Postcollapse dynamics of self-gravitating Brownian particles and bacterial populations.

摘要: We address the postcollapse dynamics of a self-gravitating gas Brownian particles in D dimensions both canonical and microcanonical ensembles. In ensemble, evolution is marked by formation Dirac peak with increasing mass. The density profile outside evolves self-similarly decreasing central core radius. regime "binarylike" structure surrounded an almost uniform halo high temperature. These results are consistent thermodynamical predictions astrophysics. also show that Smoluchowski-Poisson system describing collapse strong-friction limit isomorphic to simplified version Keller-Segel equations chemotactic aggregation bacterial populations. Therefore, our study has direct applications this biological context.