The relaxation time of a one-dimensional self-gravitating system

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Disk Galaxies, Gravitational Effects, Relaxation Time, Stellar Motions, Computer Techniques, Density Distribution, Mass Distribution, Thermalization (Energy Absorption)

Scientific paper

A one-dimensional system of self-gravitating mass sheets can be used to simulate the motion of stars perpendicular to the plane of highly flattened disk galaxies. In this paper, an attempt is made to observe the dynamic time required for this system to thermalize by comparing the position and velocity densities with those predicted by the microcanonical ensemble. Hohl and Broaddus (1967) reported an estimate of the thermalization time which is inferred from studies of the kinetic energy covariance. The system was run in a computer experiment for the time that Hohl and Broaddus report, but it was found that the system did not thermalize. Furthermore there is no evidence that the system is even proceeding toward equilibrium in the time-scale considered here.

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