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18cd2dc165b6bc59dbc8ecd26844b4d8a13cd59f..7443f4538d35a278c001d24e7e00e77af1bdf6c5 100644 GIT binary patch delta 23 ecmeC&%GSA+tziqJ#0*wT6GIcz?Xoi%bC>{Qa|cxb delta 23 ecmeC&%GSA+tziqJ#0*wb69Yqo?Xoi%bC>{Q0|!U| diff --git a/latex/sections/appendices.tex b/latex/sections/appendices.tex index db8330f..80875ae 100644 --- a/latex/sections/appendices.tex +++ b/latex/sections/appendices.tex @@ -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} diff --git a/latex/sections/results.tex b/latex/sections/results.tex index 29c91ba..e3046b6 100644 --- a/latex/sections/results.tex +++ b/latex/sections/results.tex @@ -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? diff --git a/python_scripts/phase_transition.py b/python_scripts/phase_transition.py index fcba2ba..fe3d620 100644 --- a/python_scripts/phase_transition.py +++ b/python_scripts/phase_transition.py @@ -95,7 +95,7 @@ def plot_phase_transition_alt(indir, outdir): ax1.legend(title="Lattice size", loc="upper right") ax2.set_xlabel(r"T $(J/k_{B})$") - ax2.set_ylabel(r"$\langle |m| \rangle$ $(unitless)$") + ax2.set_ylabel(f"$\\langle |m| \\rangle$ (unitless)") ax2.legend(title="Lattice size", loc="upper right") ax3.set_xlabel(r"T $(J/k_{B})$") @@ -201,7 +201,7 @@ def plot_phase_transition(indir, outdir): ax1.legend(title="Lattice size", loc="upper right") ax2.set_xlabel(r"T $(J/k_{B})$") - ax2.set_ylabel(r"$\langle |m| \rangle$ $(unitless)$") + ax2.set_ylabel(r"$\langle |m| \rangle$ (unitless)") ax2.legend(title="Lattice size", loc="upper right") ax3.set_xlabel(r"T $(J/k_{B})$") diff --git a/review.md b/review.md index 76853ec..5b337e7 100644 --- a/review.md +++ b/review.md @@ -84,6 +84,8 @@ I suggest we leave it out for now, I'll comment it out in case we want to use it [x] 89: onordered => unordered [ ] 97: More accurately, we generated 10M samples per temperature point. True, so "...$10$ million samples of spin configurations for lattices..." => "...$10$ million samples of spin configurations, per temperature, for lattices..." +[ ] 77: Approve change "Histogram $T = 1.0 J / k_{B}$" => "Distribution of values of energy per spin, when temperature is $T = 1.0 J / k_{B}$" +[ ] 85: Approve change "Histogram $T = 2.4 J / k_{B}$" => "Distribution of values of energy per spin, when temperature is $T = 1.0 J / k_{B}$" [x] 100: Should be that the program allocated, so that the reader understands that it does the division automatically. I agree! [x] 101: thread => threads @@ -91,6 +93,7 @@ I agree! So instead of "We ran a profiler" it should be "We used a profiler"? Could you suggest a way of formulating the sentence so that the info is correct? [ ] 106: was => were My previous comment might make this unnecessary? +[ ] 113: Included description of variables in caption [x] 116: deacrese => decrease [x] 117: "suggesting the system ..." => "suggesting that the system ...". [x] 118: increase => increases. "The system energy" is singular. @@ -113,3 +116,5 @@ Haha, ofc we did! I agree, that sound a lot better! I just ended up wtiting something somewhat descriptive in lack of words. [x] 130: he => the Also, I changed the Eq. => to Equation + +[x] 188: General, Included captions for figures in section