{
  "id": "cond-mat/0304371",
  "version": "v3",
  "published": "2003-04-16T16:00:30.000Z",
  "updated": "2003-10-13T17:50:27.000Z",
  "title": "Asymptotic Scaling of the Diffusion Coefficient of Fluctuating \"Pulled\" Fronts",
  "authors": [
    "Debabrata Panja"
  ],
  "comment": "Some minor algebra corrected, to appear in Rapid Comm., Phys. Rev. E",
  "journal": "Phys. Rev. E 68, 065202(R) (2003)",
  "doi": "10.1103/PhysRevE.68.065202",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We present a (heuristic) theoretical derivation for the scaling of the diffusion coefficient $D_f$ for fluctuating ``pulled'' fronts. In agreement with earlier numerical simulations, we find that as $N\\to\\infty$, $D_f$ approaches zero as $1/\\ln^3N$, where $N$ is the average number of particles per correlation volume in the stable phase of the front. This behaviour of $D_f$ stems from the shape fluctuations at the very tip of the front, and is independent of the microscopic model.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-10-13T17:50:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffusion coefficient",
      "asymptotic scaling",
      "fluctuating",
      "microscopic model",
      "average number"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}