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

被引：0
|
作者：
Dayue Chen
Jianfeng Feng
Minping Qian
机构：
[1] Peking University,Department of Probability and Statistics
来源：
Science in China Series A: Mathematics | 1997年 / 40卷
关键词：
stochastic Ising model; metastable state; Hamiltonian; critical droplet;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 axe up (+1) is given and the logarithmic asymptotics of the hitting time of+1 starting at -1 orvice versa is calculated. The proof uses large deviation estimates of a family of exponentially perturbed Markov chains.
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页码：1129 / 1135
页数：6
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