Metastability of the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field

preprint2015arXivOpen access

Abstract

We consider the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field evolving on a large but finite torus. We obtain sharp estimates for the transition time, we characterize the set of critical configurations, and we prove the metastable behavior of the dynamics as the temperature vanishes.

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