{
  "id": "cond-mat/9908343",
  "version": "v1",
  "published": "1999-08-24T21:01:54.000Z",
  "updated": "1999-08-24T21:01:54.000Z",
  "title": "Theoretical Continuous Equation Derived from the Microscopic Dynamics for Growing Interfaces in Quenched Media",
  "authors": [
    "L. A. Braunstein",
    "R. C. Buceta",
    "C. D. Archubi",
    "G. Costanza"
  ],
  "comment": "8 pages, 4 figures. Submitted to Phys. Rev. E (Rapid Comunication)",
  "doi": "10.1103/PhysRevE.62.3920",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We present an analytical continuous equation for the Tang and Leschhorn model [Phys. Rev A {\\bf 45}, R8309 (1992)] derived from his microscopic rules using a regularization procedure. As well in this approach the nonlinear term $(\\nabla h)^2$ arises naturally from the microscopic dynamics even if the continuous equation is not the Kardar-Parisi-Zhang equation [Phys. Rev. Lett. {\\bf 56}, 889 (1986)] with quenched noise (QKPZ). Our equation looks like a QKPZ but with multiplicative quenched and thermal noise. The numerical integration of our equation reproduce the scaling exponents of the roughness of this directed percolation depinning model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-08-24T21:01:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "theoretical continuous equation",
      "microscopic dynamics",
      "quenched media",
      "growing interfaces",
      "regularization procedure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}