Exact analytical solution of the collapse of self-gravitating Brownian particles and bacterial populations at zero temperature.

@article{Chavanis2011ExactAS,
  title={Exact analytical solution of the collapse of self-gravitating Brownian particles and bacterial populations at zero temperature.},
  author={Pierre-Henri Chavanis and Cl{\'e}ment Sire},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 3 Pt 1},
  pages={031131}
}
We provide an exact analytical solution of the collapse dynamics of self-gravitating Brownian particles and bacterial populations at zero temperature. These systems are described by the Smoluchowski-Poisson system or Keller-Segel model in which the diffusion term is neglected. As a result, the dynamics is purely deterministic. A cold system undergoes a… CONTINUE READING