{
  "id": "cond-mat/0601038",
  "version": "v2",
  "published": "2006-01-03T08:51:33.000Z",
  "updated": "2006-08-03T13:33:24.000Z",
  "title": "Boltzmann and hydrodynamic description for self-propelled particles",
  "authors": [
    "Eric Bertin",
    "Michel Droz",
    "Guillaume Gregoire"
  ],
  "comment": "4 pages, 3 figures, final version",
  "journal": "Phys. Rev. E 74, 022101 (2006)",
  "doi": "10.1103/PhysRevE.74.022101",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study analytically the emergence of spontaneous collective motion within large bidimensional groups of self-propelled particles with noisy local interactions, a schematic model for assemblies of biological organisms. As a central result, we derive from the individual dynamics the hydrodynamic equations for the density and velocity fields, thus giving a microscopic foundation to the phenomenological equations used in previous approaches. A homogeneous spontaneous motion emerges below a transition line in the noise-density plane. Yet, this state is shown to be unstable against spatial perturbations, suggesting that more complicated structures should eventually appear.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-03T13:33:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-propelled particles",
      "hydrodynamic description",
      "large bidimensional groups",
      "noisy local interactions",
      "central result"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}