{
  "id": "cond-mat/0205467",
  "version": "v2",
  "published": "2002-05-22T23:56:40.000Z",
  "updated": "2002-11-21T23:12:38.000Z",
  "title": "Stochastic processes and conformal invariance",
  "authors": [
    "Jan de Gier",
    "Bernard Nienhuis",
    "Paul A. Pearce",
    "Vladimir Rittenberg"
  ],
  "comment": "4 pages, 6 figures, revtex4. v2: change of title and minor corrections",
  "journal": "Phys. Rev. E 67 (2003) 016101-016104",
  "doi": "10.1103/PhysRevE.67.016101",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We discuss a one-dimensional model of a fluctuating interface with a dynamic exponent $z=1$. The events that occur are adsorption, which is local, and desorption which is non-local and may take place over regions of the order of the system size. In the thermodynamic limit, the time dependence of the system is given by characters of the $c=0$ conformal field theory of percolation. This implies in a rigorous way a connection between CFT and stochastic processes. The finite-size scaling behavior of the average height, interface width and other observables are obtained. The avalanches produced during desorption are analyzed and we show that the probability distribution of the avalanche sizes obeys finite-size scaling with new critical exponents.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-11-21T23:12:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic processes",
      "conformal invariance",
      "conformal field theory",
      "one-dimensional model",
      "avalanche sizes obeys finite-size scaling"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}