastner2011umbrella, allen2017computer, frenkel2023understanding`. - To encourage one of the atoms to explore the central region of the box, we apply a potential :math:`V` and force it to move - along the :math:`x`-axis. The chosen path is called the axis of reaction. Several simulations (or windows) will be conducted - with varying parameters for the applied biasing. The results will be analyzed using the weighted histogram analysis - method (WHAM) :cite:`kumar1992weighted`, which allows for the removal of the biasing effect and ultimately deduces - the unbiased free energy profile. +To encourage one of the atoms to explore the central region of the box, we apply a potential :math:`V` and force it to move +along the :math:`x`-axis. The chosen path is called the axis of reaction. Several simulations (or windows) will be conducted +with varying parameters for the applied biasing. The results will be analyzed using the weighted histogram analysis +method (WHAM) :cite:`kumar1992weighted`, which allows for the removal of the biasing effect and ultimately deduces +the unbiased free energy profile. LAMMPS input script ------------------- -.. container:: justify - - Create a new folder called *BiasedSampling/*, and create a new input file - named *input.lammps* in it. Copy the following lines into *input.lammps*: +Create a new folder called *BiasedSampling/*, and create a new input file +named *input.lammps* in it. Copy the following lines into *input.lammps*: .. code-block:: lammps @@ -456,18 +399,14 @@ LAMMPS input script dump mydmp all atom 1000000 dump.lammpstrj -.. container:: justify - - So far, this code resembles that of Method 1, - except for the additional particle of type 2. Particles of type 1 and 2 - are identical, having the same mass and Lennard-Jones parameters. However, - the particle of type 2 will additionally be exposed to the biasing potential :math:`V`. +So far, this code resembles that of Method 1, +except for the additional particle of type 2. Particles of type 1 and 2 +are identical, having the same mass and Lennard-Jones parameters. However, +the particle of type 2 will additionally be exposed to the biasing potential :math:`V`. -.. container:: justify - - Let us create a loop with 50 steps, and move progressively - the center of the bias potential by an increment of 0.1 nm. - Add the following lines to *input.lammps*: +Let us create a loop with 50 steps, and move progressively +the center of the bias potential by an increment of 0.1 nm. +Add the following lines to *input.lammps*: .. code-block:: lammps @@ -484,40 +423,30 @@ LAMMPS input script next a jump SELF loop -.. container:: justify - - A folder named *data-k1.5/* needs to be created within *BiasedSampling/*. +A folder named *data-k1.5/* needs to be created within *BiasedSampling/*. -.. container:: justify +The spring command serves to impose the +additional harmonic potential with the spring constant :math:`k`. +Note that the value of :math:`k` should be chosen with care, +if :math:`k` is too small, the particle won't follow the biasing potential +center, if :math:`k` is too large, there will be no overlapping between the +different windows. See the side note named *on the choice of k* below. - The spring command serves to impose the - additional harmonic potential with the spring constant :math:`k`. - Note that the value of :math:`k` should be chosen with care, - if :math:`k` is too small, the particle won't follow the biasing potential - center, if :math:`k` is too large, there will be no overlapping between the - different windows. See the side note named *on the choice of k* below. - -.. container:: justify - - The center of the harmonic potential :math:`x_\text{des}` - successively takes values from -25 to 25. For each value of - :math:`x_\text{des}`, an equilibration step of 0.4 ns is - performed, followed by a step of 2 ns during which the - position along :math:`x` of the particle is saved in data - files (one data file per value of :math:`x_\text{des}`). You - can always increase the duration of the runs for better samplings. +The center of the harmonic potential :math:`x_\text{des}` +successively takes values from -25 to 25. For each value of +:math:`x_\text{des}`, an equilibration step of 0.4 ns is +performed, followed by a step of 2 ns during which the +position along :math:`x` of the particle is saved in data +files (one data file per value of :math:`x_\text{des}`). You +can always increase the duration of the runs for better samplings. WHAM algorithm -------------- -.. container:: justify - - To generate the free energy profile from the density distribution, - let us use the WHAM algorithm as implemented by Alan Grossfield :cite:`grossfieldimplementation`. - -.. container:: justify +To generate the free energy profile from the density distribution, +let us use the WHAM algorithm as implemented by Alan Grossfield :cite:`grossfieldimplementation`. - You can download it from |Grossfield| website, and compile it using: +You can download it from |Grossfield| website, and compile it using: .. |Grossfield| raw:: html @@ -529,12 +458,10 @@ WHAM algorithm make clean make -.. container:: justify - - The compilation creates an executable called *wham* that you can - copy in the *BiasedSampling/* folder. Alternatively, use - the |wham-version| I have downloaded, or try your luck with the version - I precompiled: |wham-precompiled|. +The compilation creates an executable called *wham* that you can +copy in the *BiasedSampling/* folder. Alternatively, use +the |wham-version| I have downloaded, or try your luck with the version +I precompiled: |wham-precompiled|. .. |wham-version| raw:: html @@ -544,22 +471,16 @@ WHAM algorithm precompiled wham -.. container:: justify - - In order to apply the WHAM algorithm to our simulation, we - first need to create a metadata file. This file simply - contains - -.. container:: justify +In order to apply the WHAM algorithm to our simulation, we +first need to create a metadata file. This file simply +contains - - the paths to all the data files, - - the value of :math:`x_\text{des}`, - - and the values of :math:`k`. - -.. container:: justify +- the paths to all the data files, +- the value of :math:`x_\text{des}`, +- and the values of :math:`k`. - To generate the *metadata.txt* file, you can run this Python script - from the *BiasedSampling/* folder: +To generate the *metadata.txt* file, you can run this Python script +from the *BiasedSampling/* folder: .. code-block:: python @@ -582,10 +503,8 @@ WHAM algorithm f.write(datafile+' '+str(imposed_position)+' '+str(k)+'\n') f.close() -.. container:: justify - - Here, :math:`k` is in kcal/mol. - The generated file named *metadata.dat* looks like this: +Here, :math:`k` is in kcal/mol. The generated file named *metadata.dat* looks +like this: .. code-block:: bash @@ -597,10 +516,8 @@ WHAM algorithm ./data-k1.5/position.49.dat 24 1.5 ./data-k1.5/position.50.dat 25 1.5 -.. container:: justify - - Alternatively, you can download this |download_metadata| file. - Then, simply run the following command in the terminal: +Alternatively, you can download this |download_metadata| file. Then, simply run +the following command in the terminal: .. |download_metadata| raw:: html @@ -610,19 +527,16 @@ WHAM algorithm ./wham -25 25 50 1e-8 119.8 0 metadata.dat PMF.dat -.. container:: justify - - where -25 and 25 are the boundaries, 50 is the number of bins, - 1e-8 the tolerance, and 119.8 the temperature. A file named - PMF.dat has been created and contains the free energy - profile in Kcal/mol. +where -25 and 25 are the boundaries, 50 is the number of bins, +1e-8 the tolerance, and 119.8 the temperature. A file named +PMF.dat has been created and contains the free energy +profile in Kcal/mol. -**Results** +Results +------- -.. container:: justify - - Again, one can compare the result of the PMF with the imposed potential :math:`U`, - which shows that the agreement is excellent. +Again, one can compare the result of the PMF with the imposed potential :math:`U`, +which shows that the agreement is excellent. .. figure:: ../figures/level3/free-energy-calculation/freeenergy.png :alt: Result of the umbrella sampling @@ -637,26 +551,22 @@ WHAM algorithm Figure: Calculated potential using umbrella sampling compared to the imposed potential with :math:`U_0 = 10 \epsilon`. The calculated potential is in blue. -.. container:: justify - - We can see that the agreement is quite good despite the very short calculation time - and the very high value for the energy barrier. Obtaining the same - results with Free Sampling would require performing extremely long - and costly simulations. +We can see that the agreement is quite good despite the very short calculation time +and the very high value for the energy barrier. Obtaining the same +results with Free Sampling would require performing extremely long +and costly simulations. .. include:: ../../non-tutorials/accessfile.rst Side note: on the choice of k ----------------------------- -.. container:: justify - - As already stated, one difficult part of umbrella sampling is to choose the value of :math:`k`. - Ideally, you want the biasing potential to be strong enough to force - the chosen atom to move along the axis, and you also want the - fluctuations of the atom position to be large enough to - have some overlap in the density probability of two - neighbor positions. Here, 3 different values of :math:`k` are being tested. +As already stated, one difficult part of umbrella sampling is to choose the value of :math:`k`. +Ideally, you want the biasing potential to be strong enough to force +the chosen atom to move along the axis, and