{
  "id": "1010.5139",
  "version": "v1",
  "published": "2010-10-25T14:19:03.000Z",
  "updated": "2010-10-25T14:19:03.000Z",
  "title": "Finite size scaling of current fluctuations in the totally asymmetric exclusion process",
  "authors": [
    "Mieke Gorissen",
    "Carlo Vanderzande"
  ],
  "comment": "18 pages, 11 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the fluctuations of the current J(t) of the totally asymmetric exclusion process with open boundaries. Using a density matrix renormalization group approach, we calculate the cumulant generating function of the current. This function can be interpreted as a free energy for an ensemble in which histories are weighted by exp(-sJ(t)). We show that in this ensemble the model has a first order space-time phase transition at s=0. We numerically determine the finite size scaling of the cumulant generating function near this phase transition, both in the non-equilibrium steady state and for large times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-25T14:19:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "totally asymmetric exclusion process",
      "finite size scaling",
      "current fluctuations",
      "matrix renormalization group approach",
      "first order space-time phase transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/44/11/115005",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Mar",
      "volume": 44,
      "number": 11,
      "pages": 115005
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44k5005G"
    }
  }
}