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.

中文翻译：

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Fredrickson-Andersen 模型中的动态相位共存

我们分析了 Fredrickson-Andersen (FA) 模型中发生的一阶动态相变。我们构建了一个二维自旋系统，其热力学特性再现了 FA 模型的动态大偏差，我们对该系统进行了数值分析，将我们的结果与有限尺寸缩放理论进行了比较。这使我们能够对 FA 模型的最近结果进行合理化，包括其在相位共存时的敏感性指数差异。我们还讨论了一个简单的界面模型，它定量地再现了 FA 模型在共存时的行为。