{
  "id": "cond-mat/0009365",
  "version": "v1",
  "published": "2000-09-22T22:31:50.000Z",
  "updated": "2000-09-22T22:31:50.000Z",
  "title": "Critical dimensions of the diffusion equation",
  "authors": [
    "T. J. Newman",
    "Will Loinaz"
  ],
  "comment": "4 pages, 5 figures",
  "journal": "Phys.Rev.Lett.86:2712-2715,2001",
  "doi": "10.1103/PhysRevLett.86.2712",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat",
    "hep-th",
    "nlin.CG",
    "physics.atom-ph"
  ],
  "abstract": "We study the evolution of a random initial field under pure diffusion in various space dimensions. From numerical calculations we find that the persistence properties of the system show sharp transitions at critical dimensions d1 ~ 26 and d2 ~ 46. We also give refined measurements of the persistence exponents for low dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-09-22T22:31:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffusion equation",
      "random initial field",
      "critical dimensions d1",
      "low dimensions",
      "sharp transitions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 551704
    }
  }
}