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-rw-r--r--when_annealed.tex24
1 files 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}