LYAPUNOV EXPONENT OF A MANY-BODY SYSTEM AND ITS TRANSPORT-COEFFICIENTS

Authors
BARNETT DM TAJIMA T NISHIHARA K UESHIMA Y FURUKAWA H
Citation
Dm. Barnett et al., LYAPUNOV EXPONENT OF A MANY-BODY SYSTEM AND ITS TRANSPORT-COEFFICIENTS, Physical review letters, 76(11), 1996, pp. 1812-1815
Citations number
13
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
76
Issue
11
Year of publication
1996
Pages
1812 - 1815
Database
ISI
SICI code
0031-9007(1996)76:11<1812:LEOAMS>2.0.ZU;2-V
Abstract
An ab initio theoretical expression for the N-body Lyapunov exponent o f a dilute gas is derived. It shows the Lyapunov exponent to be a func tion of the time integral of the correlation function for the second d erivative of the interparticle potential (approximately a power 1/3 la w). This establishes a link between the Lyapunov exponent and the tran sport coefficients. We compare the theory with numerical simulations o f a one component plasma.