NUMERICAL ANALYSIS FOR A MEAN-FIELD EQUATION FOR THE ISING MODEL WITH GLAUBER DYNAMICS

被引：0

作者：

B.N. Lu(Laboratory of Computational Physics

Graduate School of Chinese Academy of Engineering Physics

机构：

来源：

Journal of Computational Mathematics | 1997年 / 03期

关键词：

Figure; NUMERICAL ANALYSIS FOR A MEAN-FIELD EQUATION FOR THE ISING MODEL WITH GLAUBER DYNAMICS; Math;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

In this paper , a mean-field equation of motion which is derived by Penrose (1991) for the dynamic Inst model with Glauber dynamics is considered. Various finite difference schemes such as explicit Euler scheme, predictor-corrector scheme and some implicit schemes are given and their convergence, stabilities and dynamical properties are discussed. Moreover, a Lyapunov functional for the discrete semigroup {S}n>0 is constructed. Finally, numerical examples are computed and analyzed. it shows that the model is a better approximation to Cahn-Alien equation which is mentioned in Penrose (1991).

引用

页码：203 / 218

页数：16