Distribution of characteristic exponents in the thermodynamic limit

R Livi, A Politi, S Ruffo

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Abstract

The existence of the thermodynamic limit for the spectrum of the Lyapunov
characteristic exponents is numerically investigated for the Fermi-Pasta-Ulam p model. We show that the shape of the spectrum for energy density well above the equipartition threshold E, allows the Kolmogorov-Sinai entropy to be expressed simply in terms of the maximum exponent I,,,. The presence of a power-law behaviour E@ is investigated. The analogies with similar results obtained from the dynamics of symplectic random matrices seem to indicate the possibility of interpreting chaotic dynamics in terms of some 'universal' properties.
Original languageEnglish
Pages (from-to)2033-2040
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume19
Issue number11
Publication statusPublished - 1 Aug 1986

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