{
  "id": "1004.2725",
  "version": "v4",
  "published": "2010-04-15T21:59:37.000Z",
  "updated": "2012-03-14T19:05:02.000Z",
  "title": "Origins of scaling relations in nonequilibrium growth",
  "authors": [
    "Carlos Escudero",
    "Elka Korutcheva"
  ],
  "journal": "J. Phys. A: Math. Theor. 45 (2012) 125005",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mtrl-sci",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Scaling and hyperscaling laws provide exact relations among critical exponents describing the behavior of a system at criticality. For nonequilibrium growth models with a conserved drift there exist few of them. One such relation is $\\alpha +z=4$, found to be inexact in a renormalization group calculation for several classical models in this field. Herein we focus on the two-dimensional case and show that it is possible to construct conserved surface growth equations for which the relation $\\alpha +z=4$ is exact in the renormalization group sense. We explain the presence of this scaling law in terms of the existence of geometric principles dominating the dynamics.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-03-14T19:05:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scaling relations",
      "construct conserved surface growth equations",
      "renormalization group calculation",
      "nonequilibrium growth models",
      "renormalization group sense"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2725E"
    }
  }
}