Lyapunov exponents and Kolmogorov-Sinai entropy for a high-dimensional convex billiard
Journal Article
·
· Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Institute for Nuclear Theory, Department of Physics, University of Washington, Seattle, Washington 98195 (United States)
We compute the Lyapunov exponents and the Kolmogorov-Sinai (KS) entropy for a self-bound N-body system that is realized as a convex billiard. This system exhibits truly high-dimensional chaos, and 2N-4 Lyapunov exponents are found to be positive. The KS entropy increases linearly with the numbers of particles. We examine the chaos generating defocusing mechanism and investigate how high-dimensional chaos develops in this system with no dispersing elements. (c) 2000 The American Physical Society.
- OSTI ID:
- 20215464
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, Issue 2; Other Information: PBD: Feb 2000; ISSN 1063-651X
- Country of Publication:
- United States
- Language:
- English
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