From 5e836ed49c669644b9b36eb02d0774b9d6535f60 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Fri, 25 Mar 2022 12:00:10 +0100 Subject: Added new figure. --- figs/obuchi_3-spin.pdf | Bin 0 -> 10264 bytes stokes.tex | 12 ++++++++++++ 2 files changed, 12 insertions(+) create mode 100644 figs/obuchi_3-spin.pdf diff --git a/figs/obuchi_3-spin.pdf b/figs/obuchi_3-spin.pdf new file mode 100644 index 0000000..920681e Binary files /dev/null and b/figs/obuchi_3-spin.pdf differ diff --git a/stokes.tex b/stokes.tex index 4b28f39..51b0653 100644 --- a/stokes.tex +++ b/stokes.tex @@ -1517,6 +1517,18 @@ constructed by continuing the series for individual thimbles to higher powers in $\beta$, which would be equivalent to allowing non-constant terms in the Jacobian over the thimble. +\begin{figure} + \hfill\includegraphics{figs/obuchi_3-spin.pdf} + \caption{ + Phases of the 3-spin model in the complex-$\beta$, following Obuchi \& + Takahashi \cite{Obuchi_2012_Partition-function}. The phase P2 contains a + nonzero density of zeros of the partition function, while the `spin-glass' + phase SG does not. Analytic continuation via thimbles correctly predicts + the boundary between these two phases when $|\beta|\gg1$ to be + $\operatorname{Re}\beta=-\epsilon_0$, shown with a dashed line. + } \label{fig:obuchi_3-spin} +\end{figure} + \section{The $p$-spin spherical models: numerics} -- cgit v1.2.3-70-g09d2