Metastable states and space-time phase transitions in a spin-glass model

Reference:

Jack, R. L. and Garrahan, J. P., 2010. Metastable states and space-time phase transitions in a spin-glass model. Physical Review E, 81 (1).

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Official URL:

http://dx.doi.org/10.1103/PhysRevE.81.011111

Abstract

We study large deviations of the dynamical activity in the random orthogonal model. This is a fully connected spin-glass model with one-step replica symmetry-breaking behavior, consistent with the random first-order transition scenario for structural glasses. We show that this model displays dynamical (space-time) phase transitions between active and inactive phases, as demonstrated by singularities in large deviation functions. We argue that such transitions are generic in systems with long-lived metastable states.

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