Metastability of non-reversible mean-field Potts model with three spins

Abstract

We examine a non-reversible, mean-field Potts model with three spins on a set with $N\uparrow \infty$ points. Without an external field, there are three critical temperatures and five different metastable regimes. The analysis can be extended by a perturbative argument to the case of small external fields. We illustrate the case of large external fields with some phenomena which are not present in the absence of external field.

34 pages, 12 figures

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