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homogeneize some figure legends
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figures/GCMC.png

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figures/US.png

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lammps-tutorials.tex

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@@ -2766,7 +2766,10 @@ \subsection{Tutorial 5: Reactive silicon dioxide}
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\centering
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\includegraphics[width=0.55\linewidth]{SIO}
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\caption{A portion of the silicon dioxide structure as simulated during
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\hyperref[reactive-silicon-dioxide-label]{Tutorial 5}. Atoms are colored by their charges.}
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\hyperref[reactive-silicon-dioxide-label]{Tutorial 5}. Atoms are colored
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by their charges: the hydrogen atoms appear as small greenish spheres, silicon
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atoms as large orange spheres, and oxygen atoms as blue spheres of intermediate
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size.}
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\label{fig:SIO}
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\end{figure}
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@@ -3124,9 +3127,8 @@ \subsubsection{Decorate the surface}
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\includegraphics[width=\linewidth]{SIO-decorated}
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\caption{Cracked silicon oxide after the addition of hydrogen atoms
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during \hyperref[reactive-silicon-dioxide-label]{Tutorial 5}. The atoms
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are colored by their charges. Dangling oxygen groups appear in greenish, bulk
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Si atoms with a charge of about $1.8~\text{e}$ appear in red/orange, and bulk
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O atoms with a charge of about $-0.9 ~ \text{e}$ appear in blue.}
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are colored by their charges, with the newly added hydrogen atoms appearing as small
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greenish spheres.}
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\label{fig:SIO-decorated}
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\end{figure}
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@@ -3135,10 +3137,11 @@ \subsection{Tutorial 6: Water adsorption in silica}
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\begin{figure}
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\centering
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\includegraphics[width=0.55\linewidth]{GCMC}
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\caption{Water molecules adsorbed in cracked silica (SiO$_2$) material as simulated
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during \hyperref[gcmc-silica-label]{Tutorial 6}. Water molecules are colored in
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cyan and white, oxygen (O) atoms from SiO$_2$ in red, and silicon (Si) atoms in yellow.}
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\includegraphics[width=0.6\linewidth]{GCMC}
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\caption{Water molecules (H$_2$O) adsorbed in cracked silica (SiO$_2$) material as simulated
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during \hyperref[gcmc-silica-label]{Tutorial 6}. The oxygen atoms of the water
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molecules are represented in cyan, the silicon atoms in yellow, and the oxygen
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atoms of the solid in red.}
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\label{fig:GCMC}
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\end{figure}
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@@ -3208,11 +3211,6 @@ \subsubsection{Generation of the silica block}
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thermo_style custom step temp etotal vol density
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\end{lstlisting}
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% SG
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% FROM . Chem. Phys. 97, 2682–2689 (1992)
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% https://doi.org/10.1063/1.463056
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% 3 steps only. Say that its too fast to be correct. Show density.
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% Show rdf instead of box size?
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Finally, let us implement the annealing procedure which
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consists of three consecutive runs. This procedure was inspired
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by Ref.\,\cite{della1992molecular}. First, to melt the system,
@@ -3255,12 +3253,10 @@ \subsubsection{Generation of the silica block}
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\begin{figure}
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\centering
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\includegraphics[width=\linewidth]{GCMC-dimension}
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\caption{a) Temperature $T$ as a function of time $t$
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during the annealing of the silica system
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from \hyperref[gcmc-silica-label]{Tutorial 6}.
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b) System density $\rho$ during
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annealing. The vertical dashed lines mark the transition between the different
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phases of the simulation.}
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\caption{a) Temperature $T$ as a function of time $t$ during the annealing
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of the silica system from \hyperref[gcmc-silica-label]{Tutorial 6}.
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b) System density $\rho$ during the annealing process. The vertical dashed lines
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mark the transition between the different phases of the simulation.}
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\label{fig:GCMC-dimension}
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\end{figure}
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@@ -3269,7 +3265,7 @@ \subsubsection{Generation of the silica block}
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\includegraphics[width=0.9\linewidth]{GCMC-generate}
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\caption{Amorphous silica ($\text{SiO}_2$) simulated
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during \hyperref[gcmc-silica-label]{Tutorial 6}. Silicon atoms are
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represented in yellow, and the oxygen atoms in red.}
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represented in yellow, and oxygen atoms in red.}
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\label{fig:GCMC-snapshot}
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\end{figure}
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@@ -3313,16 +3309,17 @@ \subsubsection{Cracking the silica}
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\end{lstlisting}
