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arXiv · 1002.4576

Continuous RSB mean-field solution of the Potts glass

V. Janis·A. Klic
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Abstract

We investigate the p-state mean-field model of the Potts glass ($2\le p \le 4$) below the continuous phase transition to a glassy phase. We find that apart from a solution with a first hierarchical level of replica-symmetry breaking (1RSB), locally stable close to the transition point, there is a continuous full replica-symmetry breaking (FRSB) solution. The latter is marginally stable and has a higher free energy than the former. We argue that the true equilibrium is reached only by FRSB, being globally thermodynamically homogeneous, whereas 1RSB is only locally homogeneous.

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V. Janis, A. Klic. 2010-02-24. Continuous RSB mean-field solution of the Potts glass. https://doi.org/10.1088/0953-8984%2F23%2F2%2F022204

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