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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-08 11:34:52 +0100 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2020-12-08 11:34:52 +0100 |
commit | 42f261b9c107111adfcdaffb81fbd0d7f478d313 (patch) | |
tree | 7e20359710f3b2302b682f10f2d438f82375ebe3 | |
parent | cc57b929ace1ea45482dda4c63c5f4bf1c9f9945 (diff) | |
parent | d1a667025fb04971f7e03aac4ac4f970bc7a6210 (diff) | |
download | PRR_3_023064-42f261b9c107111adfcdaffb81fbd0d7f478d313.tar.gz PRR_3_023064-42f261b9c107111adfcdaffb81fbd0d7f478d313.tar.bz2 PRR_3_023064-42f261b9c107111adfcdaffb81fbd0d7f478d313.zip |
Merge branch 'master' of https://git.overleaf.com/5fcce4736e7f601ffb7e1484
-rw-r--r-- | bezout.tex | 6 |
1 files changed, 3 insertions, 3 deletions
@@ -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} |