Dynamical phase coexistence in the Fredrickson–Andersen model

Robert L. Jack , Takahiro Nemoto , Vivien Lecomte (1)

1 LIPhy - Laboratoire Interdisciplinaire de Physique [Saint Martin d’Hères]

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.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]

Robert L. Jack, Takahiro Nemoto, Vivien Lecomte. Dynamical phase coexistence in the Fredrickson–Andersen model. Journal of Statistical Mechanics: Theory and Experiment, 2020, 2020 (5), pp.053204. ⟨10.1088/1742-5468/ab7af6⟩. ⟨hal-03093421⟩