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

V. Lecomte (1) , T. Bodineau (2) , C. Toninelli (1)

1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires
2 DMA - Département de Mathématiques et Applications - ENS Paris

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.

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

V. Lecomte, T. Bodineau, C. Toninelli. Finite size scaling of the dynamical free-energy in a kinetically constrained model. Journal of Statistical Physics, 2012, 147 (1), pp.1-17. ⟨10.1007/s10955-012-0458-1⟩. ⟨hal-00704370⟩