THE METASTABLE BEHAVIOR OF THE 3-DIMENSIONAL STOCHASTIC ISING-MODEL .1.

Authors
CHEN DY FENG JF QIAN MP
Citation
Dy. Chen et al., THE METASTABLE BEHAVIOR OF THE 3-DIMENSIONAL STOCHASTIC ISING-MODEL .1., Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(8), 1997, pp. 832-842
Citations number
13
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
40
Issue
8
Year of publication
1997
Pages
832 - 842
Database
ISI
SICI code
1001-6511(1997)40:8<832:TMBOT3>2.0.ZU;2-H
Abstract
The metastable behavior of the stochastic Ising model in a finite thre e-dimensional torus is studied in the limit as the temperature goes to zero. All metastable states are characterized and a hierarchic struct ure is found. For a large class of initial states, the logarithmic asy mptotics of the hitting time of the states are studied with all spins +1 or -1.