{
  "id": "1311.3991",
  "version": "v1",
  "published": "2013-11-15T22:21:00.000Z",
  "updated": "2013-11-15T22:21:00.000Z",
  "title": "Analyzing Capture Zone Distributions (CZD) in Growth: Theory and Applications",
  "authors": [
    "T. L. Einstein",
    "Alberto Pimpinelli",
    "Diego Luis González"
  ],
  "comment": "6 pages, 3 figures, conference paper for 17th International Conference on Crystal Growth and Epitaxy (ICCGE-17), Warsaw, Poland, Aug. 11-16, 2013, submitted for publication in different format",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We have argued that the capture-zone distribution (CZD) in submonolayer growth can be well described by the generalized Wigner distribution (GWD) $P(s)=a s^\\beta \\exp(-b s^2)$, where $s$ is the CZ area divided by its average value. This approach offers arguably the best method to find the critical nucleus size $i$, since $\\beta \\approx i + 2$. Various analytical and numerical investigations, which we discuss, show that the simple GWD expression is inadequate in the tails of the distribution, it does account well for the central regime $0.5 < s < 2$, where the data is sufficiently large to be reliably accessible experimentally. We summarize and catalog the many experiments in which this method has been applied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-15T22:21:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "analyzing capture zone distributions",
      "applications",
      "simple gwd expression",
      "average value",
      "submonolayer growth"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3991E"
    }
  }
}