Delocalization effect on the relaxation of inhomogeneous gravitational systems

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Celestial Bodies, Distribution Functions, Gravitational Fields, Position (Location), Relaxation Time, Coupling, Inhomogeneity, Kinetic Energy, Landau-Ginzburg Equations, Particle Interactions, Statistical Mechanics, Velocity Distribution

Scientific paper

The correct description of encounters in an N-body gravitational system introduces a variety of effects which are ignored in the standard discussions of the relaxation process. The present paper gives an evaluation of the delocalization effect, corresponding to the fact that the distribution functions for particles engaged in an encounter are necessary to be evaluated in distinct points in space. The calculation is carried through in the framework of the weak-coupling theory of binary encounters and gives a typical increase in the relaxation time of about 10 per cent.

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