{
  "id": "math/0201317",
  "version": "v1",
  "published": "2002-01-31T17:41:50.000Z",
  "updated": "2002-01-31T17:41:50.000Z",
  "title": "Superdiffusivity of asymmetric exclusion process in dimensions one and two",
  "authors": [
    "C. Landim",
    "J. Quastel",
    "M. Salmhofer",
    "H. T. Yau"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as $t^{1/4}$ in dimension $d=1$ and $(\\log t)^{1/2}$ in $d=2$. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-31T17:41:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C20"
    ],
    "keywords": [
      "non-nearest neighbor asymmetric exclusion processes",
      "superdiffusivity",
      "asymmetric exclusion process diverges",
      "diffusion coefficient",
      "method applies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......1317L"
    }
  }
}