From 63a3359205682375d9c21863afb2c3672f6dd2c4 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Thu, 24 Aug 2023 12:02:52 +0200
Subject: Plot caption tweaks.

---
 when_annealed.tex | 24 ++++++++++++------------
 1 file changed, 12 insertions(+), 12 deletions(-)

diff --git a/when_annealed.tex b/when_annealed.tex
index 20a94e7..b65f4d0 100644
--- a/when_annealed.tex
+++ b/when_annealed.tex
@@ -488,21 +488,21 @@ extended from $E_{\oldstylenums1\textsc{rsb}}^+$.
 
   \caption{
     Examples of $3+14$ models where the critical point
-    $E_{\oldstylenums1\textsc{rsb}}^-$ is and is not the lower limit
+    $E_{\oldstylenums1\textsc{rsb}}^-$ (Top) is the lower bound and (Bottom) is not the lower bound
     of energies where \textsc{rsb} saddles are found. In both plots the red dot
-    shows $E_{\oldstylenums1\textsc{rsb}}^-$, while the solid red lines shows
-    the transition boundary with the \textsc{rs} complexity. The dashed black
+    shows $E_{\oldstylenums1\textsc{rsb}}^-$, while the solid red lines show
+    the transition boundary the \textsc{rs} and {\oldstylenums1\textsc{rsb}} complexity. The dashed black
     line shows the \textsc{rs} zero complexity line, while the solid black line
     shows the {\oldstylenums1}\textsc{rsb} zero complexity line. The dashed red
-    lines show where a nonphysical {\oldstylenums1\textsc{rsb}} phase appears
-    (the spinodal of that phase). The dotted red line shows an abrupt phase
-    transition between different {\oldstylenums1}\textsc{rsb} phases.
-    \textbf{Top:} $\lambda=0.67$. Here the end of the transition line that
-    begins at $E_{\oldstylenums1\textsc{rsb}}^+$ does not match
-    $E_{\oldstylenums1\textsc{rsb}}^-$ but terminates at higher energies.
-    $E_{\oldstylenums1\textsc{rsb}}^-$ still corresponds with the lower bound.
-    \textbf{Bottom:} $\lambda=0.69$. Here the end of the transition line that
-    begins at $E_{\oldstylenums1\textsc{rsb}}^+$ terminates at lower energies
+    lines show the spinodals of the {\oldstylenums1\textsc{rsb}} phases. The
+    dotted red line shows a discontinuous phase transition between different
+    {\oldstylenums1}\textsc{rsb} phases. \textbf{Top:} $\lambda=0.67$.
+    The transition line that begins at
+    $E_{\oldstylenums1\textsc{rsb}}^+$ does not intersect
+    $E_{\oldstylenums1\textsc{rsb}}^-$ but terminates at a higher energy.
+    $E_{\oldstylenums1\textsc{rsb}}^-$ is a lower bound on the energy of \textsc{rsb} saddles. There are two competing {\oldstylenums1\textsc{rsb}} phases among saddles.
+    \textbf{Bottom:} $\lambda=0.69$. The transition line that
+    begins at $E_{\oldstylenums1\textsc{rsb}}^+$ terminates at a lower energy
     than $E_{\oldstylenums1\textsc{rsb}}^-$, and therefore its terminus defines
     the lower bound.
   } \label{fig:order}
-- 
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