{
  "id": "1206.2901",
  "version": "v1",
  "published": "2012-06-13T19:24:16.000Z",
  "updated": "2012-06-13T19:24:16.000Z",
  "title": "Criticality and the Onset of Ordering in the Standard Vicsek Model",
  "authors": [
    "Gabriel Baglietto",
    "Ezequiel V. Albano",
    "Julián Candia"
  ],
  "comment": "15 pages, 4 figures. To appear in Interface Focus",
  "journal": "Interface Focus (2012) 2, 708",
  "doi": "10.1098/rsfs.2012.0021",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "physics.comp-ph"
  ],
  "abstract": "Experimental observations of animal collective behavior have shown stunning evidence for the emergence of large-scale cooperative phenomena resembling phase transitions in physical systems. Indeed, quantitative studies have found scale-free correlations and critical behavior consistent with the occurrence of continuous, second-order phase transitions. The Standard Vicsek Model (SVM), a minimal model of self-propelled particles in which their tendency to align with each other competes with perturbations controlled by a noise term, appears to capture the essential ingredients of critical flocking phenomena. In this paper, we review recent finite-size scaling and dynamical studies of the SVM, which present a full characterization of the continuous phase transition through dynamical and critical exponents. We also present a complex network analysis of SVM flocks and discuss the onset of ordering in connection with XY-like spin models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-13T19:24:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "standard vicsek model",
      "criticality",
      "cooperative phenomena resembling phase transitions",
      "large-scale cooperative phenomena resembling phase",
      "complex network analysis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.2901B"
    }
  }
}