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

• Autorzy: Pierre-Henri Chavanis , Magali Ribot , Carole Rosier , Clément Sire
• Języki publikacji: EN

Abstrakty

EN

We 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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 66
• Numer: 1
• Strony: 103-126

Daty

wydano

2004

Twórcy

autor

Pierre-Henri Chavanis

• Laboratoire de Physique Théorique, Université, Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France

autor

Magali Ribot

• MAPLY, Université Claude Bernard, Bâtiment, 101, 69622 Villeurbanne Cedex, France

autor

Carole Rosier

• LAPCS, Université Claude Bernard, 50 avenue Tony Garnier, 69366 Lyon, France

autor

Clément Sire

• Laboratoire de Physique Théorique, Université, Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France

Identyfikatory

DOI

10.4064/bc66-0-7