The collapse and violent relaxation of N-body systems - Mass segregation and the secondary maximum

Computer Science – Numerical Analysis

Scientific paper

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Galactic Clusters, Gravitational Collapse, Many Body Problem, Mass Distribution, Density Distribution, Numerical Analysis, Spatial Distribution, Velocity Distribution

Scientific paper

Farouki and Salpeter (1982) have established a simple empirical formula for the time scale required for secular two-body relaxation to induce mass segregation in self-gravitating clusters containing a range of particle masses. According to this study, it appears evident that large-scale 'settling' could induce an appreciable degree of segregation, if the initial state was not a precise equilibrium configuration. For galaxy clusters, the initial state (which is taken to the epoch of separation from the Hubble flow) results essentially in a collapse from rest and represents a severe initial departure from equilibrium. During the initial 'violet settling period', the rate of mass segregation is enhanced by some factor alpha. The present investigation has the primary aim to estimate alpha. It is pointed out that the value of alpha appropriate to actual galaxy clusters should not be much smaller than the value measured in simulations which were conducted.

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