Gravity in one dimension - A dynamical and statistical study

Details Gravity in one dimension - A dynamical and statistical study Gravity in one dimension - A dynamical and statistical study

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phrva..29.1411w&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2805), vol. 29, March 1984, p. 1411-1418.

Physics

Condensed Matter

Statistical Mechanics

18

Dynamics, Gravitational Fields, Particle Interactions, Statistical Mechanics, Canonical Forms, Gravitational Constant, Many Body Problem, Particle Trajectories, Relaxation Time

Scientific paper

Computer experiments performed on a one-dimensional self-gravitating system are discussed from a dynamical and a statistical point of view. Statistically, the time-averaged position and velocity densities are shown to approach their respective microcanonical ensemble averages for four, five, and six particles. The relaxation time is much longer than previously expected. For three particles the system does not relax to the microcanonical distribution. The surface of sections for the N = 3 case was explored and the statistical properties were correlated with explicit dynamical features. It is shown that this dynamical method is consistent with the statistical interpretation. The mechanism which generates the chaotic behavior for the N = 3 case is multiple encounters.

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