{
  "id": "1704.03369",
  "version": "v1",
  "published": "2017-04-04T00:35:55.000Z",
  "updated": "2017-04-04T00:35:55.000Z",
  "title": "Nucleation and growth of a core-shell composite nucleus by diffusion",
  "authors": [
    "Masao Iwamatsu"
  ],
  "comment": "8 pages, 3 figures, to pe published in Physical Review E",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "The critical radius of a core-shell-type nucleus grown by diffusion in a phase-separated solution is studied. A {\\it kinetic} critical radius rather than the {\\it thermodynamic} critical radius of standard classical nucleation theory can be defined from the diffusional growth equations. It is shown that there exist two kinetic critical radii for the core-shell-type nucleus, for which both the inner core radius and the outer shell radius will be stationary. Therefore, these two critical radii correspond to a single critical point of the nucleation path with a single energy barrier even though the nucleation looks like a two-step process. The two radii are given by formulas similar to that of classical nucleation theory if the Ostwald-Freundlich boundary condition is imposed at the surface of the inner nucleus and that of the outer shell. The subsequent growth of a core-shell-type post-critical nucleus follows the classical picture of Ostwald's step rule. Our result is consistent with some of the experimental and numerical results which suggest the core-shell-type critical nucleus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-04T00:35:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "core-shell composite nucleus",
      "critical radius",
      "core-shell-type nucleus",
      "single energy barrier",
      "ostwalds step rule"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}