Distribution of characteristic exponents in the thermodynamic limit

Anno: 1986

Autori: Livi R., Politi A., Ruffo S.

Affiliazione autori: Dipartimento di Fisica, Firenze Univ., Italy;
INFN, Sezione di Firenze, Italy;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: The existence of the thermodynamic limit for the spectrum of the Lyapunov characteristic exponents is numerically investigated for the Fermi-Pasta-Ulam beta model (1955). The authors show that the shape of the spectrum for energy density well above the equipartition threshold epsilon c allows the Kolmogorov Sinai entropy to be expressed simply in terms of the maximum exponent lambda max. The presence of a power-law behaviour epsilon beta 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.

Giornale/Rivista: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Volume: 19      Da Pagina: 2033  A: 2040

Parole chiavi: thermodynamic limit; dynamical systems;
DOI: 10.1088/0305-4470/19/11/012

Citazioni: 122
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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