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authorJaron Kent-Dobias <jaron@kent-dobias.com>2021-10-26 12:33:22 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2021-10-26 12:33:22 +0200
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Added some outlook talk.
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\section{Outlook}
-The successful smooth description of the Ising free energy produced in part by analytically continuing the singular imaginary part of the metastable free energy inspires an extension of this work: a smooth function that captures the universal scaling \emph{through the coexistence line and into the metastable phase}. Indeed, the tools exist to produce this: by writing $t=R(1-\theta^2)(1-(\theta/\theta_m)^2)$ for some $\theta_m>\theta_0$, the invariant scaling combination
+We have introduced explicit approximate functions forms for the two-dimensional
+Ising universal scaling function in the relevant variables. These functions are
+smooth to all orders, include the correct singularities, and appear to converge
+exponentially to the function as they are fixed to larger polynomial order.
+
+The successful smooth description of the Ising free energy produced in part by
+analytically continuing the singular imaginary part of the metastable free
+energy inspires an extension of this work: a smooth function that captures the
+universal scaling \emph{through the coexistence line and into the metastable
+phase}. Indeed, the tools exist to produce this: by writing
+$t=R(1-\theta^2)(1-(\theta/\theta_m)^2)$ for some $\theta_m>\theta_0$, the
+invariant scaling combination
\begin{acknowledgments}
The authors would like to thank Tom Lubensky, Andrea Liu, and Randy Kamien