Statistical-mechanical formulation of Lyapunov exponents

被引：13

作者：

Tanase-Nicola, S ^{[1
]}

Kurchan, J ^{[1
]}

机构：

[1] EPSCI, UMR 7636 CNRS, PMMH, F-75231 Paris 05, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 41期

关键词：

D O I：

10.1088/0305-4470/36/41/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show how the Lyapunov exponents of a dynamic system can, in general, be expressed in terms of the free energy of a (non-Hermitian) quantum many-body problem. This puts their study as a problem of statistical mechanics, whose intuitive concepts and techniques of approximation can hence be borrowed.

引用

页码：10299 / 10324

页数：26

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