Metastability of Non-reversible, Mean-Field Potts Model with Three Spins

We examine a non-reversible, mean-field Potts model with three spins on a set with N ↑ ∞ 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, and i...

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Bibliographic Details
Published inJournal of statistical physics Vol. 165; no. 4; pp. 693 - 726
Main Authors Landim, C., Seo, I.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2016
Springer
Springer Nature B.V
Springer Verlag
Subjects
Analysis
Markov processes
Mathematical and Computational Physics
Mathematical models
Mathematics
Physical Chemistry
Physics
Physics and Astronomy
Probability
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Non-reversible Markov chains
Mean-field Potts model
Metastability
Tunneling behavior
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Summary:We examine a non-reversible, mean-field Potts model with three spins on a set with N ↑ ∞ 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, and it can be carried out in the case where the external field is in the direction or in the opposite direction to one of the values of the spins. Numerical computations permit to identify other phenomena which are not present in the previous situations.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-016-1638-1