Metastability of the three-state Potts model with asymmetrical external field

Jeonghyun Ahn

Stochastic Processes and their Applications, 2024, vol. 176, issue C

Abstract: In this paper, we explore the metastable behavior of the Glauber dynamics associated with the three-state Potts model with an asymmetrical external field at a low-temperature regime. The model exhibits three monochromatic configurations: a unique stable state and two metastable states with different stability levels. We investigate metastable transitions, which are transitions from each metastable state to the ground state, separately and verify that the two transitions exhibit different behaviors.

Keywords: Metastability; Potts model; Metropolis dynamics; Large deviations (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spa.2024.104423

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