latex/sections/methods.tex

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Janita Willumsen 2023-11-17 12:17:25 +01:00
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@ -113,7 +113,7 @@ can be found in table \ref{tab:units}.
\end{equation}
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\begin{equation}\label{eq:magnetization_total_second}
\langle M^{2} \rangle = frac{8(e^{8 \beta J} + 1)}{\cosh(8 \beta J) + 3}
\langle M^{2} \rangle = \frac{8(e^{8 \beta J} + 1)}{\cosh(8 \beta J) + 3}
\end{equation}
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\begin{equation}\label{eq:specific_heat_capacity}
@ -121,7 +121,7 @@ can be found in table \ref{tab:units}.
\end{equation}
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\begin{equation}\label{eq:sesceptibility}
\chi = \frac{4}{N k_{\text{B} T}} \frac{(3e^{8 \beta J} + e^{-8 \beta J} + 3)}{(\cosh(8 \beta J) + 3)^{2}}
\chi = \frac{4}{N k_{\text{B}} T} \frac{(3e^{8 \beta J} + e^{-8 \beta J} + 3)}{(\cosh(8 \beta J) + 3)^{2}}
\end{equation}
The derivation of analytical expressions can be found in appendix \ref{sec:analytical_expressions}.