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corrected some typos
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lammps-tutorials.tex

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@@ -2453,7 +2453,7 @@ \subsubsection{System preparation}
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group fluid union H2O ions
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\end{lstlisting}
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The \flecmd{groups.inc} file also defines the \lmpcmd{walltop} and \lmpcmd{wallbot}
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groups, which contain the WALL atoms located in the $z > 0$ and $z < 0$ regions, respectively::
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groups, which contain the WALL atoms located in the $z > 0$ and $z < 0$ regions, respectively:
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\begin{lstlisting}
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group wall type WALL
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region rtop block INF INF INF INF 0 INF
@@ -2834,7 +2834,7 @@ \subsubsection{Imposed shearing}
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\cite{gravelle2021violations}. Here, the shear rate is
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approximately $\dot{\gamma} = 20 \cdot 10^9\,\text{s}^{-1}$ (Fig.~\ref{fig:NANOSHEAR-profiles}),
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the average force on each wall is given by \lmpcmd{f\_mysf1[1]} and \lmpcmd{f\_mysf2[1]}
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and is approximately $2.7\,\mathrm{kcal/mol/\AA}$ in magnitude. Using a surface area
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and is approximately $2.7\,\mathrm{kcal/mol/\AA{}}$ in magnitude. Using a surface area
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for the walls of $A = 6 \cdot 10^{-18}\,\text{m}^2$, one obtains an estimate for
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the shear viscosity for the confined fluid of $\eta = 3.1\,\text{mPa.s}$ using Eq.~\eqref{eq:eta}.
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@@ -4020,7 +4020,7 @@ \subsubsection{Method 2: Umbrella sampling}
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The \lmpcmd{spring} command imposes the additional harmonic potential $V$ with
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the previously defined spring constant $k$. The center of the harmonic
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potential, $x_\text{des}$, successively takes values
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from $-28\,\text{\AA}$ to $28\,\text{\AA}$. For each value of $x_\text{des}$,
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from $-28\,\text{\AA{}}$ to $28\,\text{\AA{}}$. For each value of $x_\text{des}$,
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an equilibration step of 40\,ps is performed, followed by a step
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of 400\,ps during which the position of the particle of
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type 2 along the $x$-axis, $x_\text{ave}$, is saved in data files named \flecmd{umbrella-sampling.i.dat},

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