Mean field fluctuations and the evolution of self-gravitating systems

Statistics – Computation

Scientific paper

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Fluctuation Theory, Stellar Evolution, Boltzmann Transport Equation, Computational Astrophysics, Globular Clusters, Mass Distribution

Scientific paper

This paper considers the nonlinear effects of collective fluctuations about a slowly-varying solution of the "collisionless Boltzmann" equation appropriate for a system of stars with a distribution of masses. It is argued that these effects should be manifest on a time-scale tM intermediate between the violent and collisional relaxation times, inhibiting the natural progression towards equipartition induced by collisions, and favouring instead a "well-mixed" state, realized in numerical simulations, in which the mean square velocity is independent of the mass.

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