{
  "id": "cond-mat/9804066",
  "version": "v1",
  "published": "1998-04-06T19:03:23.000Z",
  "updated": "1998-04-06T19:03:23.000Z",
  "title": "Stochastic equation for the erosion of inclined topography",
  "authors": [
    "Romualdo Pastor-Satorras",
    "Daniel H. Rothman"
  ],
  "comment": "4 pages, RevTex, includes 3 PS figures. Phys. Rev. Lett. (in press)",
  "doi": "10.1103/PhysRevLett.80.4349",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We present a stochastic equation to model the erosion of topography with fixed inclination. The inclination causes the erosion to be anisotropic. A zero-order consequence of the anisotropy is the dependence of the prefactor of the surface height-height correlations on direction. The lowest higher-order contribution from the anisotropy is studied by applying the dynamic renormalization group. In this case, assuming an inhomogenous distribution of soil material, we find a one-loop estimate of the roughness exponents. The predicted exponents are in good agreement with new measurements made from seafloor topography.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-04-06T19:03:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic equation",
      "inclined topography",
      "dynamic renormalization group",
      "lowest higher-order contribution",
      "surface height-height correlations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}