High temperature expansions and dynamical systems

被引：67

作者：

Bricmont, J ^{[1
]}

Kupiainen, A ^{[1
]}

机构：

[1] HELSINKI UNIV,DEPT MATH,SF-00014 HELSINKI,FINLAND

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1996年 / 178卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/BF02108821

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish uniqueness of the Gibbs state and exponential decay of the correlation functions. Then, we apply this expansion to the Perron-Frobenius operator of weakly coupled map lattices.

引用

页码：703 / 732

页数：30

共 49 条

[1]

[Anonymous], 1988, APPL MATH SCI

[2]

BOWEN R, 1975, LECTURE NOTES MATH, V470

[3] COUPLED ANALYTIC-MAPS [J].