THE METASTABLE BEHAVIOR OF THE 3-DIMENSIONAL STOCHASTIC ISING-MODEL .2.

Citation
Dy. Chen et al., THE METASTABLE BEHAVIOR OF THE 3-DIMENSIONAL STOCHASTIC ISING-MODEL .2., Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(11), 1997, pp. 1129-1135
Citations number
2
ISSN journal
10016511
Volume
40
Issue
11
Year of publication
1997
Pages
1129 - 1135
Database
ISI
SICI code
1001-6511(1997)40:11<1129:TMBOT3>2.0.ZU;2-J
Abstract
The metastable behavior of the stochastic Ising model is studied in a finite three-dimensional torus, in the limit as the temperature goes t o zero. The so-called critical droplet is determined, a clear view of the passage from the configuration that all spins are down (-1) to the configuration that all spins are up (+1) is given and the logarithmic asymptotics of the hitting time of +1 starting at -1 or vice versa is calculated. The proof uses large deviation estimates of a family of e xponentially perturbed Markov chains.