Dynamic first-order phase transition in kinetically constrained models of glasses
Statistical Mechanics
2009-11-13 v2 Chaotic Dynamics
Abstract
We show that the dynamics of kinetically constrained models of glass formers takes place at a first-order coexistence line between active and inactive dynamical phases. We prove this by computing the large-deviation functions of suitable space-time observables, such as the number of configuration changes in a trajectory. We present analytic results for dynamic facilitated models in a mean-field approximation, and numerical results for the Fredrickson-Andersen model, the East model, and constrained lattice gases, in various dimensions. This dynamical first-order transition is generic in kinetically constrained models, and we expect it to be present in systems with fully jammed states.
Cite
@article{arxiv.cond-mat/0701757,
title = {Dynamic first-order phase transition in kinetically constrained models of glasses},
author = {J. P. Garrahan and R. L. Jack and V. Lecomte and E. Pitard and K. van Duijvendijk and F. van Wijland},
journal= {arXiv preprint arXiv:cond-mat/0701757},
year = {2009}
}
Comments
4.1 pages, 3 figures