English

Gravitational collapse of a Brownian gas

Statistical Mechanics 2007-05-23 v1 Astrophysics

Abstract

We investigate a model describing the dynamics of a gas of self-gravitating Brownian particles. This model can also have applications for the chemotaxis of bacterial populations. We focus here on the collapse phase obtained at sufficiently low temperature/energy and on the post-collapse regime following the singular time where the central density diverges. Several analytical results are illustrated by numerical simulations.

Keywords

Cite

@article{arxiv.cond-mat/0407397,
  title  = {Gravitational collapse of a Brownian gas},
  author = {C. Sire and P. H. Chavanis},
  journal= {arXiv preprint arXiv:cond-mat/0407397},
  year   = {2007}
}