Dynamic first-order phase transition in kinetically constrained models of glasses

Details Dynamic first-order phase transition in kinetically constrained models of glasses Dynamic first-order phase transition in kinetically constrained models of glasses

2007-01-30

arxiv.org/abs/cond-mat/0701757v2

Phys. Rev. Lett. 98, 195702 (2007)

Physics

Condensed Matter

Statistical Mechanics

4.1 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.98.195702

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.

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