PMID: 15244669Jul 13, 2004Paper

Postcollapse dynamics of self-gravitating Brownian particles and bacterial populations

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Clément Sire, Pierre-Henri Chavanis

Abstract

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

References

Mar 1, 1970·Journal of Theoretical Biology·E F Keller, L A Segel
Jul 13, 1992·Physical Review Letters·J Goree
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Henri Chavanis
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Henri ChavanisClément Sire
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Clément Sire, Pierre-Henri Chavanis
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Henri Chavanis
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Henri Chavanis, Clément Sire

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Citations

Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I Ispolatov, M Karttunen
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P-H Chavanis, C Sire
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Julien SopikPierre-Henri Chavanis
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Henri Chavanis, Clément Sire
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Henri Chavanis, Clément Sire
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fabio CecconiGustavo P Saracco
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Clément Sire, Pierre-Henri Chavanis
Apr 29, 2014·The European Physical Journal. E, Soft Matter·Yves PomeauBruno Denet
Nov 9, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Henri Chavanis
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nobuyoshi KomatsuShigeo Kimura
Jun 25, 2020·Physical Review. E·Giuseppe Alberti, Pierre-Henri Chavanis
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Julien SopikPierre-Henri Chavanis
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P H Chavanis, L Delfini
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pierre-Henri Chavanis, Clément Sire
Apr 18, 2021·Physical Review. E·Purba Chatterjee, Nigel Goldenfeld
Oct 31, 2018·Accounts of Chemical Research·Benno Liebchen, Hartmut Löwen

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