{
  "id": "cond-mat/0407386",
  "version": "v1",
  "published": "2004-07-15T14:43:09.000Z",
  "updated": "2004-07-15T14:43:09.000Z",
  "title": "On the analogy between self-gravitating Brownian particles and bacterial populations",
  "authors": [
    "P. H. Chavanis",
    "M. Ribot",
    "C. Rosier",
    "C. Sire"
  ],
  "journal": "Banach Center Publ. 66 (2004) 103",
  "categories": [
    "cond-mat.stat-mech",
    "astro-ph"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-15T14:43:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-gravitating brownian particles",
      "bacterial populations",
      "small-scale regularization",
      "finite time singularity",
      "smoluchowski-poisson system corresponds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 669262,
      "adsabs": "2004cond.mat..7386C"
    }
  }
}