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.

arXiv comment34 pages, 12 figures

References in corpus (5)

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• Tunneling and Metastability of continuous time Markov chains II, the nonreversible case
• Glauber Dynamics for the mean-field Potts Model
• Metastability of reversible random walks in potential fields
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Cited by in corpus (8)

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• Condensation and Metastable Behavior of Non-reversible Inclusion Processes
• Energy Landscape and Metastability of Curie-Weis-Potts Model
• Spectral theory for random Poincaré maps
• Stable and metastable phases for the Curie-Weiss-Potts model in vector-valued fields via singularity theory
• Energy landscape of the two-component Curie-Weiss-Potts model with three spins