{
  "id": "1209.4385",
  "version": "v2",
  "published": "2012-09-19T22:51:04.000Z",
  "updated": "2012-10-25T16:52:14.000Z",
  "title": "Eden clusters in three-dimensions and the Kardar-Parisi-Zhang universality class",
  "authors": [
    "Sidiney G. Alves",
    "Silvio C. Ferreira"
  ],
  "comment": "5 pages, 4 figures, published at JSTAT",
  "journal": "stacks.iop.org/JSTAT/2012/P10011",
  "doi": "10.1088/1742-5468/2012/10/P10011",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We present large-scale simulations of radial Eden clusters in three-dimensions and show that the growth exponent is in agreement with the value $\\beta=0.242$ accepted for the Kardar-Parisi-Zhang (KPZ) universality class. Our results refute a recent assertion proposing that radial Eden growth in $d=3$ belongs to a universality class distinct from KPZ. We associate the previously reported discrepancy to a slow convergence to the asymptotic limit. We also present the skewness and kurtosis in the roughening regime for flat geometry in 2+1 dimensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-25T16:52:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kardar-parisi-zhang universality class",
      "three-dimensions",
      "radial eden clusters",
      "universality class distinct",
      "radial eden growth"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4385A"
    }
  }
}