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Statistical-mechanical formulation of Lyapunov exponents

Sorin Tanase-Nicola·Jorge Kurchan
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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.

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BibTeXRIS

Sorin Tanase-Nicola, Jorge Kurchan. 2002-10-17. Statistical-mechanical formulation of Lyapunov exponents. https://doi.org/10.1088/0305-4470%2F36%2F41%2F004

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