Post-collapse dynamics of self-gravitating Brownian particles in D dimensions

Abstract

We address the post-collapse dynamics of a self-gravitating gas of Brownian particles in D dimensions, in both canonical and microcanonical ensembles. In the canonical ensemble, the post-collapse evolution is marked by the formation of a Dirac peak with increasing mass. The density profile outside the peak evolves self-similarly with decreasing central density and increasing core radius. In the microcanonical ensemble, the post-collapse regime is marked by the formation of a ``binary''-like structure surrounded by an almost uniform halo with high temperature. These results are consistent with thermodynamical predictions.

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• Gravitational instability of finite isothermal spheres
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• Thermodynamics and collapse of self-gravitating Brownian particles in D dimensions
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