{
  "id": "cond-mat/0510058",
  "version": "v1",
  "published": "2005-10-03T21:45:53.000Z",
  "updated": "2005-10-03T21:45:53.000Z",
  "title": "Roughness fluctuations, roughness exponents and the universality class of ballistic deposition",
  "authors": [
    "Fabio D. A. Aarao Reis"
  ],
  "comment": "12 pages (4 figures included); to be published in Physica A",
  "doi": "10.1016/j.physa.2005.09.052",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "In order to estimate roughness exponents of interface growth models, we propose the calculation of effective exponents from the roughness fluctuation (sigma) in the steady state. We compare the finite-size behavior of these exponents and the ones calculated from the average roughness <w_2> for two models in the 2+1-dimensional Kardar-Parisi-Zhang (KPZ) class and for a model in the 1+1-dimensional Villain-Lai-Das Sarma (VLDS) class. The values obtained from sigma provide consistent asymptotic estimates, eventually with smaller finite-size corrections. For the VLDS (nonlinear molecular beam epitaxy) class, we obtain alpha=0.93+-0.01, improving previous estimates. We also apply this method to two versions of the ballistic deposition model in two-dimensional substrates, in order to clarify the controversy on its universality class raised by numerical results and a recent derivation of its continuous equation. Effective exponents calculated from sigma suggest that both versions are in the KPZ class. Additional support to this conclusion is obtained by a comparison of the full roughness distributions of those models and the distribution of other discrete KPZ models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-03T21:45:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universality class",
      "roughness fluctuation",
      "nonlinear molecular beam epitaxy",
      "estimate roughness exponents",
      "full roughness distributions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}