{
  "id": "cond-mat/9709008",
  "version": "v1",
  "published": "1997-09-01T10:39:03.000Z",
  "updated": "1997-09-01T10:39:03.000Z",
  "title": "Anomaly in Numerical Integrations of the KPZ Equation and Improved Discretization",
  "authors": [
    "Chi-Hang Lam",
    "F. G. Shin"
  ],
  "comment": "14 pages, 3 figures, RevTex",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We demonstrate and explain that conventional finite difference schemes for direct numerical integration do not approximate the continuum Kardar-Parisi-Zhang (KPZ) equation due to microscopic roughness. The effective diffusion coefficient is found to be inconsistent with the nominal one. We propose a novel discretization in 1+1 dimensions which does not suffer from this deficiency and elucidates the reliability and limitations of direct integration approaches.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-09-01T10:39:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kpz equation",
      "conventional finite difference schemes",
      "direct integration approaches",
      "continuum kardar-parisi-zhang",
      "novel discretization"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997cond.mat..9008L"
    }
  }
}