{
  "id": "cond-mat/0410706",
  "version": "v1",
  "published": "2004-10-27T12:30:03.000Z",
  "updated": "2004-10-27T12:30:03.000Z",
  "title": "Discretisation effects and the influence of walking speed in cellular automata models for pedestrian dynamics",
  "authors": [
    "Ansgar Kirchner",
    "Hubert Kluepfel",
    "Katsuhiro Nishinari",
    "Andreas Schadschneider",
    "Michael Schreckenberg"
  ],
  "comment": "22 pages, 15 figures, to appear in J. Stat. Mech.: Theor. Exp",
  "doi": "10.1088/1742-5468/2004/10/P10011",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study discretisation effects in cellular automata models for pedestrian dynamics by reducing the cell size. Then a particle occupies more than one cell which leads to subtle effects in the dynamics, e.g. non-local conflict situations. Results from computer simulations of the floor field model are compared with empirical findings. Furthermore the influence of increasing the maximal walking speed $v_{{\\rm max}}$ is investigated by increasing the interaction range beyond nearest neighbour interactions. The extension of the model to $v_{{\\rm max}}>1$ turns out to be a severe challenge which can be solved in different ways. Four major variants are discussed that take into account different dynamical aspects. The variation of $v_{{\\rm max}}$ has strong influence on the shape of the flow-density relation. We show that walking speeds $v_{{\\rm max}}>1$ lead to results which are in very good agreement with empirical data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-27T12:30:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cellular automata models",
      "pedestrian dynamics",
      "floor field model",
      "study discretisation effects"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}