From 2f6c586f02f36f1fdb23a476aa9ebbce0bd318eb Mon Sep 17 00:00:00 2001 From: "kurchan.jorge" Date: Tue, 8 Dec 2020 12:01:14 +0000 Subject: Update on Overleaf. --- bezout.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'bezout.tex') diff --git a/bezout.tex b/bezout.tex index 62a773a..da55794 100644 --- a/bezout.tex +++ b/bezout.tex @@ -220,10 +220,10 @@ Another instrument we have to study this problem is to compute the following par 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 the number of configurations of a given $(a,H_0)$. This problem may be solved exactly with replicas, {\em but it may also be simulated} -Consider for example the ground-state energy for given $a$, that is, the energy in the limit $\beta_R \rightarrow \infty$ taken after $\beta_I \rightarrow \infty$. For $a=1$ this coincides with the ground-state of the real problem. +Consider for example the ground-state energy for given $a$, that is, the energy in the limit $\beta_R \rightarrow \infty$ taken adjusting $\beta_I$ so that $\Im H_0=0$ . For $a=1$ this coincides with the ground-state of the real problem. \begin{center} - \includegraphics[width=4cm]{phase.pdf} + \includegraphics[width=6cm]{phase.pdf} \end{center} } -- cgit v1.2.3-54-g00ecf