Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
103-126
Opis fizyczny
Daty
wydano
2004
Twórcy
autor
- Laboratoire de Physique Théorique, Université, Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France
autor
- MAPLY, Université Claude Bernard, Bâtiment, 101, 69622 Villeurbanne Cedex, France
autor
- LAPCS, Université Claude Bernard, 50 avenue Tony Garnier, 69366 Lyon, France
autor
- Laboratoire de Physique Théorique, Université, Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-7