Gravity in one dimension - Selective relaxation?

Details Gravity in one dimension - Selective relaxation? Gravity in one dimension - Selective relaxation?

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...318..248r&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 318, July 1, 1987, p. 248-260.

Statistics

Computation

25

Particle Motion, Relaxation Time, Stellar Gravitation, Stellar Motions, Thermalization (Energy Absorption), Computational Astrophysics, Many Body Problem, Velocity Distribution

Scientific paper

In order to clarify conflicting results obtained in two studies on whether one-dimensional, self-gravitating systems consisting of N equal-mass particles relax to equilibrium, a different testing procedure was developed that provides consistent evidence concerning the degree to which the velocities and positions computed in numerical simulations are sampling their respective microcanonical distributions. Five different 100-particle systems containing characteristics from the two studies are examined using time correlation functions to estimate the dynamical time for the data to become statistically independent within a given system. The results show that all but one of the systems have not thermalized, and that the 'closeness' of initial states to equilibrium is neither a sufficient nor relevant condition for relaxation.

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