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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.

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