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

被引：0
|
作者：
陈大岳
冯建峰
钱敏平
机构：
[1] Beijing 100871
[2] Peking University
[3] Department of Probability and Statistics
[4] China
来源：
Science China Mathematics | 1997年 / 11期
基金：
中国国家自然科学基金;
关键词：
stochastic Ising model; metastable state; Hamiltonian; critical droplet;
D O I：
暂无
中图分类号：
O212 [数理统计];
学科分类号：
020208 ; 070103 ; 0714 ;
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 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.
引用
收藏
页码：1129 / 1135
页数：7
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