@@ -434,11 +434,19 @@ \subsection{Tutorial 1: Lennard-Jones fluid}
434434The objective of this tutorial is to perform a simple MD simulation
435435using LAMMPS. The system consists of a Lennard-Jones fluid composed of neutral
436436particles with two different effective diameters, contained within a
437- cubic box with periodic boundary conditions (Fig.~\ref {fig:LJ }). In
437+ cubic box with periodic boundary conditions (Fig.~\ref {fig:LJ-avarar }). In
438438this tutorial, the temperature of the system is maintained using a
439439Langevin thermostat~\cite {schneider1978molecular }, and basic quantities,
440440including potential and kinetic energies, are calculated from the simulation.
441441
442+ \begin {figure }
443+ \centering
444+ \includegraphics [width=0.55\linewidth ]{LJ-avatar}
445+ \caption {The binary mixture simulated in \hyperref [lennard-jones-label]{Tutorial 1},
446+ with the small atoms of type 1 in green and large atoms of type 2 in blue.}
447+ \label {fig:LJ-avatar }
448+ \end {figure }
449+
442450\subsubsection {My first input }
443451
444452To run a simulation using LAMMPS, you need to write an input script containing
@@ -616,8 +624,9 @@ \subsubsection{My first input}
616624\begin {figure }
617625\centering
618626\includegraphics [width=0.55\linewidth ]{LJ}
619- \caption {The binary mixture simulated during \hyperref [lennard-jones-label]{Tutorial 1}.
620- The atoms of type 1 are represented as small red spheres, the atoms of type 2 as large
627+ \caption {The binary mixture simulated in \hyperref [lennard-jones-label]{Tutorial 1}.
628+ This image was generated directly from the LAMMPS--GUI. Atoms of
629+ type 1 are represented as small red spheres, atoms of type 2 as large
621630 green spheres, and the edges of the simulation box are represented as blue sticks.}
622631\label {fig:LJ }
623632\end {figure }
@@ -726,69 +735,73 @@ \subsubsection{My first input}
726735
727736\paragraph {Molecular dynamics }
728737
729- After the energy minimization, any overlapping atoms have been
730- displaced, and the system is now ready to perform a molecular dynamics
731- simulation using the minimized geometry. Since we want to start from
732- the result of the energy minimization step, we can append commands for
733- the MD simulation to the same input script, \flecmd {initial.lmp}. After
734- the \lmpcmd {minimize} command, add the following lines:
738+ After energy minimization, any overlapping atoms are displaced, and
739+ the system is ready for a molecular dynamics simulation. To continue
740+ from the result of the minimization step, append the MD simulation
741+ commands to the same input script, \flecmd {initial.lmp}. Add the
742+ following lines immediately after the \lmpcmd {minimize} command:
735743\ begin{lstlisting}
736744# PART B - MOLECULAR DYNAMICS
737745# 4) Visualization
738746thermo 50
739747thermo_style custom step temp etotal pe ke press
740748\end {lstlisting }
741749
742- Since LAMMPS reads the input from top to bottom and acts on each line
743- immediately, these lines will be executed \emph {after } the energy
744- minimization. There is no need to re-initialize or re-define the
745- system. The \lmpcmd {thermo} command is called a second time to change
746- the previous value of 10 to a value of 50 as soon as \textit {PART B } of
750+ Since LAMMPS reads inputs from top to bottom, these lines will
751+ be executed \emph {after } the energy minimization. Therefore,
752+ there is no need to re-initialize or re-define the
753+ system. The \lmpcmd {thermo} command is called a second time to
754+ update the output frequency from 10 to 50 as soon as \lmpcmd {PART B} of
747755the simulation starts. In addition, a new \lmpcmd {thermo\_ style}
748- command changes which thermodynamic information is to be printed by LAMMPS
749- during \textit {PART B }. This is done because during molecular
750- dynamics, the system will have a non-zero temperature (\textit {temp })
751- and kinetic energy (\textit {ke }) and it is useful to monitor those .
752- Here, \textit {pe } is the potential energy of the system, such that
753- \textit {pe + ke = etotal }.
756+ command is introduced to specify the thermodynamic information LAMMPS should
757+ print during during \lmpcmd {PART B}. This adjustment is done because during molecular
758+ dynamics, the system exhibits non-zero temperature (\lmpcmd {temp})
759+ and kinetic energy (\lmpcmd {ke}), which are useful to monitor.
760+ The \lmpcmd {pe} keyword represents the potential energy of the system, such that
761+ \lmpcmd {pe} + \lmpcmd {ke} = \lmpcmd { etotal}.
754762
755- Then, let us add a second \lmpcmd {Run} category by adding the following
756- lines to \emph {PART B } of \flecmd {initial.lmp}:
763+ Then, add a second \lmpcmd {Run} category by including the following
764+ lines in \lmpcmd {PART B} of \flecmd {initial.lmp}:
757765\ begin{lstlisting}
758766# 5) Run
759767fix mynve all nve
760768timestep 0.005
761- run 10000
769+ run 50000
762770\end {lstlisting }
763- The \lmpcmd {fix nve} command is used to update the positions and
771+ The \lmpcmd {fix nve} command updates the positions and
764772velocities of the atoms in the group \lmpcmd {all} at every step. The
765773group \lmpcmd {all} is a default group that contains every atom. The
766- last two lines set the value of the \lmpcmd {timestep} and the number of
774+ last two lines specify the value of the \lmpcmd {timestep} and the number of
767775steps for the \lmpcmd {run}, respectively, corresponding to a total
768- duration of 50 time units.
