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Update captions and labels.

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Janita Willumsen
2023-12-04 19:55:45 +01:00
parent df699e0ea0
commit 0ceeb7a273
24 changed files with 17 additions and 12 deletions
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8
latex/sections/appendices.tex
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@@ -192,13 +192,13 @@ expected magnetization per spin.
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/phase_transition/fox/wide/10M/energy.pdf}
\caption{$\langle \epsilon \rangle$ for $T \in [2.1, 2.4]$, $10^{6}$ MC cycles.}
\caption{Expected energy per spin $\langle \epsilon \rangle$ for temperatures $T \in [2.1, 2.4]$, and $10^{6}$ MC cycles.}
\label{fig:phase_energy_1M}
\end{figure} %
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/phase_transition/fox/wide/10M/magnetization.pdf}
\caption{$\langle |m| \rangle$ for $T \in [2.1, 2.4]$, $10^{6}$ MC cycles.}
\caption{Expected magnetization per spin $\langle |m| \rangle$ for temperatures $T \in [2.1, 2.4]$, and $10^{6}$ MC cycles.}
\label{fig:phase_magnetization_1M}
\end{figure} %
In Figure \ref{fig:phase_heat_1M} we show heat capacity, and in Figure \ref{fig:phase_susceptibility_1M}
@@ -206,13 +206,13 @@ the magnetic susceptibility.
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/phase_transition/fox/wide/10M/heat_capacity.pdf}
\caption{$C_{V}$ for $T \in [2.1, 2.4]$, $10^{6}$ MC cycles.}
\caption{Heat capacity $C_{V}$ for temperatures $T \in [2.1, 2.4]$, and $10^{6}$ MC cycles.}
\label{fig:phase_heat_1M}
\end{figure} %
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/phase_transition/fox/wide/10M/susceptibility.pdf}
\caption{$\chi$ for $T \in [2.1, 2.4]$, $10^{6}$ MC cycles.}
\caption{Magnetic susceptibility $\chi$ for temperatures $T \in [2.1, 2.4]$, and $10^{6}$ MC cycles.}
\label{fig:phase_susceptibility_1M}
\end{figure}

12
latex/sections/results.tex
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@@ -74,7 +74,7 @@ of Var$(\epsilon) = 0.0001$. %
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/pd_estimate_1_0.pdf}
\caption{Histogram $T = 1.0 J / k_{B}$}
\caption{Distribution of values of energy per spin, when temperature is $T = 1.0 J / k_{B}$}
\label{fig:histogram_1_0}
\end{figure} %
In Figure \ref{fig:histogram_2_4}, for $T_{2}$, the samples of energy per spin is
@@ -82,7 +82,7 @@ centered around the expectation value $\langle \epsilon \rangle = -1.2370$. %
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/pd_estimate_2_4.pdf}
\caption{Histogram $T = 2.4 J / k_{B}$}
\caption{Distribution of values of energy per spin, when temperature is $T = 2.4 J / k_{B}$}
\label{fig:histogram_2_4}
\end{figure} %
However, we observed a higher variance of Var$(\epsilon) = 0.0203$. When the temperature
@@ -110,7 +110,7 @@ increase in $\langle \epsilon \rangle$ in the temperature range $T \in [2.25, 2.
\begin{figure}
\centering
\includegraphics[width=\linewidth]{../images/phase_transition/fox/wide/10M/energy.pdf}
\caption{$\langle \epsilon \rangle$ for $T \in [2.1, 2.4]$, $10^7$ MC cycles.}
\caption{Expected energy per spin $\langle \epsilon \rangle$ for temperatures $T \in [2.1, 2.4]$, and $10^7$ MC cycles.}
\label{fig:phase_energy_10M}
\end{figure} %
We observe a decrease in $\langle |m| \rangle$ for the same temperature range in
@@ -120,7 +120,7 @@ however, there is a loss of magnetization close to the critical temperature.
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/phase_transition/fox/wide/10M/magnetization.pdf}
\caption{$\langle |m| \rangle$ for $T \in [2.1, 2.4]$, $10^7$ MC cycles.}
\caption{Expected magnetization per spin $\langle |m| \rangle$ for temperatures $T \in [2.1, 2.4]$, and $10^7$ MC cycles.}
\label{fig:phase_magnetization_10M}
\end{figure} %
In Figure \ref{fig:phase_heat_10M}, we observe an increase in heat capacity in the
@@ -129,7 +129,7 @@ value of heat capacity when the lattice size increase.
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/phase_transition/fox/wide/10M/heat_capacity.pdf}
\caption{$C_{V}$ for $T \in [2.1, 2.4]$, $10^7$ MC cycles.}
\caption{Heat capacity $C_{V}$ for temperatures $T \in [2.1, 2.4]$, and $10^7$ MC cycles.}
\label{fig:phase_heat_10M}
\end{figure} %
The magnetic susceptibility in Figure \ref{fig:phase_susceptibility_10M}, shows
@@ -139,7 +139,7 @@ sharper when we increase lattice size, we are moving closer to the critical temp
\begin{figure}[H]
\centering
\includegraphics[width=\linewidth]{../images/phase_transition/fox/wide/10M/susceptibility.pdf}
\caption{$\chi$ for $T \in [2.1, 2.4]$, $10^7$ MC cycles.}
\caption{Magnetic susceptibility $\chi$ for temperatures $T \in [2.1, 2.4]$, and $10^7$ MC cycles.}
\label{fig:phase_susceptibility_10M}
\end{figure} %
% Add something about the correlation length?