@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} }

- Published 2011 in Physical review. E, Statistical, nonlinear, and…
DOI:10.1103/PhysRevE.83.031131

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

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