The Glassy Potts Model

Abstract

We introduce a Potts model with quenched, frustrated disorder, that enjoys of a gauge symmetry that forbids spontaneous magnetization, and allows the glassy phase to extend from $T_c$ down to T=0. We study numerical the 4 dimensional model with $q=4$ states. We show the existence of a glassy phase, and we characterize it by studying the probability distributions of an order parameter, the binder cumulant and the divergence of the overlap susceptibility. We show that the dynamical behavior of the system is characterized by aging.

4 pages including 4 (color) ps figures (all on page 4)

References in corpus (2)

• Equilibrium and off-equilibrium simulations of the 4d Gaussian spin glass
• A general method to determine replica symmetry breaking transitions

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• Critical properties of the four-state Commutative Random Permutation Glassy Potts model in three and four dimensions
• Critical Behavior of Three-Dimensional Disordered Potts Models with Many States
• The Super-Potts glass: a new disordered model for glass-forming liquids
• Evidence of a glass transition in a 10-state non-mean-field Potts glass
• A curious relationship between Potts glass models