Finite size scaling of the dynamical free-energy in a kinetically constrained model

Abstract

We determine the finite size corrections to the large deviation function of the activity in a kinetically constrained model (the Fredrickson-Andersen model in one dimension), in the regime of dynamical phase coexistence. Numerical results agree with an effective model where the boundary between active and inactive regions is described by a Brownian interface.

Version 2: references added, section 1.1 and 2.1 extended. Accepted for publication in Journal of Statistical Physics

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