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The Glassy Potts Model

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arxiv cond-mat/9805300 v1 pith:6AKPQNB4 submitted 1998-05-23 cond-mat.dis-nn cond-mat.stat-mechhep-th

The Glassy Potts Model

classification cond-mat.dis-nn cond-mat.stat-mechhep-th
keywords glassymodelphasepottsagingallowsbehaviorbinder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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