{
  "id": "cond-mat/0204074",
  "version": "v1",
  "published": "2002-04-03T11:30:17.000Z",
  "updated": "2002-04-03T11:30:17.000Z",
  "title": "Anomalous tag diffusion in the asymmetric exclusion model with particles of arbitrary sizes",
  "authors": [
    "Anderson A. Ferreira",
    "Francisco C. Alcaraz"
  ],
  "comment": "4 pages, 3 figures",
  "journal": "Phys. Rev. E, vol 65, 052102 (2002)",
  "doi": "10.1103/PhysRevE.65.052102",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "Anomalous behavior of correlation functions of tagged particles are studied in generalizations of the one dimensional asymmetric exclusion problem. In these generalized models the range of the hard-core interactions are changed and the restriction of relative ordering of the particles is partially brocken. The models probing these effects are those of biased diffusion of particles having size S=0,1,2,..., or an effective negative \"size\" S=-1,-2,..., in units of lattice space. Our numerical simulations show that irrespective of the range of the hard-core potential, as long some relative ordering of particles are kept, we find suitable sliding-tag correlation functions whose fluctuations growth with time anomalously slow ($t^{{1/3}}$), when compared with the normal diffusive behavior ($t^{{1/2}}$). These results indicate that the critical behavior of these stochastic models are in the Kardar-Parisi-Zhang (KPZ) universality class. Moreover a previous Bethe-ansatz calculation of the dynamical critical exponent $z$, for size $S \\geq 0$ particles is extended to the case $S<0$ and the KPZ result $z=3/2$ is predicted for all values of $S \\in {Z}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-04-03T11:30:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymmetric exclusion model",
      "anomalous tag diffusion",
      "arbitrary sizes",
      "dimensional asymmetric exclusion problem",
      "suitable sliding-tag correlation functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}