From 2f6c586f02f36f1fdb23a476aa9ebbce0bd318eb Mon Sep 17 00:00:00 2001
From: "kurchan.jorge" <kurchan.jorge@gmail.com>
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

