The metastable behavior of the three-dimensional stochastic Ising model Ⅰ

被引:0
|
作者
陈大岳
冯建峰
钱敏平
机构
[1] Peking University
[2] Beijing 100871
[3] China
[4] Department of Probability and Statistics
基金
中国国家自然科学基金;
关键词
stochastic Ising model; metastable state; attractor; hierarchic structure; Hamiltonian;
D O I
暂无
中图分类号
O211 [概率论(几率论、或然率论)];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The metastable behavior of the stochastic Ising model in a finite three-dimensional torus is studied in the limit as the temperature goes to zero.All metastable states are characterized and a hierarchic structure is found.For a large class of initial states,the logarithmic asymptotics of the hitting time of the states are studied with all spins +1 or -1.
引用
收藏
页码:832 / 842
页数:11
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