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The \lmpcmd{fix nvt} command is employed to control the temperature of the system.
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As observed from the generated images, the atoms
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progressively adjust to the changing box dimensions. At some point, bonds begin to break,
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leading to the appearance of dislocations (Fig.~\ref{fig:GCMC-cracked}).
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progressively adjust to the changing box dimensions. At some point,
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bonds begin to break, leading to the appearance of
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dislocations (Fig.~\ref{fig:GCMC-cracked}).
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\begin{figure}
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\centering
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\includegraphics[width=\linewidth]{GCMC-cracked}
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\caption{Block of silica from \hyperref[gcmc-silica-label]{Tutorial 6}
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after deformation. Silicon atoms are represented in yellow,
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and the oxygen atoms in red. The crack was induced by the
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imposed deformation of the box along the $x$-axis.}
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and oxygen atoms in red. The crack was induced by the
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imposed deformation of the box along the $x$-axis (i.e.,~the horizontal axis).}
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\label{fig:GCMC-cracked}
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\end{figure}
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@@ -3332,7 +3329,7 @@ \subsubsection{Adding water}
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the Monte Carlo method in the grand canonical ensemble (GCMC). In short, the
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system is placed into contact with a virtual reservoir of a given chemical potential
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$\mu$, and multiple attempts to insert water molecules at random positions are
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made. Each attempt is either accepted or rejected based on energy considerations.
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made. Each attempt is either accepted or rejected based on energy considerations.
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For further details, please refer to classical textbooks like Ref.~\citenum{frenkel2023understanding}.
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\paragraph{Using hydrid potentials}
@@ -3539,7 +3536,7 @@ \subsubsection{Adding water}
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\begin{figure}
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\centering
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\includegraphics[width=\linewidth]{GCMC-number}
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\caption{Number of water molecules $N_\text{H2O}$ as a function of the time $t$
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\caption{Number of water molecules, $N_\text{H2O}$, as a function of time, $t$,
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as extracted from \hyperref[gcmc-silica-label]{Tutorial 6}.}
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\label{fig:GCMC-number}
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\end{figure}
@@ -3568,10 +3565,10 @@ \subsection{Tutorial 7: Free energy calculation}
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\begin{figure}
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\centering
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\includegraphics[width=0.55\linewidth]{US}
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\caption{Atoms as simulated during \hyperref[umbrella-sampling-label]{Tutorial 7}.
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Only the atom colored in pink feels the additional force used for the umbrella
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sampling method.}
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\includegraphics[width=0.7\linewidth]{US}
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\caption{System simulated during \hyperref[umbrella-sampling-label]{Tutorial 7}.
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The pink atom explores the energetically unfavorable central area of the simulation
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box thanks to the additional potential imposed during umbrella sampling.}
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\label{fig:US}
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\end{figure}
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@@ -3747,8 +3744,8 @@ \subsubsection{Method 1: Free sampling}
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\includegraphics[width=\linewidth]{US-density-evolution}
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\caption{Evolution of the number of atoms $n_\text{center}$ in the central
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region \lmpcmd{mymes} as a function of time $t$ during equilibration. The dark line
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is $n_\text{center} = 22 \exp(-t/160)+5$ and serves as a guide for the eyes. Here, $U_0 = 0.36~\text{kcal/mol}$,
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$\delta = 0.5~\text{\AA{}}$, and $x_0 = 5~\text{\AA{}}$.}
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is $n_\text{center} = 22 \exp(-t/160)+5$ and serves as a guide for the eyes.
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Here, $U_0 = 0.36~\text{kcal/mol}$, $\delta = 1.0~\text{\AA{}}$, and $x_0 = 10~\text{\AA{}}$.}
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\label{fig:US-density-evolution}
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\end{figure}
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@@ -3962,9 +3959,10 @@ \subsubsection{Method 2: Umbrella sampling}
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\begin{figure}
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\centering
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\includegraphics[width=\linewidth]{US-free-energy}
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\caption{The potential $U$ as a function of $x$, measured using umbrella sampling
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(blue disks), is compared to the imposed potential given in Eq.~\eqref{eq:U}
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(dark line). Parameters are $U_0 = 2.38~\text{kcal/mol}$, $\delta = 1.0~\text{\AA{}}$,
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\caption{The potential $U$ as a function of $x$, measured using umbrella
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sampling during \hyperref[umbrella-sampling-label]{Tutorial 7} (blue disks),
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is compared to the imposed potential given in Eq.~\eqref{eq:U}
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(dark line). Parameters are $U_0 = 2.38~\text{kcal/mol}$, $\delta = 1.0~\text{\AA{}}$,
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and $x_0 = 10~\text{\AA{}}$.}
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\label{fig:US-freenergy}
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\end{figure}

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