diff --git a/latex/sections/results.tex b/latex/sections/results.tex index 4d3648f..773bcec 100644 --- a/latex/sections/results.tex +++ b/latex/sections/results.tex @@ -74,7 +74,8 @@ of Var$(\epsilon) = 0.0001$. % \begin{figure}[H] \centering \includegraphics[width=\linewidth]{../images/pd_estimate_1_0.pdf} - \caption{Distribution of values of energy per spin, when temperature is $T = 1.0 J / k_{B}$} + \caption{Distribution of values of energy per spin, when temperature is $T = 1.0 J / k_{B}$. + The green line shows the normal curve $\mathcal{N}(\langle \epsilon \rangle, \text{Var}(\epsilon))$.} \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 +83,8 @@ centered around the expectation value $\langle \epsilon \rangle = -1.2367$. % \begin{figure}[H] \centering \includegraphics[width=\linewidth]{../images/pd_estimate_2_4.pdf} - \caption{Distribution of values of energy per spin, when temperature is $T = 2.4 J / k_{B}$} + \caption{Distribution of values of energy per spin, when temperature is $T = 2.4 J / k_{B}$. + The green line shows the normal curve $\mathcal{N}(\langle \epsilon \rangle, \text{Var}(\epsilon))$.} \label{fig:histogram_2_4} \end{figure} % However, we observed a higher variance of Var$(\epsilon) = 0.0202$. When the temperature