you also want the +fluctuations of the atom position to be large enough to +have some overlap in the density probability of two +neighbor positions. Here, 3 different values of :math:`k` are being tested. .. figure:: ../figures/level3/free-energy-calculation/overlap-light.png :alt: Averaged density profile @@ -672,17 +582,13 @@ Side note: on the choice of k :math:`k = 1.5\,\text{Kcal}/\text{mol}/Å^2` (b), and :math:`k = 15\,\text{Kcal}/\text{mol}/Å^2` (c). -.. container:: justify - - If :math:`k` is too small, the biasing potential is too weak to - force the particle to explore the - region of interest, making it impossible to reconstruct the PMF. +If :math:`k` is too small, the biasing potential is too weak to +force the particle to explore the +region of interest, making it impossible to reconstruct the PMF. -.. container:: justify - - If :math:`k` is too large, the biasing potential is too large - compared to the potential one wants to probe, which reduces the - sensitivity of the method. +If :math:`k` is too large, the biasing potential is too large +compared to the potential one wants to probe, which reduces the +sensitivity of the method. Going further with exercises ============================ @@ -692,15 +598,13 @@ Going further with exercises The binary fluid that won't mix ------------------------------- -.. container:: justify - - **1 - Create the system** +**1 - Create the system** - Create a molecular simulation with two species of respective types 1 and 2. - Apply different potentials :math:`U1` and :math:`U2` on particles of - types 1 and 2, respectively, so that particles of type 1 are excluded - from the center of the box, while at the same time particles - of type 2 are excluded from the rest of the box. +Create a molecular simulation with two species of respective types 1 and 2. +Apply different potentials :math:`U1` and :math:`U2` on particles of +types 1 and 2, respectively, so that particles of type 1 are excluded +from the center of the box, while at the same time particles +of type 2 are excluded from the rest of the box. .. figure:: ../figures/level3/free-energy-calculation/exercice2-light.png :alt: Particles of type 1 and 2 separated by two different potentials @@ -714,13 +618,11 @@ The binary fluid that won't mix Figure: Particles of type 1 and 2 separated by two different potentials. -.. container:: justify +**2 - Measure the PMFs** - **2 - Measure the PMFs** - - Using the same protocol as the one used in the tutorial - (i.e. umbrella sampling with the wham algorithm), - extract the PMF for each particle type. +Using the same protocol as the one used in the tutorial +(i.e. umbrella sampling with the wham algorithm), +extract the PMF for each particle type. .. figure:: ../figures/level3/free-energy-calculation/exercice-binary-light.png :alt: PMF in the presence of binary species @@ -737,17 +639,13 @@ The binary fluid that won't mix Particles under convection -------------------------- -.. container:: justify - - Use a similar simulation as the one from the tutorial, - with a repulsive potential in the center - of the box. Add force to the particles - and force them to flow in the :math:`x` direction. +Use a similar simulation as the one from the tutorial, +with a repulsive potential in the center +of the box. Add force to the particles +and force them to flow in the :math:`x` direction. -.. container:: justify - - Re-measure the potential in the presence of the flow, and observe the difference - with the reference case in the absence of flow. +Re-measure the potential in the presence of the flow, and observe the difference +with the reference case in the absence of flow. .. figure:: ../figures/level3/free-energy-calculation/exercice-convection-light.png :alt: PMF in the presence of forcing @@ -765,12 +663,10 @@ Particles under convection Surface adsorption of a molecule -------------------------------- -.. container:: justify - - Apply umbrella sampling to calculate the free energy profile - of ethanol in the direction normal to a crystal solid surface - (here made of sodium chloride). Find the |topology-ethanol| - and |parameter-ethanol|. +Apply umbrella sampling to calculate the free energy profile +of ethanol in the direction normal to a crystal solid surface +(here made of sodium chloride). Find the |topology-ethanol| +and |parameter-ethanol|. .. |topology-ethanol| raw:: html @@ -780,10 +676,7 @@ Surface adsorption of a molecule parameter file - -.. container:: justify - - Use the following lines for starting the *input.lammps*: +Use the following lines for starting the *input.lammps*: .. code-block:: lammps @@ -797,11 +690,9 @@ Surface adsorption of a molecule kspace_style pppm 1.0e-4 pair_modify mix arithmetic tail yes -.. container:: justify - - The PMF normal to a solid wall serves to indicate the free energy of adsorption, - which can be calculated from the difference between the PMF far - from the surface, and the PMF at the wall. +The PMF normal to a solid wall serves to indicate the free energy of adsorption, +which can be calculated from the difference between the PMF far +from the surface, and the PMF at the wall. .. figure:: ../figures/level3/free-energy-calculation/ethanol-light.png :alt: Ethanol molecule next to NaCl @@ -815,10 +706,8 @@ Surface adsorption of a molecule Figure: A single ethanol molecule next to a crystal NaCl(100) wall. -.. container:: justify - - The PMF shows a minimum near the solid surface, which indicates a good - affinity between the wall and the molecule. +The PMF shows a minimum near the solid surface, which indicates a good +affinity between the wall and the molecule. .. figure:: ../figures/level3/free-energy-calculation/exercice-ethanol-light.png :alt: PMF for ethanol molecule next to NaCl @@ -837,8 +726,6 @@ Surface adsorption of a molecule the energy far from the surface. This difference corresponds to the free energy of adsorption. -.. container:: justify - - Alternatively to using ethanol, feel free to download the molecule of your choice, for - instance from the Automated Topology Builder (ATB). Make your life simpler - by choosing a small molecule like CO2. +Alternatively to using ethanol, feel free to download the molecule of your choice, for +instance from the Automated Topology Builder (ATB). Make your life simpler +by choosing a small molecule like CO2. diff --git a/docs/sphinx/source/tutorials/level3/reactive-silicon-dioxide.rst b/docs/sphinx/source/tutorials/level3/reactive-silicon-dioxide.rst index adbbce20..0ad96517 100644 --- a/docs/sphinx/source/tutorials/level3/reactive-silicon-dioxide.rst +++ b/docs/sphinx/source/tutorials/level3/reactive-silicon-dioxide.rst @@ -19,20 +19,16 @@ Reactive silicon dioxide :class: only-dark :align: right -.. container:: justify +The objective of this tutorial is to use a +reactive force field (ReaxFF :cite:`van2001reaxff, zou2012investigation`) +to calculate the partial charges of a system undergoing +deformation, as well as chemical bond formation and breaking. - The objective of this tutorial is to use a - reactive force field (ReaxFF :cite:`van2001reaxff, zou2012investigation`) - to calculate the partial charges of a system undergoing - deformation, as well as chemical bond formation and breaking. - -.. container:: justify - - The system simulated here is a block of silicon dioxide (:math:`\text{SiO}_2`) that is deformed - until rupture. Particular attention is given to the evolution of the atomic charges - during the deformation of the structure, and - the chemical reactions occurring due to the deformation - are tracked over time. +The system simulated here is a block of silicon dioxide (:math:`\text{SiO}_2`) that is deformed +until rupture. Particular attention is given to the evolution of the atomic charges +during the deformation of the structure, and +the chemical reactions occurring due to the deformation +are tracked over time. .. include:: ../../non-tutorials/recommand-lj.rst @@ -43,11 +39,8 @@ Reactive silicon dioxide Prepare and relax ================= -.. container:: justify - - Create a folder, name it *RelaxSilica/*, - and |download_silica_data| the initial topology of a small - amorphous silica structure. +Create a folder, name it *RelaxSilica/*, and |download_silica_data| the initial +topology of a small amorphous silica structure. .. |download_silica_data| raw:: html @@ -71,25 +64,19 @@ Prepare and relax here -.. container:: justify - - If you open the *silica.data* file, you will see in the Atoms section that - all silicon atoms have the same charge :math:`q = 1.1\,\text{e}`, - and all oxygen atoms the charge :math:`q = -0.55\,\text{e}`. - This is common with classical force fields and will change once - ReaxFF is used. - -.. container:: justify - - The first action we need to perform here is to relax - the structure with ReaxFF, which we are gonna do using molecular - dynamics. To make sure that the system equilibrates - nicely, let us track some parameters over time. +If you open the *silica.data* file, you will see in the Atoms section that +all silicon atoms have the same charge :math:`q = 1.1\,\text{e}`, +and all oxygen atoms the charge :math:`q = -0.55\,\text{e}`. +This is common with classical force fields and will change once +ReaxFF is used. -.. container:: justify +The first action we need to perform here is to relax +the structure with ReaxFF, which we are gonna do using molecular +dynamics. To make sure that the system equilibrates +nicely, let us track some parameters over time. - Create an input file called *input.lammps* in *RelaxSilica/*, - and copy the following lines into it: +Create an input file called *input.lammps* in *RelaxSilica/*, +and