Work on letter writing, and addition of new figures sized for the letter.

5 files changed, 20 insertions, 21 deletions

diff --git a/figs/24_phases_letter.pdf b/figs/24_phases_letter.pdf
new file mode 100644
index 0000000..366f49e
--- /dev/null
+++ b/figs/24_phases_letter.pdf
diff --git a/figs/316_complexity_contour_1_letter.pdf b/figs/316_complexity_contour_1_letter.pdf
new file mode 100644
index 0000000..b5aa80d
--- /dev/null
+++ b/figs/316_complexity_contour_1_letter.pdf
diff --git a/figs/316_detail_letter.pdf b/figs/316_detail_letter.pdf
new file mode 100644
index 0000000..4c33457
--- /dev/null
+++ b/figs/316_detail_letter.pdf
diff --git a/figs/316_detail_letter_legend.pdf b/figs/316_detail_letter_legend.pdf
new file mode 100644
index 0000000..756a2c7
--- /dev/null
+++ b/figs/316_detail_letter_legend.pdf
diff --git a/frsb_kac-rice_letter.tex b/frsb_kac-rice_letter.tex
index 801dc8e..5917167 100644
--- a/frsb_kac-rice_letter.tex
+++ b/frsb_kac-rice_letter.tex
@@ -1,5 +1,5 @@
 
-\documentclass[reprint,aps,prl,longbibliography]{revtex4-2}
+\documentclass[reprint,aps,prl,longbibliography,floatfix]{revtex4-2}
 
 \usepackage[utf8]{inputenc} % why not type "Bézout" with unicode?
 \usepackage[T1]{fontenc} % vector fonts plz
@@ -187,7 +187,22 @@ find the complexity everywhere. This is how the data in what follows was produce
 
 \begin{figure}
   \centering
-  \includegraphics[width=\columnwidth]{figs/316_detail.pdf}
+  \hspace{-1em}
+  \includegraphics[width=\columnwidth]{figs/316_complexity_contour_1_letter.pdf}
+
+  \caption{
+    Complexity of the $3+16$ model in the energy $E$ and stability $\mu^*$
+    plane. The right shows a detail of the left. Below the yellow marginal line
+    the complexity counts saddles of increasing index as $\mu^*$ decreases.
+    Above the yellow marginal line the complexity counts minima of increasing
+    stability as $\mu^*$ increases.
+  } \label{fig:2rsb.contour}
+\end{figure}
+
+\begin{figure}
+  \centering
+  \includegraphics[width=\columnwidth]{figs/316_detail_letter.pdf}
+  \includegraphics[width=\columnwidth]{figs/316_detail_letter_legend.pdf}
 
   \caption{
     Detail of the `phases' of the $3+16$ model complexity as a function of
@@ -275,7 +290,7 @@ model stall in a place where minima are exponentially subdominant.
 
 \begin{figure}
   \centering
-  \includegraphics[width=\columnwidth]{figs/24_phases.pdf}
+  \includegraphics[width=\columnwidth]{figs/24_phases_letter.pdf}
   \caption{
     `Phases' of the complexity for the $2+4$ model in the energy $E$ and
     stability $\mu^*$ plane. The region shaded gray shows where the RS solution
@@ -294,25 +309,9 @@ also studied before in equilibrium \cite{Crisanti_2004_Spherical, Crisanti_2006_
 \end{equation}
 In the equilibrium solution, the transition temperature from RS to FRSB is $\beta_\infty=1$, with corresponding average energy $\langle E\rangle_\infty=-0.53125\ldots$.
 
-Along the supersymmetric line, the FRSB solution can be found in full, exact
-functional form.  To treat the FRSB away from this line numerically, we resort to
-finite $k$RSB approximations.  Since we are not trying to find the actual
-$k$RSB solution, but approximate the FRSB one, we drop the extremal condition
-\eqref{eq:cond.x} for $x_1,\ldots,x_k$ and instead set
-\begin{equation}
-  x_i=\left(\frac i{k+1}\right)x_\textrm{max}
-\end{equation}
-and extremize over $x_\textrm{max}$ alone. This dramatically simplifies the
-equations that must be solved to find solutions. In the results that follow, a
-20RSB approximation is used to trace the dominant saddles and marginal minima, while
-a 5RSB approximation is used to trace the (much longer) boundaries of the
-complexity.
-
-Fig.~\ref{fig:frsb.complexity} shows the complexity for this model as a
-function of energy difference from the ground state for several notable
-trajectories in the energy and stability plane. Fig.~\ref{fig:frsb.phases}
+Fig.~\ref{fig:frsb.phases}
 shows these trajectories, along with the phase boundaries of the complexity in
-this plane. Notably, the phase boundary predicted by \eqref{eq:mu.transition}
+this plane. Notably, the phase boundary predicted by a perturbative expansion
 correctly predicts where all of the finite $k$RSB approximations terminate.
 Like the 1RSB model in the previous subsection, this phase boundary is oriented
 such that very few, low energy, minima are described by a FRSB solution, while