A MEAN-FIELD EQUATION OF MOTION FOR THE DYNAMIC ISING-MODEL

被引：55

作者：

PENROSE, O

机构：

[1] Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh

来源：

JOURNAL OF STATISTICAL PHYSICS | 1991年 / 63卷 / 5-6期

关键词：

DYNAMIC ISING MODEL; MEAN-FIELD THEORIES; KINETICS OF PHASE TRANSITIONS; APPROXIMATE KINETIC EQUATIONS;

D O I：

10.1007/BF01029993

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A mean-field type of approximation is used to derive two differential equations, one approximately representing the average behavior of the Ising model with Glauber (spin-flip) stochastic dynamics, and the other doing the same for Kawasaki (spin-exchange) dynamics. The proposed new equations are compared with the Cahn-Allen and Cahn-Hilliard equations representing the same systems and with information, about the exact behavior of the microscopic models.

引用

页码：975 / 986

页数：12

共 12 条

[1] MICROSCOPIC THEORY FOR ANTIPHASE BOUNDARY MOTION AND ITS APPLICATION TO ANTIPHASE DOMAIN COARSENING [J].