Statistical-mechanical formulation of Lyapunov exponents

Details Statistical-mechanical formulation of Lyapunov exponents Statistical-mechanical formulation of Lyapunov exponents

2002-10-17

arxiv.org/abs/cond-mat/0210380v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures, RevTex4

Scientific paper

10.1088/0305-4470/36/41/004

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.

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