diff options
| -rw-r--r-- | frsb_kac-rice.bib | 10 | ||||
| -rw-r--r-- | frsb_kac-rice.tex | 44 | ||||
| -rw-r--r-- | frsb_kac-rice_letter.tex | 12 |
3 files changed, 28 insertions, 38 deletions
diff --git a/frsb_kac-rice.bib b/frsb_kac-rice.bib index 6a2b5e8..b11ad6c 100644 --- a/frsb_kac-rice.bib +++ b/frsb_kac-rice.bib @@ -926,13 +926,3 @@ complexity}, url = {https://doi.org/10.1103%2Fphysrevlett.110.118101}, doi = {10.1103/physrevlett.110.118101} } - -@article{ros2021dynamical, - title={Dynamical instantons and activated processes in mean-field glass models}, - author={Ros, Valentina and Biroli, Giulio and Cammarota, Chiara}, - journal={SciPost Physics}, - volume={10}, - number={1}, - pages={002}, - year={2021} -} diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index 3d59148..f21864f 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -996,7 +996,7 @@ sampling a landscape at high energies, high index saddles may show a sign of replica symmetry breaking when minima or inherent states do not. \begin{figure} - \includegraphics[width=\textwidth]{figs/316_complexity.pdf} + \includegraphics[width=\textwidth]{316_complexity.pdf} \caption{ Complexity of dominant saddles (blue), marginal minima (yellow), and @@ -1011,10 +1011,10 @@ replica symmetry breaking when minima or inherent states do not. \begin{figure} \centering \hspace{-1em} - \includegraphics{figs/316_complexity_contour_1.pdf} + \includegraphics{316_complexity_contour_1.pdf} \hspace{-1em} - \includegraphics{figs/316_complexity_contour_2.pdf} - \raisebox{3em}{\includegraphics[width=0.27\textwidth]{figs/316_complexity_contour_leg.pdf}} + \includegraphics{316_complexity_contour_2.pdf} + \raisebox{3em}{\includegraphics[width=0.27\textwidth]{316_complexity_contour_leg.pdf}} \caption{ Complexity of the $3+16$ model in the energy $E$ and stability $\mu^*$ @@ -1045,7 +1045,7 @@ model stall in a place where minima are exponentially subdominant. \begin{figure} \centering - \includegraphics[width=\textwidth]{figs/316_detail.pdf} + \includegraphics[width=\textwidth]{316_detail.pdf} \caption{ Detail of the `phases' of the $3+16$ model complexity as a function of @@ -1085,14 +1085,14 @@ point in the complexity of high-index saddles in worth further study. \begin{figure} \centering - \includegraphics{figs/316_comparison_q.pdf}\hfill - \includegraphics{figs/316_comparison_rd.pdf}\hfill - \includegraphics{figs/316_comparison_r1.pdf}\hfill - \raisebox{1em}{\includegraphics[width=0.24\textwidth]{figs/316_comparison_legend.pdf}} \vspace{0.5em}\\ - \includegraphics{figs/316_comparison_x.pdf}\hfill - \includegraphics{figs/316_comparison_dd.pdf}\hfill - \includegraphics{figs/316_comparison_d1.pdf}\hfill - \includegraphics{figs/316_comparison_b.pdf} + \includegraphics{316_comparison_q.pdf}\hfill + \includegraphics{316_comparison_rd.pdf}\hfill + \includegraphics{316_comparison_r1.pdf}\hfill + \raisebox{1em}{\includegraphics[width=0.24\textwidth]{316_comparison_legend.pdf}} \vspace{0.5em}\\ + \includegraphics{316_comparison_x.pdf}\hfill + \includegraphics{316_comparison_dd.pdf}\hfill + \includegraphics{316_comparison_d1.pdf}\hfill + \includegraphics{316_comparison_b.pdf} \caption{ Comparison of the saddle point parameters for the $3+16$ model along @@ -1143,7 +1143,7 @@ insight into lower-energy