copy the following lines into it: .. code-block:: lammps @@ -101,13 +88,11 @@ Prepare and relax mass 1 28.0855 # Si mass 2 15.999 # O -.. container:: justify - - So far, the input is very similar to what was seen - in the previous tutorials. Some basic parameters are - defined (*units*, *atom_style* and *masses*), and - the *.data* file is imported by the *read_data* command. - Now, let us copy three crucial lines into the *input.lammps* file: +So far, the input is very similar to what was seen +in the previous tutorials. Some basic parameters are +defined (*units*, *atom_style* and *masses*), and +the *.data* file is imported by the *read_data* command. +Now, let us copy three crucial lines into the *input.lammps* file: .. code-block:: lammps @@ -115,28 +100,22 @@ Prepare and relax pair_coeff * * reaxCHOFe.ff Si O fix myqeq all qeq/reaxff 1 0.0 10.0 1.0e-6 reaxff maxiter 400 -.. container:: justify - - Here, the *pair_style reaxff* is used with no control file. - The *safezone* and *mincap* keywords have been added - to avoid memory allocation issues, which sometimes can trigger - the segmentation faults and *bondchk* failed errors. - -.. container:: justify +Here, the *pair_style reaxff* is used with no control file. +The *safezone* and *mincap* keywords have been added +to avoid memory allocation issues, which sometimes can trigger +the segmentation faults and *bondchk* failed errors. - The *pair_coeff* uses - the |reaxCHOFe| file, which must be downloaded and saved within - *RelaxSilica/*. For consistency with the masses and the *silica.data* file, - the atoms of type 1 are set as silicon (Si), - and the atoms of type 2 as oxygen (O). +The *pair_coeff* uses +the |reaxCHOFe| file, which must be downloaded and saved within +*RelaxSilica/*. For consistency with the masses and the *silica.data* file, +the atoms of type 1 are set as silicon (Si), +and the atoms of type 2 as oxygen (O). -.. container:: justify - - Finally, the *fix qeq/reaxff* is used to perform charge equilibration :cite:`rappe1991charge`. - The charge equilibration occurs at every step. The values 0.0 and 10.0 - are the low and the high cutoffs, respectively, and :math:`1.0 \text{e} -6` is a - tolerance. Finally, *maxiter* sets an upper limit to the number of attempts to - equilibrate the charge. +Finally, the *fix qeq/reaxff* is used to perform charge equilibration :cite:`rappe1991charge`. +The charge equilibration occurs at every step. The values 0.0 and 10.0 +are the low and the high cutoffs, respectively, and :math:`1.0 \text{e} -6` is a +tolerance. Finally, *maxiter* sets an upper limit to the number of attempts to +equilibrate the charge. .. admonition:: Note :class: info @@ -150,10 +129,8 @@ Prepare and relax reaxCHOFe.ff -.. container:: justify - - Then, let us add some commands to the *input.lammps* file - to measure the evolution of the charges during the simulation: +Then, let us add some commands to the *input.lammps* file +to measure the evolution of the charges during the simulation: .. code-block:: lammps @@ -161,12 +138,10 @@ Prepare and relax group grpO type 2 variable qSi equal charge(grpSi)/count(grpSi) variable qO equal charge(grpO)/count(grpO) - -.. container:: justify - Let us also print the charge in the *.log* file by using *thermo_style*, - and create a *.lammpstrj* file for visualization. - Add the following lines into the *input.lammps*: +Let us also print the charge in the *.log* file by using *thermo_style*, +and create a *.lammpstrj* file for visualization. +Add the following lines into the *input.lammps*: .. code-block:: lammps @@ -174,25 +149,19 @@ Prepare and relax thermo_style custom step temp etotal press vol v_qSi v_qO dump dmp all custom 100 dump.lammpstrj id type q x y z -.. container:: justify - - Let us also use the *fix reaxff/species* to evaluate what - species are present within the simulation. It will be useful later when - the system is deformed and some bonds are broken: +Let us also use the *fix reaxff/species* to evaluate what +species are present within the simulation. It will be useful later when +the system is deformed and some bonds are broken: .. code-block:: lammps fix myspec all reaxff/species 5 1 5 species.log element Si O -.. container:: justify - - Here, the information will be printed every 5 steps in a - file named *species.log*. +Here, the information will be printed every 5 steps in a +file named *species.log*. -.. container:: justify - - Let us perform a very short run using the anisotropic NPT command - and relax the density of the system. +Let us perform a very short run using the anisotropic NPT command +and relax the density of the system. .. code-block:: lammps @@ -204,16 +173,12 @@ Prepare and relax write_data silica-relaxed.data -.. container:: justify - - Run the *input.lammps* file using LAMMPS. As seen from *species.log*, - only one species is detected, called *Si192O384*, representing the entire system. - -.. container:: justify +Run the *input.lammps* file using LAMMPS. As seen from *species.log*, +only one species is detected, called *Si192O384*, representing the entire system. - As the simulation progresses, you can see that the charges of the atoms are - fluctuating since the charge of every individual atom is adjusting to its - local environment in real time. +As the simulation progresses, you can see that the charges of the atoms are +fluctuating since the charge of every individual atom is adjusting to its +local environment in real time. .. figure:: ../figures/level3/reactive-silicon-dioxide/average-charge.png :alt: Charge of silica during equilibration with reaxff and LAMMPS @@ -229,12 +194,10 @@ Prepare and relax atoms during equilibration, as given by the *v_qSi* and *v_qO* variables. -.. container:: justify - - Additionally, the average charge of the atoms is strongly fluctuating - at the beginning of the simulation. This early fluctuation correlates - with a rapid volume change of the box, during which - the inter-atomic distances are expected to quickly change. +Additionally, the average charge of the atoms is strongly fluctuating +at the beginning of the simulation. This early fluctuation correlates +with a rapid volume change of the box, during which +the inter-atomic distances are expected to quickly change. .. figure:: ../figures/level3/reactive-silicon-dioxide/volume.png :alt: volume of the system with reaxff and LAMMPS @@ -248,12 +211,10 @@ Prepare and relax Figure: Volume of the system as a function of time. -.. container:: justify - - Since each atom has a charge that depends on its local environment, - the charge values are expected to be different for every atom in the system. - We can plot the charge distribution :math:`P(q)`, using the charge values - printed in the *.lammptrj* file. +Since each atom has a charge that depends on its local environment, +the charge values are expected to be different for every atom in the system. +We can plot the charge distribution :math:`P(q)`, using the charge values +printed in the *.lammptrj* file. .. figure:: ../figures/level3/reactive-silicon-dioxide/distribution-charge.png :alt: Distribution charge of silica and oxygen during equilibration with reaxff @@ -268,11 +229,9 @@ Prepare and relax Figure: Probability distribution of charge of silicon (positive, blue) and oxygen (negative, orange) atoms during equilibration. -.. container:: justify - - Using VMD and coloring the atoms by their charges, one can see that - the atoms with the extreme-most charges are located at defects in the - amorphous structure (here at the positions of the dangling oxygen groups). +Using VMD and coloring the atoms by their charges, one can see that +the atoms with the extreme-most charges are located at defects in the +amorphous structure (here at the positions of the dangling oxygen groups). .. figure:: ../figures/level3/reactive-silicon-dioxide/silicon-light.png :alt: Amorphous silica colored by charges using VMD @@ -294,16 +253,12 @@ Prepare and relax Deform the structure ==================== -.. container:: justify - - Let us apply a deformation to the structure to force some - :math:`\text{Si}-\text{O}` bonds to break (and eventually re-assemble). - -.. container:: justify +Let us apply a deformation to the structure to force some +:math:`\text{Si}-\text{O}` bonds to break (and eventually re-assemble). - Next to *RelaxSilica/*, create a folder, call it *Deform/* and create a - file named *input.lammps* in it. Copy the same lines as previously in - *input.lammps*: +Next to *RelaxSilica/*, create a folder, call it *Deform/* and create a +file named *input.lammps* in it. Copy the same lines as previously in +*input.lammps*: .. code-block:: lammps @@ -319,11 +274,9 @@ Deform the structure pair_coeff * * ../RelaxSilica/reaxCHOFe.ff Si O fix myqeq all qeq/reaxff 1 0.0 10.0 1.0e-6 reaxff maxiter 400 -.. container:: justify - - The only differences with the previous *input.lammps* file are the - paths to the *.data* and *.ff* files located within *RelaxSilica/*. - Copy the following lines as well: +The only differences with the previous *input.lammps* file are the +paths to the *.data* and *.ff* files located within *RelaxSilica/*. +Copy the following lines as well: .. code-block:: lammps @@ -338,10 +291,8 @@ Deform the structure fix myspec all reaxff/species 5 1 5 species.log element Si O -.. container:: justify - - Then, let us use *fix nvt* instead of *fix npt* to apply a - thermostat but no barostat: +Then, let us use *fix nvt* instead of *fix npt* to apply a +thermostat but no barostat: .. code-block:: lammps @@ -354,11 +305,9 @@ Deform the structure Here, no barostat is used because the box volume will be imposed by