FLUCTUATIONS AND THE MANY-BODY LYAPUNOV EXPONENT

Authors
BARNETT DM TAJIMA T
Citation
Dm. Barnett et T. Tajima, FLUCTUATIONS AND THE MANY-BODY LYAPUNOV EXPONENT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(6), 1996, pp. 6084-6092
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
6
Year of publication
1996
Pages
6084 - 6092
Database
ISI
SICI code
1063-651X(1996)54:6<6084:FATMLE>2.0.ZU;2-X
Abstract
An ab initio theoretical method is derived for calculating the maximal Lyapunov exponent of an N-body system obeying Hamilton's equations. T he theory is developed in detail for a dilute gas. It shows the Lyapun ov exponent to be a function of the time integral of the correlation f unction for fluctuations in the second derivative of the interparticle potential (approximately a power 1/3 law). We apply the theory to a o ne-component plasma and derive the dependence of the Lyapunov exponent on a plasma parameter.