{
  "id": "cond-mat/0412129",
  "version": "v1",
  "published": "2004-12-06T13:02:21.000Z",
  "updated": "2004-12-06T13:02:21.000Z",
  "title": "Zero-range process with open boundaries",
  "authors": [
    "E. Levine",
    "D. Mukamel",
    "G. M. Schutz"
  ],
  "doi": "10.1007/s10955-005-7000-7",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We calculate the exact stationary distribution of the one-dimensional zero-range process with open boundaries for arbitrary bulk and boundary hopping rates. When such a distribution exists, the steady state has no correlations between sites and is uniquely characterized by a space-dependent fugacity which is a function of the boundary rates and the hopping asymmetry. For strong boundary drive the system has no stationary distribution. In systems which on a ring geometry allow for a condensation transition, a condensate develops at one or both boundary sites. On all other sites the particle distribution approaches a product measure with the finite critical density \\rho_c. In systems which do not support condensation on a ring, strong boundary drive leads to a condensate at the boundary. However, in this case the local particle density in the interior exhibits a complex algebraic growth in time. We calculate the bulk and boundary growth exponents as a function of the system parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-06T13:02:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open boundaries",
      "strong boundary drive",
      "one-dimensional zero-range process",
      "exact stationary distribution",
      "particle distribution approaches"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}