the *fix deform*. -.. container:: justify - - Let us run for 5000 steps without deformation, then apply the *fix deform* - for elongating progressively the box along *x* during 25000 steps. Add the - following line to *input.lammps*: +Let us run for 5000 steps without deformation, then apply the *fix deform* +for elongating progressively the box along *x* during 25000 steps. Add the +following line to *input.lammps*: .. code-block:: lammps @@ -370,14 +319,12 @@ Deform the structure write_data silica-deformed.data -.. container:: justify - - Run the *input.lammps* file using LAMMPS. During the deformation, the charge values progressively evolve until the structure - eventually breaks down. After the structure breaks down, the charges - equilibrate near new average values that differ from the starting averages. - The difference between the initial and the final charges can be explained by - the presence of defects as well as new solid/vacuum interfaces, and the fact - that surface atoms typically have different charges compared to bulk atoms. +Run the *input.lammps* file using LAMMPS. During the deformation, the charge values +progressively evolve until the structure eventually breaks down. After the structure +breaks down, the charges equilibrate near new average values that differ from +the starting averages. The difference between the initial and the final charges can +be explained by the presence of defects as well as new solid/vacuum interfaces, and +the fact that surface atoms typically have different charges compared to bulk atoms. .. figure:: ../figures/level3/reactive-silicon-dioxide/deformed-charge.png :alt: Charge of silica during deformation of the silicon oxide with LAMMPS and reaxff @@ -395,10 +342,8 @@ Deform the structure vertical dashed lines mark the beginning of the deformation, and the horizontal dashed lines denote the initial values for the average charge. -.. container:: justify - - There is also a strong increase in temperature during the rupture of the - material. +There is also a strong increase in temperature during the rupture of the +material. .. figure:: ../figures/level3/reactive-silicon-dioxide/deformed-temperature.png :alt: temperature of silica during deformation of the silicon oxide with LAMMPS and reaxff @@ -414,11 +359,9 @@ Deform the structure :math:`t`. The material ruptures near :math:`t = 10~\text{ps}`. -.. container:: justify - - At the end of the deformation, one can visualize the broken material using - VMD. Notice the different charge values of the atoms located near the vacuum - interfaces, compared to the atoms located in the bulk of the material. +At the end of the deformation, one can visualize the broken material using +VMD. Notice the different charge values of the atoms located near the vacuum +interfaces, compared to the atoms located in the bulk of the material. .. figure:: ../figures/level3/reactive-silicon-dioxide/deformed-light.png :alt: Deformed amorphous silica colored by charges using VMD @@ -435,10 +378,8 @@ Deform the structure a charge of about :math:`1.8~\text{e}` appear in red/orange, and bulk O atoms with a charge of about :math:`-0.9~\text{e}`` appear in blue. -.. container:: justify - - One can have a look at the charge distribution after deformation, - as well as during the deformation. +One can have a look at the charge distribution after deformation, +as well as during the deformation. .. figure:: ../figures/level3/reactive-silicon-dioxide/deformed-distribution-charge.png :alt: Distribution charge of silica and oxygen during equilibration with reaxff @@ -453,11 +394,9 @@ Deform the structure Figure: Distribution of charge of silicon (positive, blue) and oxygen (negative, orange) after deformation. The stars correspond to the charge distribution during deformation. -.. container:: justify - - As expected, the final charge distribution slightly differs from the - previously calculated. In my case, no new species were formed during the - simulation, as can be seen from the *species.log* file: +As expected, the final charge distribution slightly differs from the +previously calculated. In my case, no new species were formed during the +simulation, as can be seen from the *species.log* file: .. code-block:: lammps @@ -467,10 +406,8 @@ Deform the structure # Timestep No_Moles No_Specs Si192O384 30000 1 1 1 -.. container:: justify - - Sometimes, :math:`\text{O}_2` molecules are formed during the - deformation. If this is the case, the *species.log* file will look like: +Sometimes, :math:`\text{O}_2` molecules are formed during the +deformation. If this is the case, the *species.log* file will look like: .. code-block:: lammps @@ -483,20 +420,16 @@ Deform the structure Decorate the surface ==================== -.. container:: justify - - In ambient conditions, some of the surface :math:`\text{SiO}_2` atoms are chemically - passivated by forming covalent bonds with hydrogen (H) atoms :math:`sulpizi2012silica`. - Let us add hydrogen atoms randomly to the cracked silica and observe how - the system evolves over time. - -.. container:: justify +In ambient conditions, some of the surface :math:`\text{SiO}_2` atoms are chemically +passivated by forming covalent bonds with hydrogen (H) atoms :math:`sulpizi2012silica`. +Let us add hydrogen atoms randomly to the cracked silica and observe how +the system evolves over time. - Next to *RelaxSilica/* and *Deform/*, create a folder, and call it *Decorate/*. - Then, let us modify the previously generated data file - *silica-deformed.data* and make space for a third atom type. - Copy *silica-deformed.data* from the *Deform/* folder, - and modify the first lines as follow: +Next to *RelaxSilica/* and *Deform/*, create a folder, and call it *Decorate/*. +Then, let us modify the previously generated data file +*silica-deformed.data* and make space for a third atom type. +Copy *silica-deformed.data* from the *Deform/* folder, +and modify the first lines as follow: .. code-block:: lammps @@ -515,11 +448,9 @@ Decorate the surface (...) -.. container:: justify - - Create a file named *input.lammps* - into the *Decorate/* folder, and copy - the following lines into it: +Create a file named *input.lammps* +into the *Decorate/* folder, and copy +the following lines into it: .. code-block:: lammps @@ -533,22 +464,16 @@ Decorate the surface pair_coeff * * ../RelaxSilica/reaxCHOFe.ff Si O H fix myqeq all qeq/reaxff 1 0.0 10.0 1.0e-6 reaxff maxiter 400 -.. container:: justify - - Here, the *displace_atoms* command was used to move the center of the crack - near the center of the box. This step is optional but makes the visualization - of the interface in VMD easier. A different value for the shift may be - needed in your case, depending on the location of the crack. - -.. container:: justify +Here, the *displace_atoms* command was used to move the center of the crack +near the center of the box. This step is optional but makes the visualization +of the interface in VMD easier. A different value for the shift may be +needed in your case, depending on the location of the crack. - A difference with the previous input is that three atom types are specified - in the *pair_coeff* command, *Si O H*, instead of two. +A difference with the previous input is that three atom types are specified +in the *pair_coeff* command, *Si O H*, instead of two. -.. container:: justify - - Then, let us adapt some familiar commands to measure the charges of all - three types of atoms, and output the charge values into log files: +Then, let us adapt some familiar commands to measure the charges of all +three types of atoms, and output the charge values into log files: .. code-block:: lammps @@ -564,16 +489,12 @@ Decorate the surface v_qSi v_qO v_qH fix myspec all reaxff/species 5 1 5 species.log element Si O H -.. container:: justify - - Here, the :math:`+1\text{e}-10` was added to the denominator of the - *variable qH* in order to avoid dividing by 0 at the beginning of the - simulation. +Here, the :math:`+1\text{e}-10` was added to the denominator of the +*variable qH* in order to avoid dividing by 0 at the beginning of the +simulation. -.. container:: justify - - Finally, let us create a loop with 10 steps, and create two hydrogen atoms - at random locations at every step: +Finally, let us create a loop with 10 steps, and create two hydrogen atoms +at random locations at every step: .. code-block:: lammps @@ -593,18 +514,14 @@ Decorate the surface jump SELF loop write_data decorated.data - -.. container:: justify - - Here, a different *lammpstrj* file is created for each step of the loop to - avoid creating dump files with varying numbers of atoms, which VMD can't - read. -.. container:: justify +Here, a different *lammpstrj* file is created for each step of the loop to +avoid creating dump files with varying numbers of atoms, which VMD can't +read. - Once the simulation is over, it can be seen from the *species.log* file that - all the created hydrogen atoms reacted with the :math:`\text{SiO}_{2}` - structure to form surface groups (such as hydroxyl (-OH) groups). +Once the simulation is over, it can be seen from the *species.log* file that +all the created hydrogen atoms reacted with the :math:`\text{SiO}_{2}` +structure to form surface groups (such as hydroxyl (-OH) groups). .. code-block:: lammps @@ -640,10 +557,8 @@ Going further with exercises Hydrate the structure --------------------- -.. container:: justify - - Add water molecules to the current structure, and follow the reactions over - time. +Add water molecules to the current structure, and follow the reactions over +time. .. figure:: ../figures/level3/reactive-silicon-dioxide/hydrated-light.png :alt: Cracked silicon oxide after addition of water molecule @@ -661,11 +576,9 @@ Hydrate the structure A slightly acidic bulk solution ------------------------------- -.. container:: justify - - Create a bulk water system with a few hydronium ions (:math:`H_3O^+` - or :math:`H^+`) using ReaxFF. The addition of hydronium ions will make the - system acidic. +Create a bulk water system with a few hydronium ions (:math:`H_3O^+` +or :math:`H^+`) using ReaxFF. The addition of hydronium ions will make the +system acidic. .. figure:: ../figures/level3/reactive-silicon-dioxide/acidic-water-light.png :alt: Acidic bulk water with ReaxFF diff --git a/docs/sphinx/source/tutorials/level3/water-adsorption-in-silica.rst b/docs/sphinx/source/tutorials/level3/water-adsorption-in-silica.rst index 7d3a31b8..73e6b345 100644 --- a/docs/sphinx/source/tutorials/level3/water-adsorption-in-silica.rst +++ b/docs/sphinx/source/tutorials/level3/water-adsorption-in-silica.rst @@ -19,20 +19,16 @@ Water adsorption in silica :class: only-light :align: right -.. container:: justify +The objective of this tutorial is to combine molecular +dynamics and grand canonical Monte Carlo simulations to +compute the adsorption of water molecules in cracked silica material. - The objective of this tutorial is to combine molecular - dynamics and grand canonical Monte Carlo simulations to - compute the adsorption of water molecules in cracked silica material. - -.. container:: justify - - This tutorial illustrates the use of the grand canonical - ensemble in molecular simulation, an open ensemble in which - the number of atoms or molecules within the simulation box is not constant. - When using the grand canonical ensemble, it is possible to impose - the chemical potential (or pressure) of a given fluid - in a nanoporous structure. +This tutorial illustrates the use of the grand canonical +ensemble in molecular simulation, an open ensemble in which +the number of atoms or molecules within the simulation box is not constant. +When using the grand canonical ensemble, it is possible to impose +the chemical potential (or pressure) of a given fluid +in a nanoporous structure. .. include:: ../../non-tutorials/recommand-lj.rst @@ -43,11 +39,9 @@ Water adsorption in silica Generation of the silica block ============================== -.. container:: justify - - Let us first generate a block of amorphous silica (SiO2). To do - so, we are going to replicate a building block containing 3 - Si and 6 O atoms. +Let us first generate a block of amorphous silica (SiO2). To do +so, we are going to replicate a building block containing 3 +Si and 6 O atoms. .. admonition:: Not interested in the annealing procedure ? :class: info @@ -58,22 +52,18 @@ Generation of the silica block .. |download_silica_block| raw:: html here - -.. container:: justify - Create two folders side by side, and name them respectively *Potential/* - and *SilicaBlock/*. +Create two folders side by side, and name them respectively *Potential/* +and *SilicaBlock/*. -.. container:: justify - - An initial data file for the SiO atoms can be - downloaded by clicking |download_SiO.data|. - Save it in *SilicaBlock/*. This data file - contains the coordinates of the 9 atoms, their masses, and - their charges. The *.data* file can be directly read by LAMMPS using the - *read_data* command. Let us replicate these atoms using - LAMMPS, and apply an annealing procedure to obtain a block - of amorphous silica. +An initial data file for the SiO atoms can be +downloaded by clicking |download_SiO.data|. +Save it in *SilicaBlock/*. This data file +contains the coordinates of the 9 atoms, their masses, and +their charges. The *.data* file can be directly read by LAMMPS using the +*read_data* command. Let us replicate these atoms using +LAMMPS, and apply an annealing procedure to obtain a block +of amorphous silica. .. admonition:: About annealing procedure :class: info @@ -84,10 +74,8 @@ Generation of the silica block amorphous silica. Depending on the material, different cooling velocities can sometimes lead to different crystal structures or different degrees of defect. -.. container:: justify - - Create a new input file named *input.lammps* in the *SilicaBlock/* folder, and copy - the following lines into it: +Create a new input file named *input.lammps* in the *SilicaBlock/* folder, and copy +the following lines into it: .. |download_SiO.data| raw:: html @@ -102,12 +90,9 @@ Generation of the silica block neighbor 1.0 bin neigh_modify delay 1 -.. container:: justify - - The main difference with some of the previous tutorials is the use of - the *Vashishta* pair style. Download the *Vashishta* potential by - clicking |download_vashishta|, - and copy it within the *Potential/* folder. +The main difference with some of the previous tutorials is the use of +the *Vashishta* pair style. Download the *Vashishta* potential by +clicking |download_vashishta|, and copy it within the *Potential/* folder. .. |download_vashishta| raw:: html @@ -134,33 +119,27 @@ Generation of the silica block Vashishta -.. container:: justify - - Let us then import the system made of 9 atoms, and replicate it four times in all three - directions of space, thus creating a system with 576 atoms. Add the following lines - to *input.lammps*: +Let us then import the system made of 9 atoms, and replicate it four times in all three +directions of space, thus creating a system with 576 atoms. Add the following lines +to *input.lammps*: .. code-block:: lammps read_data SiO.data replicate 4 4 4 -.. container:: justify - - Then, let us specify the pair coefficients by indicating - that the first atom type is *Si*, and - the second is *O*. Let us also - add a dump command for printing out the positions of the - atoms every 5000 steps: +Then, let us specify the pair coefficients by indicating +that the first atom type is *Si*, and +the second is *O*. Let us also +add a dump command for printing out the positions of the +atoms every 5000 steps: .. code-block:: lammps pair_coeff * * ../Potential/SiO.1990.vashishta Si O -.. container:: justify - - Let us add some commands to *input.lammps* to help us follow the evolution of the system, - such as its temperature, volume, and potential energy: +Let us add some commands to *input.lammps* to help us follow the evolution of the system, +such as its temperature, volume, and potential energy: .. code-block:: lammps @@ -177,13 +156,11 @@ Generation of the silica block fix myat3 all ave/time 10 100 1000 v_mypot file potential-energy.dat thermo 1000 -.. container:: justify - - Finally, let us create the last part of our script. The - annealing procedure is made of four consecutive runs. - First, a :math:`50\,\text{ps}` - phase at :math:`T = 6000\,\text{K}` - and isotropic pressure coupling with desired pressure :math:`p = 100\,\text{atm}`: +Finally, let us create the last part of our script. The +annealing procedure is made of four consecutive runs. +First, a :math:`50\,\text{ps}` +phase at :math:`T = 6000\,\text{K}` +and isotropic pressure coupling with desired pressure :math:`p = 100\,\text{atm}`: .. code-block:: lammps @@ -192,25 +169,21 @@ Generation of the silica block timestep 0.001 run 50000 -.. container:: justify - - Then, a second phase during which the system is cooled down - from :math:`T = 6000\,\text{K}` - to :math:`T = 4000\,\text{K}`. - An anisotropic pressure coupling is used, allowing all three - dimensions of the box to evolve independently from one another: +Then, a second phase during which the system is cooled down +from :math:`T = 6000\,\text{K}` +to :math:`T = 4000\,\text{K}`. +An anisotropic pressure coupling is used, allowing all three +dimensions of the box to evolve independently from one another: .. code-block:: lammps fix npt1 all npt temp 6000 4000 0.1 aniso 100 100 1 run 50000 - -.. container:: justify - Then, let us cool down the system - further while also reducing the pressure, then perform a - small equilibration step at the final desired condition, :math:`T = 300\,\text{K}` - and :math:`p = 1\,\text{atm}`. +Then, let us cool down the system +further while also reducing the pressure, then perform a +small equilibration step at the final desired condition, :math:`T = 300\,\text{K}` +and :math:`p = 1\,\text{atm}`. .. code-block:: lammps @@ -221,11 +194,9 @@ Generation of the silica block write_data amorphousSiO.data -.. container:: justify - - *Disclaimer --* I created this procedure by intuition and - not from proper calibration, do not copy it without - making your tests if you intend to publish your results. +*Disclaimer --* I created this procedure by intuition and +not from proper calibration, do not copy it without +making your tests if you intend to publish your results. .. admonition:: Anisotropic versus isotropic barostat :class: info @@ -236,16 +207,12 @@ Generation of the silica block anisotropic barostat is usually a better choice for a solid phase. For a liquid or a gas, the isotropic barostat is usually the best choice. -.. container:: justify - - The simulation takes about 15-20 minutes on 4 CPU cores. +The simulation takes about 15-20 minutes on 4 CPU cores. -.. container:: justify - - Let us check the evolution of the temperature from the *temperature.dat* file. - Apart from an initial spike (which may be due to an initial - bad configuration, probably harmless here), - the temperature follows well the desired annealing procedure. +Let us check the evolution of the temperature from the *temperature.dat* file. +Apart from an initial spike (which may be due to an initial +bad configuration, probably harmless here), +the temperature follows well the