A CLUSTER-EXPANSION FOR STOCHASTIC LATTICE FIELDS

被引：14
作者：
DIMOCK, J
机构：
[1] Department of Mathematics, SUNY at Buffalo, Buffalo, 14214, New York
来源：
JOURNAL OF STATISTICAL PHYSICS | 1990年 / 58卷 / 5-6期
关键词：
cluster expansion; Landau-Ginzburg equation;
D O I：
10.1007/BF01026571
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A Langevin equation of Landau-Ginzburg type for the stochastic dynamics of a scalar field on a lattice is studied. A cluster expansion is developed for this problem which converges for large mass. As a consequence, one establishes uniformly in the volume: (a) exponential decay of correlations in space and time, and (b) exponential approach to equilibrium for a class of nearby initial distributions. © 1990 Plenum Publishing Corporation.
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页码：1181 / 1207
页数：27
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