{
  "id": "cond-mat/0207404",
  "version": "v1",
  "published": "2002-07-16T17:29:52.000Z",
  "updated": "2002-07-16T17:29:52.000Z",
  "title": "The process of irreversible nucleation in multilayer growth. II. Exact results in one and two dimensions",
  "authors": [
    "Paolo Politi",
    "Claudio Castellano"
  ],
  "comment": "22 pages, 10 figures. To appear in Phys. Rev. E",
  "journal": "Phys. Rev. E 66, 031606 (2002)",
  "doi": "10.1103/PhysRevE.66.031606",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study irreversible dimer nucleation on top of terraces during epitaxial growth in one and two dimensions, for all values of the step-edge barrier. The problem is solved exactly by transforming it into a first passage problem for a random walker in a higher-dimensional space. The spatial distribution of nucleation events is shown to differ markedly from the mean-field estimate except in the limit of very weak step-edge barriers. The nucleation rate is computed exactly, including numerical prefactors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-16T17:29:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact results",
      "multilayer growth",
      "irreversible nucleation",
      "dimensions",
      "weak step-edge barriers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}