{
  "id": "cond-mat/0610510",
  "version": "v1",
  "published": "2006-10-18T14:04:37.000Z",
  "updated": "2006-10-18T14:04:37.000Z",
  "title": "Totally asymmetric exclusion process with long-range hopping",
  "authors": [
    "J. Szavits-Nossan",
    "K. Uzelac"
  ],
  "comment": "10 pages, 9 figures",
  "journal": "Phys. Rev. E 74, 051104 (2006)",
  "doi": "10.1103/PhysRevE.74.051104",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Generalization of the one-dimensional totally asymmetric exclusion process (TASEP) with open boundary conditions in which particles are allowed to jump $l$ sites ahead with the probability $p_l\\sim 1/l^{\\sigma+1}$ is studied by Monte Carlo simulations and the domain-wall approach. For $\\sigma>1$ the standard TASEP phase diagram is recovered, but the density profiles near the transition lines display new features when $1<\\sigma<2$. At the first-order transition line, the domain-wall is localized and phase separation is observed. In the maximum-current phase the profile has an algebraic decay with a $\\sigma$-dependent exponent. Within the $\\sigma \\leq 1$ regime, where the transitions are found to be absent, analytical results in the continuum mean-field approximation are derived in the limit $\\sigma=-1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-18T14:04:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range hopping",
      "one-dimensional totally asymmetric exclusion process",
      "standard tasep phase diagram",
      "first-order transition line",
      "monte carlo simulations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}