{
  "id": "0710.1771",
  "version": "v1",
  "published": "2007-10-09T13:50:25.000Z",
  "updated": "2007-10-09T13:50:25.000Z",
  "title": "Crystallization and melting of bacteria colonies and Brownian Bugs",
  "authors": [
    "Francisco Ramos",
    "Cristobal Lopez",
    "E. Hernandez-Garcia",
    "Miguel A. Munoz"
  ],
  "comment": "13 Figures. 14 pages. Submitted to Phys. Rev. E",
  "doi": "10.1103/PhysRevE.77.021102",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Motivated by the existence of remarkably ordered cluster arrays of bacteria colonies growing in Petri dishes and related problems, we study the spontaneous emergence of clustering and patterns in a simple nonequilibrium system: the individual-based interacting Brownian bug model. We map this discrete model into a continuous Langevin equation which is the starting point for our extensive numerical analyses. For the two-dimensional case we report on the spontaneous generation of localized clusters of activity as well as a melting/freezing transition from a disordered or isotropic phase to an ordered one characterized by hexagonal patterns. We study in detail the analogies and differences with the well-established Kosterlitz-Thouless-Halperin-Nelson-Young theory of equilibrium melting, as well as with another competing theory. For that, we study translational and orientational correlations and perform a careful defect analysis. We find a non standard one-stage, defect-mediated, transition whose nature is only partially elucidated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-09T13:50:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.50.Ey",
      "05.10.Gg",
      "87.18.Ed"
    ],
    "keywords": [
      "bacteria colonies",
      "crystallization",
      "non standard one-stage",
      "simple nonequilibrium system",
      "individual-based interacting brownian bug model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "Feb",
      "volume": 77,
      "number": 2,
      "pages": "021102"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvE..77b1102R"
    }
  }
}