Metastability and Nucleation for the Blume-Capel Model. Different mechanisms of transition

Details Metastability and Nucleation for the Blume-Capel Model. Different mechanisms of transition Metastability and Nucleation for the Blume-Capel Model. Different mechanisms of transition

1995-05-10

arxiv.org/abs/hep-th/9505055v1

Jour. Stat. Phys. 83, 473-554 (1996)

Physics

High Energy Physics

High Energy Physics - Theory

96 pages, 44 tex-figures, 7 postscript figures

Scientific paper

10.1007/BF02183739

We study metastability and nucleation for the Blume-Capel model: a ferromagnetic nearest neighbour two-dimensional lattice system with spin variables taking values in -1,0,+1. We consider large but finite volume, small fixed magnetic field h and chemical potential "lambda" in the limit of zero temperature; we analyze the first excursion from the metastable -1 configuration to the stable +1 configuration. 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*lambda is crossed.

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