Fluctuations and the many-body Lyapunov exponent
Journal Article
·
· Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712-1081 (United States)
An {ital ab} {ital initio} theoretical method is derived for calculating the maximal Lyapunov exponent of an {ital N}-body system obeying Hamilton{close_quote}s equations. The theory is developed in detail for a dilute gas. It shows the Lyapunov exponent to be a function of the time integral of the correlation function for fluctuations in the second derivative of the interparticle potential (approximately a power 1/3 law). We apply the theory to a one-component plasma and derive the dependence of the Lyapunov exponent on a plasma parameter. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 399806
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 54; ISSN 1063-651X; ISSN PLEEE8
- Country of Publication:
- United States
- Language:
- English
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