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 inScience China. Mathematics Vol. 40; no. 11; pp. 1129 - 1135
Main Author 陈大岳 冯建峰 钱敏平
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 1997
Subjects
Configurations
critical
droplet
Hamiltonian
Ising
Ising model
Markov chains
metastable
state
stochastic
Three dimensional models
Toruses
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ISSN1674-7283
1006-9283
1869-1862
1862-2763
DOI10.1007/BF02931831

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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.
Bibliography:CHEN Dayue FENG Jianfeng and QIAN Minping(Department of Probability and Statistics,Peking University,Beijing 100871,China)
11-5837/O1
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ISSN:1674-7283
1006-9283
1869-1862
1862-2763
DOI:10.1007/BF02931831