symmetry breaking in more general contexts. \begin{figure} \centering - \includegraphics[width=\textwidth]{figs/24_complexity.pdf} + \includegraphics[width=\textwidth]{24_complexity.pdf} \caption{ The complexity $\Sigma$ of the mixed $2+4$ spin model as a function of distance $\Delta E=E-E_0$ of the ground state. The @@ -1157,7 +1157,7 @@ insight into lower-energy symmetry breaking in more general contexts. \begin{figure} \centering - \includegraphics[width=\textwidth]{figs/24_phases.pdf} + \includegraphics[width=\textwidth]{24_phases.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 @@ -1175,13 +1175,13 @@ goes to zero with finite slopes. \begin{figure} \raggedright - \hspace{1em}\includegraphics{figs/24_opt_qx.pdf} + \hspace{1em}\includegraphics{24_opt_qx.pdf} \hspace{0.5em} - \includegraphics{figs/24_opt_xMax.pdf} + \includegraphics{24_opt_xMax.pdf} \\\vspace{1em} - \includegraphics{figs/24_opt_rx.pdf} + \includegraphics{24_opt_rx.pdf} \hspace{1em} - \includegraphics{figs/24_opt_dx.pdf} + \includegraphics{24_opt_dx.pdf} \caption{ $x_\textrm{max}$ as a function of $E$ for several trajectories of interest, @@ -1284,11 +1284,11 @@ exponentially many stationary points. A cartoon of this picture is shown in Fig. \begin{figure} \centering - \includegraphics{figs/cartoon_RS.pdf} + \includegraphics{cartoon_RS.pdf} \hfill - \includegraphics{figs/cartoon_1RSB.pdf} + \includegraphics{cartoon_1RSB.pdf} \hfill - \includegraphics{figs/cartoon_2RSB.pdf} + \includegraphics{cartoon_2RSB.pdf} \caption{ A cartoon visualizing how to interpret replica symmetry breaking solutions diff --git a/frsb_kac-rice_letter.tex b/frsb_kac-rice_letter.tex index c7ef913..bdcec74 100644 --- a/frsb_kac-rice_letter.tex +++ b/frsb_kac-rice_letter.tex @@ -263,8 +263,8 @@ find the complexity everywhere. This is how the data in what follows was produce \begin{figure} \centering \hspace{-1em} - \includegraphics[width=\columnwidth]{figs/316_complexity_contour_1_letter.pdf} - \includegraphics[width=\columnwidth]{figs/316_detail_letter_legend.pdf} + \includegraphics[width=\columnwidth]{316_complexity_contour_1_letter.pdf} + \includegraphics[width=\columnwidth]{316_detail_letter_legend.pdf} \caption{ Complexity of the $3+16$ model in the energy $E$ and stability $\mu$ @@ -278,8 +278,8 @@ find the complexity everywhere. This is how the data in what follows was produce \begin{figure} \centering - \includegraphics[width=\columnwidth]{figs/316_detail_letter.pdf} - \includegraphics[width=\columnwidth]{figs/316_detail_letter_legend.pdf} + \includegraphics[width=\columnwidth]{316_detail_letter.pdf} + \includegraphics[width=\columnwidth]{316_detail_letter_legend.pdf} \caption{ Detail of the `phases' of the $3+16$ model complexity as a function of @@ -382,8 +382,8 @@ model stall in a place where minima are exponentially subdominant. \begin{figure} \centering - \includegraphics[width=\columnwidth]{figs/24_phases_letter.pdf} - \includegraphics[width=\columnwidth]{figs/24_detail_letter_legend.pdf} + \includegraphics[width=\columnwidth]{24_phases_letter.pdf} + \includegraphics[width=\columnwidth]{24_detail_letter_legend.pdf} \caption{ `Phases' of the complexity for the $2+4$ model in the energy $E$ and stability $\mu$ plane. Solid lines show the prediction of 1RSB complexity, |