{
  "id": "1105.0352",
  "version": "v1",
  "published": "2011-05-02T15:16:56.000Z",
  "updated": "2011-05-02T15:16:56.000Z",
  "title": "Frozen shuffle update for an asymmetric exclusion process on a ring",
  "authors": [
    "C. Appert-Rolland",
    "J. Cividini",
    "H. J. Hilhorst"
  ],
  "comment": "16 pages",
  "categories": [
    "cond-mat.stat-mech",
    "physics.soc-ph"
  ],
  "abstract": "We introduce a new rule of motion for a totally asymmetric exclusion process (TASEP) representing pedestrian traffic on a lattice. Its characteristic feature is that the positions of the pedestrians, modeled as hard-core particles, are updated in a fixed predefined order, determined by a phase attached to each of them. We investigate this model analytically and by Monte Carlo simulation on a one-dimensional lattice with periodic boundary conditions. At a critical value of the particle density a transition occurs from a phase with `free flow' to one with `jammed flow'. We are able to analytically predict the current-density diagram for the infinite system and to find the scaling function that describes the finite size rounding at the transition point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-02T15:16:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "frozen shuffle update",
      "periodic boundary conditions",
      "totally asymmetric exclusion process",
      "monte carlo simulation",
      "current-density diagram"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2011/07/P07009",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2011,
      "month": "Jul",
      "volume": 2011,
      "number": 7,
      "pages": 7009
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JSMTE..07..009A"
    }
  }
}