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

摘要

We consider the two-dimensional Blume-Capel model with zero chemicalpotential and small magnetic field evolving on a large but finite torus. Weobtain sharp estimates for the transition time, we characterize the set ofcritical configurations, and we prove the metastable behavior of the dynamicsas the temperature vanishes.