The metastable behavior of the three-dimensional stochastic Ising model(Ⅱ)

The metastable behavior of the stochastic Ising model is studied in a finite three-dimensional torus,in the limit as the temperature goes to 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...

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Bibliographic Details
Published in:Science China. Mathematics 1997, Vol.40 (11), p.1129-1135
Main Author: 陈大岳 冯建峰 钱敏平
Format: Article
Language:English
Subjects:
Configurations
critical
droplet
Hamiltonian
Ising
Ising model
Markov chains
metastable
state
stochastic
Three dimensional models
Toruses
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Summary:The metastable behavior of the stochastic Ising model is studied in a finite three-dimensional torus,in the limit as the temperature goes to 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 verm is calculated.The proof uses large deviation estimates of a family of exponentially perturbed Markov chains.
ISSN:1674-7283
1006-9283
1869-1862
1862-2763
DOI:10.1007/BF02931831