{
  "id": "cond-mat/0108106",
  "version": "v2",
  "published": "2001-08-06T14:19:26.000Z",
  "updated": "2001-09-24T16:31:58.000Z",
  "title": "Numerical Solution of the Mode-Coupling Equations for the Kardar-Parisi-Zhang Equation in One Dimension",
  "authors": [
    "Francesca Colaiori",
    "M. A. Moore"
  ],
  "comment": "4 pages, 3 figures. Improoved figures and further comparison with the exact result",
  "doi": "10.1103/PhysRevE.65.017105",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We have studied the Kardar-Parisi-Zhang equation in the strong coupling regime in the mode-coupling approximation. We solved numerically in dimension d=1 for the correlation function at wavevector k. At large times t we found the predicted stretched exponential decay consistent with our previous saddle point analysis in [Phys. Rev. E {\\bf 63}, 057103 (2001)], but we also observed that the decay to zero occurred in an unexpected oscillatory way. We have compared the results from mode-coupling for the scaling functions with the recent exact results from Praehofer and Spohn [cond-mat/0101200] for d=1 who also find an oscillatory decay to zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-09-24T16:31:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kardar-parisi-zhang equation",
      "mode-coupling equations",
      "numerical solution",
      "predicted stretched exponential decay consistent",
      "saddle point analysis"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}