Symmetry of Lyapunov spectrum

Journal Article · Tue Mar 01 04:00:00 EST 1994 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF02188220· OSTI ID:7015832

Gupalo, D; Kaganovich, A S; Cohen, E G.D. ^[1]

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1. Rockefeller Univ., New York, NY (United States)

The symmetry of the spectrum of Lyapunov exponents provides a useful quantitative connection between properties of dynamical systems consisting of N interacting particles coupled to a thermostat, and nonequilibrium statistical mechanics. The authors obtain here sufficient conditions for this symmetry and analyze the structure of 1/N corrections ignored in previous studies. The relation of the Lyapunov spectrum symmetry with some other symmetries of dynamical systems is discussed.

• DOE Contract Number: FG02-88ER13847
• OSTI ID: 7015832
• Journal Information: Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 74:5-6; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CALCULATION METHODS
DYNAMICS
LYAPUNOV METHOD
MECHANICS
STATISTICAL MECHANICS
SYMMETRY