Equipartition and mass segregation in 1-dimensional gravitational systems

Statistics – Computation

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Celestial Mechanics, Computational Astrophysics, Gravitation, Mass Distribution, Stellar Motions, Energy Distribution, Many Body Problem, Relaxation Time, Temporal Distribution

Scientific paper

Numerical experiments are reported on the relaxation process in a series of one-dimensional systems with a bimodal mass distribution and containing from 100 to 600 particles. There appears a clear trend towards equipartition, as measured by the ratio of the average kinetic energies for the light and heavy particles, or equivalently, by the decreasing separation between the energy distribution functions for the two species. The variation of the half-mass radii exhibits a corresponding trend towards mass segregation in the systems. The relaxation time for equipartition t(eq) is of order Nt(Co), t(Co) being a characteristic dynamical time, rather than N-squared t(Co) as predicted by existing theory. The results obtained suggest, moreover, a linear dependence of t(eq) on N, a clear indication that the relaxation is to be attributed to the effect of binary encounters.

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