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Add some references to the method section, and add an abstract draft.

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Janita Willumsen
2023-11-29 18:45:00 +01:00
parent 33c8ace539
commit 5d9984e6c7
4 changed files with 219 additions and 173 deletions
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7
latex/sections/methods.tex
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@@ -18,7 +18,7 @@ In our experiment we will use periodic boundary conditions, meaning all spins
have exactly four nearest neighbors. To find the analytical expressions necessary
for validating our model implementation, we will assume a $2 \times 2$ lattice.
We count the neighboring spins as visualized in Fig. \ref{fig:tikz_boundary},
We count the neighboring spins as visualized in Figure \ref{fig:tikz_boundary},
\begin{figure}
\centering
\begin{tikzpicture}
@@ -58,8 +58,9 @@ We also find the total magnetization of the system, which is given by % Eq. \eqr
\label{eq:magnetization_total}
\end{equation}
In addition, we have to consider the state degeneracy, the number of different
microstates sharing the same value of total magnetization. The derivation of the
analytical values can be found in Appendix % \ref{}
microstates sharing the same value of total magnetization. In the case where we
have two spins oriented up the total energy have two possible values, as shown in \ref{sec:energy_special}.
% The derivation of the analytical values can be found in Appendix \ref{}
\begin{table}[H]
\centering
\begin{tabular}{cccc} % @{\extracolsep{\fill}}