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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-08 11:34:52 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-08 11:34:52 +0100
commit42f261b9c107111adfcdaffb81fbd0d7f478d313 (patch)
tree7e20359710f3b2302b682f10f2d438f82375ebe3
parentcc57b929ace1ea45482dda4c63c5f4bf1c9f9945 (diff)
parentd1a667025fb04971f7e03aac4ac4f970bc7a6210 (diff)
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Merge branch 'master' of https://git.overleaf.com/5fcce4736e7f601ffb7e1484
-rw-r--r--bezout.tex6
1 files changed, 3 insertions, 3 deletions
diff --git a/bezout.tex b/bezout.tex
index 898696c..3032076 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -213,12 +213,12 @@ for $\delta=\kappa a^{-(p-2)}$.
Another instrument we have to study this problem is to compute the following partition function:
-\begin{equation}
+\begin{eqnarray}
Z= \int \Pi_i dx_i dy_i \; e^{-\beta_{R} \Re H_0 -\beta_I \Im H_0}
\delta(\sum_i z_i^2-N) \delta\left(\sum_i y_i^2 -N \frac{a-1}{2}\right)
-\end{equation}
+\end{eqnarray}
The energy $\Re H_0, \Im H_0$ are in a one-to one relation with the temperatures $\beta_R,\beta_I$. The entropy $S(a,H_0) = \ln Z+ +\beta_{R} \langle \Re H_0 \rangle +\beta_I \langle \Im H_0\rangle$
-is the logarithm of thnumber of configurations of a given
+is the logarithm of the number of configurations of a given $(a,H_0)$.
}
\bibliographystyle{apsrev4-2}