{
  "id": "1303.1069",
  "version": "v1",
  "published": "2013-03-05T15:31:57.000Z",
  "updated": "2013-03-05T15:31:57.000Z",
  "title": "A kinetic model and scaling properties for non-equilibrium clustering of self-propelled particles",
  "authors": [
    "Fernando Peruani",
    "Markus Baer"
  ],
  "journal": "Fernando Peruani and Markus Baer, New J. Phys. 15, 065009 (2013)",
  "doi": "10.1088/1367-2630/15/6/065009",
  "categories": [
    "cond-mat.stat-mech",
    "physics.bio-ph"
  ],
  "abstract": "We demonstrate that the clustering statistics and the corresponding phase transition to non-equilibrium clustering found in many experiments and simulation studies with self-propelled particles (SPPs) with alignment can be obtained from a simple kinetic model. The key elements of this approach are the scaling of the cluster cross-section with the cluster mass -- characterized by an exponent $\\alpha$ -- and the scaling of the cluster perimeter with the cluster mass -- described by an exponent $\\beta$. The analysis of the kinetic approach reveals that the SPPs exhibit two phases: i) an individual phase, where the cluster size distribution (CSD) is dominated by an exponential tail that defines a characteristic cluster size, and ii) a collective phase characterized by the presence of non-monotonic CSD with a local maximum at large cluster sizes. At the transition between these two phases the CSD is well described by a power-law with a critical exponent $\\gamma$, which is a function of $\\alpha$ and $\\beta$ only. The critical exponent is found to be in the range $0.8 < \\gamma < 1.5$ in line with observations in experiments and simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-05T15:31:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-propelled particles",
      "non-equilibrium clustering",
      "scaling properties",
      "cluster mass",
      "critical exponent"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "New Journal of Physics",
      "year": 2013,
      "month": "Jun",
      "volume": 15,
      "number": 6,
      "pages": "065009"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013NJPh...15f5009P"
    }
  }
}