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

TL;DR

This paper investigates how the finite size of a system affects the large deviation function of activity in a one-dimensional kinetically constrained model, using numerical methods and an effective Brownian interface model.

Contribution

It provides a detailed analysis of finite size effects on the dynamical free-energy in the Fredrickson-Andersen model, introducing an effective boundary interface description.

Findings

Finite size corrections match the Brownian interface model.

Numerical results agree with theoretical predictions.

Insights into dynamical phase coexistence regimes.

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.