ZERO-TEMPERATURE LIMIT OF THE KAWASAKI DYNAMICS FOR THE ISING LATTICE GAS IN A LARGE TWO-DIMENSIONAL TORUS

被引：7

作者：

Gois, B. ^{[1
]}

Landim, C. ^{[1
,2
]}

机构：

[1] Inst Matematica Pura & Aplicada, BR-22460 Rio De Janeiro, Brazil

[2] Univ Rouen, CNRS, UMR 6085, F-76801 St Etienne, France

来源：

ANNALS OF PROBABILITY | 2015年 / 43卷 / 04期

关键词：

Ising model; Kawasaki dynamics; zero-temperature limit; scaling limit; adsorption; Brownian motion; INTERACTING BROWNIAN PARTICLES; CONSERVATIVE DYNAMICS; METASTABILITY; NUCLEATION;

D O I：

10.1214/14-AOP930

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：

We consider the Kawasaki dynamics at inverse temperature beta for the Ising lattice gas on a two-dimensional square of length 2L + 1 with periodic boundary conditions. We assume that initially the particles form a square of length n, which may increase, as well as L, with beta. We show that in a proper time scale the particles form almost always a square and that the center of mass of the square evolves as a Brownian motion when the temperature vanishes.

引用

页码：2151 / 2203

页数：53

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