The convergence of cluster expansion for continuous systems with many-body interaction

被引：11
|
作者：
Rebenko, AL
Shchepanuk, GV
机构：
[1] Ukrainian National Science Academy,Institute for Mathematics
来源：
JOURNAL OF STATISTICAL PHYSICS | 1997年 / 88卷 / 3-4期
关键词：
thermodynamic limit; cluster expansion; Poisson measure; many-body interaction;
D O I：
10.1023/B:JOSS.0000015167.07226.2e
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The existence of a unique thermodynamic state for dilute classical systems is proved for a class of multi-particle potentials under ordinary assumptions of stability and integrability. Thus we do not use the cumbersome conditions of regularity needed in previous publications for the many-body analysis. The method relies on the Poisson measure representation and cluster expansion for distribution functions.
引用
收藏
页码：665 / 689
页数：25
相关论文
共 50 条
12345