776+ duration of 250 time units.
769777
770- Since there are no other fix commands that change forces or velocities,
771- and since we have periodic boundary conditions in all directions, the MD
772- simulation will be performed in the microcanonical or NVE ensemble.
773- This means the system has no exchange of energy outside the simulation
774- box and the number of particles and the box volume are constant. We can
775- see that there is no equilibrium between potential and kinetic energy
776- yet, as the former is falling while the latter is rising. If you extend
777- the run for more steps (say 100,000), the values for both kinetic and
778- potential energy will plateau (indicating equilibrium), and the total
779- energy should fluctuate around some constant value.
778+ \begin {note }
779+ Since no other fix commands alter forces or velocities,
780+ and periodic boundary conditions are applied in all directions, the MD
781+ simulation will be performed in the microcanonical (NVE) ensemble,
782+ which maintains a constant number of particles and a fixed box volume.
783+ In this ensemble, the system does not exchange energy outside
784+ the simulation box.
785+ \end {note }
786+
787+ Run the simulation using LAMMPS. Initially, there is no equilibrium
788+ between potential and kinetic energy, as the potential energy
789+ decreases while the kinetic energy increases. After approximately
790+ 40\, 000 steps, the values for both kinetic and potential energy
791+ plateau, indicating that the system has reached equilibrium, with
792+ the total energy fluctuating around a certain constant value.
780793
781- Now we change the \lmpcmd {Run} section to:
794+ Now, we change the \lmpcmd {Run} section to (note the shorter run time) :
782795\ begin{lstlisting}
783796# 5) Run
784797fix mynve all nve
785798fix mylgv all langevin 1.0 1.0 0.1 1530917
786799timestep 0.005
787- run 10000
800+ run 15000
788801\end {lstlisting }
789802The new command adds a Langevin thermostat to the atoms in the group
790803\lmpcmd {all}, with a desired target temperature of 1.0 temperature units
791- throughout the run (the two numbers stand for the target at the beginning
804+ throughout the run (the two numbers represent the target temperature at the beginning
792805and at the end of the run, which allows for a temperature ramp if
793806they differ)~\cite {schneider1978molecular }. A \lmpcmd {damping}
794807parameter of 0.1 is used. The \lmpcmd {damping} parameter determines how
@@ -803,17 +816,17 @@ \subsubsection{My first input}
803816independent simulations. In the presence of a thermostat, the MD simulation
804817will be performed in the canonical or NVT ensemble.
805818
806- Run the simulation again using LAMMPS. From the information
819+ Run the simulation again using LAMMPS. From the information
807820printed in the \guicmd {Output} window, one can see that the temperature
808821starts from 0 but rapidly reaches the requested value and
809- stabilizes itself near $ T=1 $ temperature units. One can also see that
822+ stabilizes itself near $ T=1 $ temperature units. One can also observe that
810823the potential energy, $ p_\text {e}$ , rapidly decreases during energy
811824minimization (see also Fig.~\ref {fig:evolution-energy }\, a). After
812825the molecular dynamics simulation starts, $ p_\text {e}$ increases until
813826it reaches a plateau value of about -0.25. The kinetic energy,
814827$ k_\text {e}$ , is equal to zero during energy minimization and then
815- increases during molecular dynamics until it reaches a plateau value of
816- about 1.5 (Fig.~\ref {fig:evolution-energy }\, b).
828+ increases rapibly during molecular dynamics until it reaches
829+ a plateau value of about 1.5 (Fig.~\ref {fig:evolution-energy }\, b).
817830
818831\begin {figure }
819832\centering
@@ -839,7 +852,6 @@ \subsubsection{My first input}
839852\guicmd {Copy dump image command} from the \guicmd {File} menu. This text
840853can be pasted into the into the \lmpcmd {Visualization} section of
841854\lmpcmd {PART B} of the \flecmd {initial.lmp} file. This may look like the following:
842-
843855\ begin{lstlisting}
844856dump viz all image 100 myimage-*.ppm type type &
845857 size 800 800 zoom 1.452 shiny 0.7 fsaa yes &
@@ -853,14 +865,14 @@ \subsubsection{My first input}
853865\lmpcmd {diameter}, respectively. Run the \flecmd {initial.lmp} using
854866LAMMPS again, and a new window named \guicmd {Slide Show} will pop up.
855867It will show each image created by the \lmpcmd {dump image} as it is
856- created and after the simulation is finished (or stopped), the slide
857- show viewer allows you to animate the trajectory by cycling through the
868+ created. After the simulation is finished (or stopped), the slideshow
869+ viewer allows you to animate the trajectory by cycling through the
858870images. The window also allows you to export the animation to a movie
859871(provided the FFMpeg program is installed) and to bulk delete those
860872image files.
861873
862874The rendering of the system can be further adjusted using the many
863- options of the \lmpcmd {dump image} command. The value for the
875+ options of the \lmpcmd {dump image} command. Fir instance, the value for the
864876\lmpcmd {shiny} keyword is used to adjust the shininess of the atoms, the
865877\lmpcmd {box} keyword adds or removes a representation of the box, and
866878the \lmpcmd {view} and \lmpcmd {zoom} keywords adjust the camera (and so
0 commit comments