Dynamical first-order phase transition in kinetically constrained models of glasses.
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.
Garrahan
J P
JP
School of Physics and Astronomy, University of Nottingham, Nottingham, UK.
Jack
R L
RL
Lecomte
V
V
Pitard
E
E
van Duijvendijk
K
K
van Wijland
F
F