{
  "id": "0804.4094",
  "version": "v1",
  "published": "2008-04-25T11:59:47.000Z",
  "updated": "2008-04-25T11:59:47.000Z",
  "title": "Scaling properties of the asymmetric exclusion process with long-range hopping",
  "authors": [
    "J. Szavits-Nossan",
    "K. Uzelac"
  ],
  "comment": "10 pages, 8 figures",
  "journal": "Phys. Rev. E 77, 051116 (2008)",
  "doi": "10.1103/PhysRevE.77.051116",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The exclusion process in which particles may jump any distance l>=1 with the probability that decays as l^-(1+sigma) is studied from coarse-grained equation for density profile in the limit when the lattice spacing goes to zero. For 1<sigma<2, the usual diffusion term of this equation is replaced by the fractional one, which affects dynamical-scaling properties of the late-time approach to the stationary state. When applied to an open system with totally asymmetric hopping, this approach gives two results: first, it accounts for the sigma-dependent exponent that characterizes the algebraic decay of density profile in the maximum-current phase for 1<sigma<2, and second, it shows that in this region of sigma the exponent is of the mean-field type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-25T11:59:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.50.Ey",
      "05.40.-a",
      "05.60.-k"
    ],
    "keywords": [
      "asymmetric exclusion process",
      "long-range hopping",
      "usual diffusion term",
      "affects dynamical-scaling properties",
      "maximum-current phase"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "May",
      "volume": 77,
      "number": 5,
      "pages": "051116"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvE..77e1116S"
    }
  }
}