Metastability for the Ising Model on the Hypercube

被引：9
作者：
Jovanovski, Oliver [1 ]
机构：
[1] Leiden Univ, Math Inst, POB 9512, NL-2300 RA Leiden, Netherlands
来源：
JOURNAL OF STATISTICAL PHYSICS | 2017年 / 167卷 / 01期
关键词：
Metastability; Ising model; Interacting particle systems; Glauber dynamics; Hypercube; SMALL TRANSITION-PROBABILITIES; GLAUBER DYNAMICS; STOCHASTIC DYNAMICS; GENERAL DOMAIN; MARKOV-CHAINS; EXIT PROBLEM; NUCLEATION; DROPLETS;
D O I：
10.1007/s10955-017-1736-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider Glauber dynamics for the low-temperature, ferromagnetic Ising Model on the n-dimensional hypercube. We derive precise asymptotic results for the crossover time (the time it takes for the dynamics to go from the configuration with a "" at every vertex, to the configuration with a "" at each vertex) in the limit as the inverse temperature beta -> infinity.
引用
收藏
页码：135 / 159
页数：25
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