Statistical-mechanical formulation of Lyapunov exponents
Statistical Mechanics
2009-11-07 v1 Chaotic Dynamics
Abstract
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.
Cite
@article{arxiv.cond-mat/0210380,
title = {Statistical-mechanical formulation of Lyapunov exponents},
author = {Sorin Tanase-Nicola and Jorge Kurchan},
journal= {arXiv preprint arXiv:cond-mat/0210380},
year = {2009}
}
Comments
10 pages, 3 figures, RevTex4