Finite size scaling of the dynamical free-energy in a kinetically constrained model
Statistical Mechanics
2012-07-03 v2 Mathematical Physics
math.MP
Adaptation and Self-Organizing Systems
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.
Keywords
Cite
@article{arxiv.1111.6394,
title = {Finite size scaling of the dynamical free-energy in a kinetically constrained model},
author = {Thierry Bodineau and Vivien Lecomte and Cristina Toninelli},
journal= {arXiv preprint arXiv:1111.6394},
year = {2012}
}
Comments
Version 2: references added, section 1.1 and 2.1 extended. Accepted for publication in Journal of Statistical Physics