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| -rw-r--r-- | when_annealed.tex | 24 |
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} |