{
  "id": "cond-mat/0301156",
  "version": "v2",
  "published": "2003-01-10T17:49:10.000Z",
  "updated": "2003-01-29T18:39:50.000Z",
  "title": "Dynamics of condensation in zero-range processes",
  "authors": [
    "C. Godreche"
  ],
  "comment": "18 pages, 8 figures 2 figures added, more accurate data at criticality",
  "journal": "J. Phys. A 36 (2003) 6313",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The dynamics of a class of zero-range processes exhibiting a condensation transition in the stationary state is studied. The system evolves in time starting from a random disordered initial condition. The analytical study of the large-time behaviour of the system in its mean-field geometry provides a guide for the numerical study of the one-dimensional version of the model. Most qualitative features of the mean-field case are still present in the one-dimensional system, both in the condensed phase and at criticality. In particular the scaling analysis, valid for the mean-field system at large time and for large values of the site occupancy, still holds in one dimension. The dynamical exponent $z$, characteristic of the growth of the condensate, is changed from its mean-field value 2 to 3. In presence of a bias, the mean-field value $z=2$ is recovered. The dynamical exponent $z_c$, characteristic of the growth of critical fluctuations, is changed from its mean-field value 2 to a larger value, $z_c\\simeq 5$. In presence of a bias, $z_c\\simeq 3$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-01-29T18:39:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "zero-range processes",
      "mean-field value",
      "random disordered initial condition",
      "dynamical exponent",
      "system evolves"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003cond.mat..1156G"
    }
  }
}