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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2018-09-25 00:22:28 -0400 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2018-09-25 00:22:28 -0400 |
| commit | 7fe4545d9aa22abc9a7b2b8486f033cac2cec041 (patch) | |
| tree | 372f8192d9f991784a28436e87dfe7873a557f4b | |
| parent | 3ef6f5a006865c6ea87455bd698d5d2aa7b3f46f (diff) | |
| download | PRE_98_063306-7fe4545d9aa22abc9a7b2b8486f033cac2cec041.tar.gz PRE_98_063306-7fe4545d9aa22abc9a7b2b8486f033cac2cec041.tar.bz2 PRE_98_063306-7fe4545d9aa22abc9a7b2b8486f033cac2cec041.zip | |
spacing tweak on detailed balance equation
| -rw-r--r-- | monte-carlo.tex | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/monte-carlo.tex b/monte-carlo.tex index 2bc29ee..a3e18a4 100644 --- a/monte-carlo.tex +++ b/monte-carlo.tex @@ -231,7 +231,7 @@ C\subset E$ is related to the probability of the reverse process $P(\set{s'}\to\ &=\frac{f_{m_0}(r\mid\set s)}{f_{m_0}(r^{-1}\mid\set s)}\prod_{\{i,j\}\in C}\frac{p_r(s_i,s_j)}{p_{r^{-1}}(s_i',s_j')}\prod_{\{i,j\}\in\partial C}\frac{1-p_r(s_i,s_j)}{1-p_{r^{-1}}(s'_i,s'_j)} - =\prod_{\{i,j\}\in\partial + =\!\!\!\!\prod_{\{i,j\}\in\partial C}e^{\beta(\J(s_i',s_j')-\J(s_i,s_j))} =\frac{e^{-\beta\H(\set{s'})}}{e^{-\beta\H(\set s)}}, \end{aligned} |