Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-12-09
Astronomy and Astrophysics
Astrophysics
revtex, 3 figures, tar and gziped. Submitted to Physical Review Letters. e-print aps1998nov20_002
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 coincide with the inverse of the minimum positive Lyapunov exponent. The relaxation time to the final thermal equilibrium differs to the inverse of the Lyapunov exponents and the Kolmogorov-Sinai time.
Gouda Naoteru
Tsuchiya Toshio
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