Merge branch 'janitaws/latex' of github.uio.no:FYS3150-G2-2023/Project-4 into janitaws/latex
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@ -108,7 +108,7 @@ assessment output can be found in Appendix \ref{sec:additional_results} in Figur
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balance, compared to the OpenMP load balance. The master process gatheres all the
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balance, compared to the OpenMP load balance. The master process gatheres all the
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data using blocking communication, resulting in the other processes waiting. This
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data using blocking communication, resulting in the other processes waiting. This
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results in one process, the master, having to work more. The OpenMP load balance
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results in one process, the master, having to work more. The OpenMP load balance
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score is very good, suggesting the threads are not left idle for long periods.
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score is very good, suggesting that the threads are not left idle for long time periods.
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In Figure \ref{fig:phase_energy_10M}, for the larger lattices we observe a sharper
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In Figure \ref{fig:phase_energy_10M}, for the larger lattices we observe a sharper
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increase in $\langle \epsilon \rangle$ in the temperature range $T \in [2.25, 2.35]$. %]
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increase in $\langle \epsilon \rangle$ in the temperature range $T \in [2.25, 2.35]$. %]
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@ -187,7 +187,7 @@ of the critical temperature for a lattice of infinite size. The estimated critic
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is $T_{c}^{*}(L = \infty) \approx 2.2693 J/k_{B}$. We also compared the
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is $T_{c}^{*}(L = \infty) \approx 2.2693 J/k_{B}$. We also compared the
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estimate with the analytical solution, the relative error of our estimate is
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estimate with the analytical solution, the relative error of our estimate is
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\begin{equation*}
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\begin{equation*}
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\text{Relative error} = \frac{T_{c}^{*} - T_{c \text{ analytical}}}{T_{c \text{ analytical}}} \approx 5.05405 \cdot 10^{-5} J/k_{B}
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\text{Relative error} = \frac{T_{c}^{*} - T_{c}}{T_{c}} \approx 5.05405 \cdot 10^{-5} J/k_{B}
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\end{equation*}
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\end{equation*}
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\end{document}
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\end{document}
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