desired annealing procedure. .. figure:: ../figures/level3/water-adsorption-in-silica/temperature_evolution-dm.png :alt: silica temperature during annealing, from melt to solid @@ -260,11 +227,9 @@ Generation of the silica block Figure: Temperature of the system during annealing. The vertical dashed lines mark the transition between the different phases of the simulations. -.. container:: justify - - Let us also make sure that the box was indeed deformed isotropically during the first - stage of the simulation, and then anisotropically by plotting the evolution of the - box dimensions over time. +Let us also make sure that the box was indeed deformed isotropically during the first +stage of the simulation, and then anisotropically by plotting the evolution of the +box dimensions over time. .. figure:: ../figures/level3/water-adsorption-in-silica/dimensions_evolution-dm.png :alt: box dimensions during annealing, from melt to solid @@ -292,10 +257,8 @@ Generation of the silica block Figure: Snapshot of the final amorphous silica (SiO2) with Si atom in yellow and O atoms in red. -.. container:: justify - - After running the simulation, the final LAMMPS topology file named - *amorphousSiO.data* will be located in *SilicaBlock/*. +After running the simulation, the final LAMMPS topology file named +*amorphousSiO.data* will be located in *SilicaBlock/*. .. admonition:: Tip for research project :class: info @@ -309,12 +272,10 @@ Generation of the silica block Cracking the silica =================== -.. container:: justify - - Let us dilate the block of silica until a - crack forms. Create a new folder called *Cracking/* next to *SilicaBlock/*, - as well as a new *input.lammps* file starting with familiar lines as - previously: +Let us dilate the block of silica until a +crack forms. Create a new folder called *Cracking/* next to *SilicaBlock/*, +as well as a new *input.lammps* file starting with familiar lines as +previously: .. code-block:: lammps @@ -330,15 +291,13 @@ Cracking the silica pair_coeff * * ../Potential/SiO.1990.vashishta Si O dump dmp all atom 1000 dump.lammpstrj -.. container:: justify - - Let us progressively increase the size of the - box in the :math:`x` direction, thus forcing the silica to deform - and eventually crack. To do - so, a loop based on the jump command is used. At - every step of the loop, the box dimension over :math:`x` will - be multiplied by a scaling factor 1.005. Add the following lines into - the *input.lammps*: +Let us progressively increase the size of the +box in the :math:`x` direction, thus forcing the silica to deform +and eventually crack. To do +so, a loop based on the jump command is used. At +every step of the loop, the box dimension over :math:`x` will +be multiplied by a scaling factor 1.005. Add the following lines into +the *input.lammps*: .. code-block:: lammps @@ -354,34 +313,26 @@ Cracking the silica run 20000 write_data dilatedSiO.data -.. container:: justify - - The *fix nvt* is used to control the temperature of the system, while the *change_box* command - imposes incremental deformations of the box. - Different scaling factors or/and different numbers of - steps can be used to generate different defects in the silica. +The *fix nvt* is used to control the temperature of the system, while the +*change_box* command imposes incremental deformations of the box. +Different scaling factors or/and different numbers of +steps can be used to generate different defects in the silica. .. admonition:: On using barostat during deformation :class: info - .. container:: justify - - Here, box deformations are applied in the x direction, while the - y and z box dimensions are kept constants. + Here, box deformations are applied in the x direction, while the + y and z box dimensions are kept constants. - .. container:: justify - - Another possible choice is to apply a barostat along the y and z - directions, allowing for the system to adjust to the stress. In LAMMPS, - this can be done by using : + Another possible choice is to apply a barostat along the y and z + directions, allowing for the system to adjust to the stress. In LAMMPS, + this can be done by using : .. code-block:: lammps fix npt1 all npt temp 300 300 0.1 y 1 1 1 z 1 1 1 - .. container:: justify - - instead of: + instead of: .. code-block:: lammps @@ -400,23 +351,17 @@ Cracking the silica Figure: Block of silica after deformation with Si atom in yellow and O atoms in red. Some holes are visible -.. container:: justify - - After the expansion, a final equilibration step of a duration of 20 - picoseconds is performed. If you look at the *dump.lammpstrj* file - using VMD, you can see the expansion occurring step-by-step, and the - atoms progressively adjusting to the box dimensions. - -.. container:: justify +After the expansion, a final equilibration step of a duration of 20 +picoseconds is performed. If you look at the *dump.lammpstrj* file +using VMD, you can see the expansion occurring step-by-step, and the +atoms progressively adjusting to the box dimensions. - At first, the deformations - are reversible (elastic regime). At some point, bonds - start breaking and dislocations appear (plastic regime). +At first, the deformations +are reversible (elastic regime). At some point, bonds +start breaking and dislocations appear (plastic regime). -.. container:: justify - - Alternatively, you can download the final state directly by clicking - |download_silica_dilated|. +Alternatively, you can download the final state directly by clicking +|download_silica_dilated|. .. |download_silica_dilated| raw:: html @@ -435,35 +380,29 @@ Cracking the silica Adding water ============ -.. container:: justify - - In order to add the water molecules to the silica, we are - going to use the Monte Carlo method in the grand canonical - ensemble (GCMC). In short, the system is put into contact - with a virtual reservoir of a given chemical potential - :math:`\mu`, and multiple attempts to insert water - molecules at random positions are made. Each attempt is - either accepted or rejected based on energy considerations. Find more details - in classical textbooks :cite:`frenkel2023understanding`. +In order to add the water molecules to the silica, we are +going to use the Monte Carlo method in the grand canonical +ensemble (GCMC). In short, the system is put into contact +with a virtual reservoir of a given chemical potential +:math:`\mu`, and multiple attempts to insert water +molecules at random positions are made. Each attempt is +either accepted or rejected based on energy considerations. Find more details +in classical textbooks :cite:`frenkel2023understanding`. Using hydrid potentials ----------------------- -.. container:: justify - - Create a new folder called *Addingwater/*. Download and save the - |download_TIP4P2005| file for the - water molecule within *Addingwater/*. +Create a new folder called *Addingwater/*. Download and save the +|download_TIP4P2005| file for the +water molecule within *Addingwater/*. .. |download_TIP4P2005| raw:: html template -.. container:: justify - - Create a new input file called *input.lammps* - within *Addingwater/*, and copy the - following lines into it: +Create a new input file called *input.lammps* +within *Addingwater/*, and copy the +following lines into it: .. code-block:: lammps @@ -477,14 +416,12 @@ Using hydrid potentials bond_style harmonic angle_style harmonic -.. container:: justify - - There are several differences with the previous input files - used in this tutorial. From now on, the system will combine water and silica, - and therefore two force fields are combined: Vashishta for - SiO, and lj/cut/tip4p/long for TIP4P water model (here - the TIP4P/2005 model is used :cite:`abascal2005general`). - Combining the two force fields is done using the *hybrid/overlay* pair style. +There are several differences with the previous input files +used in this tutorial. From now on, the system will combine water and silica, +and therefore two force fields are combined: Vashishta for +SiO, and lj/cut/tip4p/long for TIP4P water model (here +the TIP4P/2005 model is used :cite:`abascal2005general`). +Combining the two force fields is done using the *hybrid/overlay* pair style. .. admonition:: About hybrid and hybrid/overlay pair style :class: info @@ -496,20 +433,16 @@ Using hydrid potentials With the hybrid/overlay and hybrid/scaled styles, one or more pair styles can be assigned to each pair of atom types. -.. container:: justify - - The *kspace* solver is used to calculate the long - range Coulomb interactions associated with *tip4p/long*. - Finally, the style for the bonds and angles - of the water molecules are defined, although they are not important - since it is a rigid water model. - -.. container:: justify +The *kspace* solver is used to calculate the long +range Coulomb interactions associated with *tip4p/long*. +Finally, the style for the bonds and angles +of the water molecules are defined, although they are not important +since it is a rigid water model. - Before going further, we also need to make a few changes to our data file. - Currently, *dilatedSiO.data* only includes two atom types, but - we need four. Copy the previously generated *dilatedSiO.data* - file within *Addingwater/*. Currently, *dilatedSiO.data* starts with: +Before going further, we also need to make a few changes to our data file. +Currently, *dilatedSiO.data* only includes two atom types, but +we need four. Copy the previously generated *dilatedSiO.data* +file within *Addingwater/*. Currently, *dilatedSiO.data* starts with: .. code-block:: lammps @@ -529,11 +462,9 @@ Using hydrid potentials (...) -.. container:: justify - - Make the following changes to allow for the addition of water - molecules. Modify the file so that it looks like the following - (with 4 atom types, 1 bond type, 1 angle type, and four masses): +Make the following changes to allow for the addition of water +molecules. Modify the file so that it looks like the following +(with 4 atom types, 1 bond type, 1 angle type, and four masses): .. code-block:: lammps @@ -561,18 +492,14 @@ Using hydrid potentials (...) -.. container:: justify - - Doing so, we anticipate that there will be 4 atom types in - the simulations, with O and H of H2O having indexes 3 and 4, - respectively. There will also be 1 bond type and 1 angle - type. The extra bond, extra angle, and extra special lines - are here for memory allocation. +Doing so, we anticipate that there will be 4 atom types in +the simulations, with O and H of H2O having indexes 3 and 4, +respectively. There will also be 1 bond type and 1 angle +type. The extra bond, extra angle, and extra special lines +are here for memory allocation. -.. container:: justify - - We can continue to fill in the - *input.lammps* file, by adding the system definition: +We can continue to fill in the +*input.lammps* file, by adding the system definition: .. code-block:: lammps @@ -585,20 +512,16 @@ Using hydrid potentials group SiO type 1 2 group H2O type 3 4 -.. container:: justify - - After reading the data file and defining the h2omol molecule - from the *.txt* file, the *create_atoms* command is used to - include some water molecules in the system on a - simple cubic lattice. Not adding a molecule before starting the - GCMC steps usually lead to failure. Note that here, - most water molecules overlap with the silica. These - overlapping water molecules will be deleted before - starting the simulation. +After reading the data file and defining the h2omol molecule +from the *.txt* file, the *create_atoms* command is used to +include some water molecules in the system on a +simple cubic lattice. Not adding a molecule before starting the +GCMC steps usually lead to failure. Note that here, +most water molecules overlap with the silica. These +overlapping water molecules will be deleted before +starting the simulation. -.. container:: justify - - Then, add the following settings to *input.lammps*: +Then, add the following settings to *input.lammps*: .. code-block:: lammps @@ -620,36 +543,26 @@ Using hydrid potentials fix shak H2O shake 1.0e-4 200 0 b 1 a 1 mol h2omol -.. container:: justify +The force field Vashishta applies only to Si (type 1) +and O of SiO2 (type 2), +and not to the O and H of H2O, thanks to the NULL +parameters used for atoms of types 3 and 4. - The force field Vashishta applies only to Si (type 1) - and O of SiO2 (type 2), - and not to the O and H of H2O, thanks to the NULL - parameters used for atoms of types 3 and 4. - -.. container:: justify +Pair coefficients for lj/cut/tip4p/long are +defined between O atoms, as well as between +O(SiO)-O(H2O) and Si(SiO)-O(H2O). Therefore, the fluid-solid +interactions will be set by Lennard-Jones and Coulomb potentials. - Pair coefficients for lj/cut/tip4p/long are - defined between O atoms, as well as between - O(SiO)-O(H2O) and Si(SiO)-O(H2O). Therefore, the fluid-solid - interactions will be set by Lennard-Jones and Coulomb potentials. - -.. container:: justify +The number of oxygen atoms from water molecules (i.e. the number of molecules) +will be printed in the file *numbermolecule.dat*. - The number of oxygen atoms from water molecules (i.e. the number of molecules) - will be printed in the file *numbermolecule.dat*. - -.. container:: justify +The SHAKE algorithm is used to +maintain the shape of the water molecules over time. Some of +these features have been seen in previous tutorials. - The SHAKE algorithm is used to - maintain the shape of the water molecules over time. Some of - these features have been seen in previous tutorials. - -.. container:: justify - - Let us delete the overlapping water molecules, and print the - positions of the remaining atoms in a *.lammpstrj* file by adding the following - lines into *input.lammps*: +Let us delete the overlapping water molecules, and print the +positions of the remaining atoms in a *.lammpstrj* file by adding the following +lines into *input.lammps*: .. code-block:: lammps @@ -659,11 +572,9 @@ Using hydrid potentials GCMC simulation --------------- -.. container:: justify - - To prepare for the GCMC simulation, - let us make the first equilibration step - by adding the following lines into *input.lammps*: +To prepare for the GCMC simulation, +let us make the first equilibration step +by adding the following lines into *input.lammps*: .. code-block:: lammps @@ -686,17 +597,13 @@ GCMC simulation separate thermostats is usually better when the system contains two separate species, such as a solid and a liquid. It is particularly important to use two thermostats here because the number of water molecules will fluctuate with time. - -.. container:: justify - - The *compute_modify* with - *dynamic yes* for water is used to specify that the - number of molecules is not constant. -.. container:: justify +The *compute_modify* with +*dynamic yes* for water is used to specify that the +number of molecules is not constant. - Finally, let us use the *fix gcmc* and perform the grand - canonical Monte Carlo steps. Add the following lines into *input.lammps*: +Finally, let us use the *fix gcmc* and perform the grand +canonical Monte Carlo steps. Add the following lines into *input.lammps*: .. code-block:: lammps @@ -722,38 +629,30 @@ GCMC simulation region extends outside simulation box* which seems to occur with the 2Aug2023 LAMMPS version. -.. container:: justify - - The *tfac_insert* option ensures that the correct estimate is - made for the temperature of the inserted water molecules by - taking into account the internal degrees of freedom. Running - this simulation, you should see the number of molecules - increasing progressively. When using the pressure argument, - LAMMPS ignores the value of the chemical potential [here :math:`\mu = -0.5\,\text{eV}`, - which corresponds roughly to ambient conditions (i.e. :math:`\text{RH} \approx 50\,\%`) - :cite:`gravelle2020multi`.] The large pressure value of 10000 bars was chosen to ensure that - some successful insertions of molecules would occur during the - extremely short duration of this simulation. - -.. container:: justify +The *tfac_insert* option ensures that the correct estimate is +made for the temperature of the inserted water molecules by +taking into account the internal degrees of freedom. Running +this simulation, you should see the number of molecules +increasing progressively. When using the pressure argument, +LAMMPS ignores the value of the chemical potential [here :math:`\mu = -0.5\,\text{eV}`, +which corresponds roughly to ambient conditions (i.e. :math:`\text{RH} \approx 50\,\%`) +:cite:`gravelle2020multi`.] The large pressure value of 10000 bars was chosen to ensure that +some successful insertions of molecules would occur during the +extremely short duration of this simulation. - When you run the simulation, make sure that some water molecules - remain in the system after the *delete_atoms* command. You can control - that either using the log file or using the *numbermolecule.dat* data file. +When you run the simulation, make sure that some water molecules +remain in the system after the *delete_atoms* command. You can control +that either using the log file or using the *numbermolecule.dat* data file. -.. container:: justify - - You can see, by looking at the log file, that 280 molecules - were added by the *create_atoms* command (the exact number you get may differ): +You can see, by looking at the log file, that 280 molecules +were added by the *create_atoms* command (the exact number you get may differ): .. code-block:: bw Created 840 atoms -.. container:: justify - - You can also see that 258 molecules were immediately deleted, - leaving 24 water molecules (the exact number you get may differ): +You can also see that 258 molecules were immediately deleted, +leaving 24 water molecules (the exact number you get may differ): .. code-block:: bw @@ -761,12 +660,9 @@ GCMC simulation Deleted 516 bonds, new total = 44 Deleted 258 angles, new total = 22 -.. container:: justify - - After just a few GCMC steps, - the number of molecules starts increasing. - Once the crack is filled with water molecules, the number of - molecules reaches a plateau. +After just a few GCMC steps, the number of molecules starts increasing. +Once the crack is filled with water molecules, the number of +molecules reaches a plateau. .. figure:: ../figures/level3/water-adsorption-in-silica/number_evolution-dm.png :alt: number of water molecules added by the LAMMPS gcmc @@ -781,10 +677,8 @@ GCMC simulation Figure: Number of molecules in the system as a function of the time :math:`t`. The dashed vertical line marks the beginning of the GCMC step. -.. container:: justify - - The final number of molecules depends on the imposed pressure, - temperature, and on the interaction between water and silica (i.e. its hydrophilicity). +The final number of molecules depends on the imposed pressure, +temperature, and on the interaction between water and silica (i.e. its hydrophilicity). .. figure:: ../figures/level3/water-adsorption-in-silica/solvated-dark.png :alt: silica block with water and crack @@ -799,11 +693,9 @@ GCMC simulation Figure: Snapshot of the silica system after the adsorption of the water molecules, with the oxygen of the water molecules represented in cyan. -.. container:: justify - - Note that GCMC simulations of such dense phases are usually slow to converge due to the - very low probability of successfully inserting a molecule. Here, the short simulation - duration was made possible by the use of a large pressure. +Note that GCMC simulations of such dense phases are usually slow to converge due to the +very low probability of successfully inserting a molecule. Here, the short simulation +duration was made possible by the use of a large pressure. .. admonition:: Vizualising varying number of molecules :class: info @@ -820,13 +712,11 @@ Going further with exercises Mixture adsorption ------------------ -.. container:: justify - - Adapt the existing script and insert both :math:`\text{CO}_2` molecules - and water molecules within the silica crack using GCMC. - Download the |CO2-template|. The parameters for the - :math:`\text{CO}_2` - molecule are the following: +Adapt the existing script and insert both :math:`\text{CO}_2` molecules +and water molecules within the silica crack using GCMC. +Download the |CO2-template|. The parameters for the +:math:`\text{CO}_2` +molecule are the following: .. code-block:: lammps @@ -835,10 +725,8 @@ Mixture adsorption bond_coeff 2 46.121 1.17 angle_coeff 2 2.0918 180 -.. container:: justify - - The atom of type 5 is an oxygen of - mass 15.9994, and the atom of type 6 is a carbon of mass 12.011. +The atom of type 5 is an oxygen of +mass 15.9994, and the atom of type 6 is a carbon of mass 12.011. .. figure:: ../figures/level3/water-adsorption-in-silica/H2O-CO2-dark.png :alt: silica block adsorbed water and CO2 @@ -871,22 +759,18 @@ Adsorb water in ZIF-8 nanopores :height: 250 :align: right -.. container:: justify - - Use the same protocol as the one implemented in this tutorial to add water - molecules to a Zif-8 nanoporous material. A snapshot of the system with a - few water molecules is shown on the right. - -.. container:: justify +Use the same protocol as the one implemented in this tutorial to add water +molecules to a Zif-8 nanoporous material. A snapshot of the system with a +few water molecules is shown on the right. - Download the initial Zif-8 |Zif-8-structure|, - the |Zif-8-parameters| file, and this - new |water-template|. The ZIF-8 structure is made - of 7 atom types (C1, C2, C3, H2, H3, N, Zn), connected - by bonds, angles, dihedrals, and impropers. It uses the - same *pair_style* as water, - so there is no need to use *hybrid pair_style*. - Your *input* file should start like this: +Download the initial Zif-8 |Zif-8-structure|, +the |Zif-8-parameters| file, and this +new |water-template|. The ZIF-8 structure is made +of 7 atom types (C1, C2, C3, H2, H3, N, Zn), connected +by bonds, angles, dihedrals, and impropers. It uses the +same *pair_style* as water, +so there is no need to use *hybrid pair_style*. +Your *input* file should start like this: .. code-block:: lammps @@ -903,11 +787,9 @@ Adsorb water in ZIF-8 nanopores special_bonds lj 0.0 0.0 0.5 coul 0.0 0.0 0.833 -.. container:: justify - - An important note: here, water occupies the atom types 1 and 2, - instead of 3 and 4 in the case of SiO2 from the main section - of the tutorial. +An important note: here, water occupies the atom types 1 and 2, +instead of 3 and 4 in the case of SiO2 from the main section +of the tutorial. .. |Zif-8-structure| raw:: html From 300a4271b1cc5e726ec59f874f08a75afd2eeae5 Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Sat, 10 Aug 2024 14:14:45 +0200 Subject: [PATCH 06/51] removed VMD, MDA, and bash tutorials --- docs/sphinx/source/index_replace.html | 9 +- .../source/tutorials/bash/bash-tutorial.rst | 223 ------ .../bash/bash-tutorial/banner-dark.png | Bin 2285757 -> 0 bytes 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Redirecting you to the main page of LAMMPS tutorials

diff --git a/docs/sphinx/source/tutorials/bash/bash-tutorial.rst b/docs/sphinx/source/tutorials/bash/bash-tutorial.rst deleted file mode 100644 index 92f2c879..00000000 --- a/docs/sphinx/source/tutorials/bash/bash-tutorial.rst +++ /dev/null @@ -1,223 +0,0 @@ -.. _bash-label: - -Bash tutorial -************* - -.. container:: hatnote - - Efficiently handle multiple simulations - -.. container:: justify - - Bash scripts can help launch multiple simulations and interact with - LAMMPS input scripts. This can be useful for instance to efficiently - explore a parameter space. - -.. include:: ../../non-tutorials/needhelp.rst - -.. include:: ../../non-tutorials/2Aug2023.rst - -.. container:: justify - - In this tutorial, a simple LAMMPS input script is launched - multiple times using a Bash script. At each iteration, - the number of particles is increased. - -.. figure:: ../figures/bash/bash-tutorial/banner-dark.png - :alt: Image of the lammps LJ fluid - :class: only-dark - -.. figure:: ../figures/bash/bash-tutorial/banner-light.png - :alt: Image of the lammps LJ fluid - :class: only-light - -.. container:: figurelegend - - Binary Lennard-Jones fluid with 1500 particles of type 1 (small spheres) - and an increasing number of particles of type 2 (large spheres), - from 1 (left) to 729 (right). - -Files preparation ------------------ - -.. container:: justify - - To follow this tutorial, |input_file| this simple LAMMPS input file - from :ref:`lennard-jones-label`. - -.. |input_file| raw:: html - - download - -.. container:: justify - - The only changes that were made in this input, compared to :ref:`lennard-jones-label`, - are the use of a variable *nb2* to control the number of particles of type 2: - -.. code-block:: lammps - - create_atoms 1 random 1500 921342 simulation_box overlap 1 maxtry 500 - create_atoms 2 random ${nb2} 225469 simulation_box overlap 1 maxtry 500 - -.. container:: justify - - Normally, we would specify the value of *nb2* within *input.lammps* using - something like *variable nb2 equal 10*, but here instead the value of - *nb2* will be specified externally using *Bash*. - -.. container:: justify - - Another change from :ref:`lennard-jones-label` is that the *overlap* - and *maxtry* keywords were added to ensure that the desired number - of atoms will always be created. - -Pass a variable to a LAMMPS input ---------------------------------- - -.. container:: justify - - The value of nb2 can be specified externally by using *-var* keyword. In the - terminal, call LAMMPS using: - -.. code-block:: bash - - lmp -in input.lammps -var nb2 81 - -.. container:: justify - - Here, *lmp* refers to the compiled LAMMPS version and a value of 81 is - given to the variable *nb2*. Looking at the log file generated during the - simulation, it should be clear that 81 particles of type 2 were created - in addition to the 1500 particles of type 1: - -.. code-block:: bash - - Created 1500 atoms - (...) - Created 81 atoms - -Make a loop ------------ - -.. container:: justify - - Let us use Bash to launch LAMMPS multiple times with different values of the - variable *nb2*. - -.. container:: justify - - Next to the downloaded *input.lammps*, create a new empty file called - *launch_LAMMPS.sh*, and copy the following lines into it. - -.. code-block:: bash - - #!/bin/bash - set -e - - for nb2 in 1 9 81 729 - do - echo 'nb2 = '${nb2} - done - -.. container:: justify - - The first line *#!/bin/bash* indicates that this is a Bash script, - and *set -e* tells Bash to exit immediately in the case of an error. - -.. container:: justify - - Then, within the for loop, the variable $nb2$ takes on the values 1, 9, 81, - and 729 successively, and the *echo* command prints its value at each step. - This Bash script can be executed by typing in a terminal: - -.. code-block:: bash - - bash launch_LAMMPS.sh - -.. container:: justify - - This should return: - -.. code-block:: bash - - nb2 = 1 - nb2 = 9 - nb2 = 81 - nb2 = 729 - -.. container:: justify - - Let us complete the script by calling LAMMPS at each step of the loop: - -.. code-block:: bash - - #!/bin/bash - set -e - - for nb2 in 1 9 81 729 - do - echo 'nb2 = '${nb2} - lmp -in input.lammps -var nb2 ${nb2} - folder=nb${nb2} - mkdir ${folder} - cp dump.lammpstrj ${folder} - done - -.. container:: justify - - As always, replace *lmp* with the proper path to your LAMMPS executable. - -.. container:: justify - - The command starting with *lmp* calls the LAMMPS input *input.lammps*, - while also passing the value of *nb2* to the LAMMPS variable named *nb2*. - -.. container:: justify - - Once the LAMMPS simulation is over, a folder named *nbi*, with i = 1, 9, 81, - or 729 is created by the *mkdir* command, and - the resulting *lammpstrj* file - is copied into it by the *cp* command. - -.. container:: justify - - An alternative way to launch *launch_LAMMPS.sh* is to make it executable - first: - -.. code-block:: bash - - chmod +x launch_LAMMPS.sh - ./launch_LAMMPS.sh - -Pass a random number --------------------- - -.. container:: justify - - Some LAMMPS commands use seeds, such as the *create_atoms* command. - To generate statistically independent simulations, it is sometimes - useful to launch the same input several times using a different seed. - -.. container:: justify - - Within *input.lammps*, add a new variable called *rdm* to the second - *create_atoms* command: - -.. code-block:: lammps - - create_atoms 2 random ${nb2} ${rdm2} simulation_box overlap 1 maxtry 500 - -.. container:: justify - - Then, within the bash script *launch_LAMMPS.sh*, modify the command line as - follows: - -.. code-block:: bash - - ${lmp} -in input.lammps -var nb2 ${nb2} -var rdm2 $RANDOM - -.. container:: justify - - The *-var rdm2 $RANDOM* was added to pass a random number to - the LAMMPS input file. 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