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
收藏
页码：10299 / 10324
页数：26
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