On the analogy between self-gravitating Brownian particles and bacterial populations

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dc.creatorChavanis, P. H.
dc.creatorRibot, M.
dc.creatorRosier, C.
dc.creatorSire, C.
dc.date2004-07-15
dc.date.accessioned2026-07-07T02:59:12Z
dc.date.available2026-07-07T02:59:12Z
dc.descriptionWe develop the analogy between self-gravitating Brownian particles and bacterial populations. In the high friction limit, the self-gravitating Brownian gas is described by the Smoluchowski-Poisson system. These equations can develop a self-similar collapse leading to a finite time singularity. Coincidentally, the Smoluchowski-Poisson system corresponds to a simplified version of the Keller-Segel model of bacterial populations. In this biological context, it describes the chemotactic aggregation of the bacterial colonies. We extend these classical models by introducing a small-scale regularization. In the gravitational context, we consider a gas of self-gravitating Brownian fermions and in the biological context we consider finite size effects. In that case, the collapse stops when the system feels the influence of the small-scale regularization. A phenomenon of ``explosion'', reverse to the collapse, is also possible.
dc.identifierhttps://arxiv.org/abs/cond-mat/0407386
dc.identifierhttp://arxiv.org/abs/cond-mat/0407386
dc.identifierBanach Center Publ. 66 (2004) 103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24422
dc.subjectStatistical Mechanics
dc.subjectAstrophysics
dc.titleOn the analogy between self-gravitating Brownian particles and bacterial populations
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