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arXiv · 1912.02465

Dynamical phase coexistence in the Fredrickson-Andersen model

Robert L. Jack·Takahiro Nemoto·Vivien Lecomte
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Abstract

We analyse a first-order dynamical phase transition that takes place in the Fredrickson--Andersen (FA) model. We construct a two-dimensional spin system whose thermodynamic properties reproduce the dynamical large deviations of the FA model and we analyse this system numerically, comparing our results with finite-size scaling theory. This allows us to rationalise recent results for the FA model, including the exponential divergence of its susceptibility at phase coexistence. We also discuss a simple interfacial model that reproduces quantitatively the behaviour of the FA model at coexistence.

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Robert L. Jack, Takahiro Nemoto, Vivien Lecomte. 2019-12-05. Dynamical phase coexistence in the Fredrickson-Andersen model. https://doi.org/10.1088/1742-5468%2Fab7af6

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