Metastability and Nucleation for the Blume-capel Model. Different Mechanisms of Transition
نویسندگان
چکیده
We study metastability and nucleation for the Blume-Capel model: a ferromagnetic nearest neighbour two-dimensional lattice system with spin variables taking values in f 1; 0;+1g. We consider large but nite volume, small xed magnetic eld h and chemical potential in the limit of zero temperature; we analyze the rst excursion from the metastable 1 con guration to the stable +1 con guration. We compute the asymptotic behaviour of the transition time and describe the typical tube of trajectories during the transition. We show that, unexpectedly, the mechanism of transition changes abruptly when the line h = 2 is crossed.
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