Numerical study of the relaxation of one-dimensional gravitational systems

Details Numerical study of the relaxation of one-dimensional gravitational systems Numerical study of the relaxation of one-dimensional gravitational systems

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.100..261l&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 100, no. 1-2, March 1984, p. 261-277.

Astronomy and Astrophysics

Astrophysics

35

Computerized Simulation, Gravitation Theory, Relaxation Method (Mathematics), Stellar Gravitation, Astrophysics, Kolmogoroff-Smirnoff Test, Virial Theorem

Scientific paper

The effective relaxation of one-dimensional gravitational systems towards micro-canonical equilibrium is demonstrated in a series of computer experiments, the Kolmogorov-Smirnov goodness of fit test being used to give a measure of the evolution of the distribution function. The relaxation time-scale tR is shorter than Ntc, and thus much shorter than the generally accepted estimate, tR is approximately equal to (N-squared)(tc), where N is the number of particles in the system and tc is a characteristic dynamical time.

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