Abstract

Maxwell's theory of relaxation in a dilute gas, formulated for molecules with an inverse-fifth-power law of interaction, is extended to homogeneous systems of gravitating particles. Normal modes are obtained for the decay of the relative velocity and temperature difference between two homogeneous, interpenetrating streams of stars. The theory yields a pair of coupled ordinary differential equations governing the simultaneous relaxation of the mean-velocity and temperature differences between the two streams. Some numerical solutions of these equations are exhibited.

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