{
  "id": "cond-mat/0109443",
  "version": "v1",
  "published": "2001-09-24T21:59:06.000Z",
  "updated": "2001-09-24T21:59:06.000Z",
  "title": "Growth Exponent in the Domany-Kinzel Cellular Automaton",
  "authors": [
    "A. P. F. Atman",
    "J. G. Moreira"
  ],
  "comment": "13 pages, 6 figures",
  "journal": "Eur. Phys. J. B, 16 (2000) pp. 501-505",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In a roughening process, the growth exponent $\\beta$ describes how the roughness $w$ grows with the time $t$: $w\\sim t^{\\beta}$. We determine the exponent $\\beta$ of a growth process generated by the spatiotemporal patterns of the one dimensional Domany-Kinzel cellular automaton. The values obtained for $\\beta$ shows a cusp at the frozen/active transition which permits determination of the transition line. The $\\beta$ value at the transition depends on the scheme used: symmetric ($\\beta \\sim 0.83$) or non-symmetric ($\\beta \\sim 0.61$). Using damage spreading ideas, we also determine the active/chaotic transition line; this line depends on how the replicas are updated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-09-24T21:59:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.10.-a",
      "02.50.-r"
    ],
    "keywords": [
      "growth exponent",
      "dimensional domany-kinzel cellular automaton",
      "active/chaotic transition line",
      "spatiotemporal patterns",
      "line depends"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s100510070209",
      "journal": "European Physical Journal B",
      "year": 2000,
      "month": "Jul",
      "volume": 16,
      "number": 3,
      "pages": 501
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000EPJB...16..501A"
    }
  }
}