Metastability under stochastic dynamics

被引：22
|
作者：
den Hollander, F [1 ]
机构：
[1] EURATOM, NL-5600 MB Eindhoven, Netherlands
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2004年 / 114卷 / 01期
关键词：
interacting particle systems; stochastic dynamics; metastability; critical droplet; large deviations; potential theory; discrete isoperimetric inequalities;
D O I：
10.1016/j.spa.2004.07.007
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
This paper is a tutorial introduction to some of the mathematics behind metastable behavior of interacting particle systems. The main focus is on the formation of so-called critical droplets, in particular, on their geometry and the time of their appearance. Special attention is given to Ising spins subject to a Glauber spin-flip dynamics and lattice particles subject to a Kawasaki hopping dynamics. The latter is one of the hardest models that can be treated to date and therefore is representative for the current state of development of this research area. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：1 / 26
页数：26
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