Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Jan 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrve..61..948t&link_type=abstract
Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 61, Issue 1, January 2000
Physics
Condensed Matter
Statistical Mechanics
16
High-Dimensional Chaos, Classical Statistical Mechanics, Nonequilibrium And Irreversible Thermodynamics, Stellar Dynamics And Kinematics
Scientific paper
The relation between relaxation, the time scale of Lyapunov instabilities, and the Kolmogorov-Sinai time in a one-dimensional gravitating sheet system is studied. Both the maximum Lyapunov exponent and the Kolmogorov-Sinai entropy decrease as proportional to N?1/5. The time scales determined by these quantities evidently differ from any type of relaxation time found in the previous investigations. The relaxation time to quasiequilibria (microscopic relaxation) is found to have the same N dependence as the inverse of the minimum positive Lyapunov exponent. The relaxation time to the final thermal equilibrium differs from the inverse of the Lyapunov exponents and the Kolmogorov-Sinai time.
Gouda Naoteru
Tsuchiya Toshio
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