{
  "id": "cond-mat/0608270",
  "version": "v2",
  "published": "2006-08-11T14:19:17.000Z",
  "updated": "2007-01-24T13:51:18.000Z",
  "title": "Exact results for curvature-driven coarsening in two dimensions",
  "authors": [
    "Jeferson J. Arenzon",
    "Alan J. Bray",
    "Leticia F. Cugliandolo",
    "Alberto Sicilia"
  ],
  "comment": "4 pages, 4 figures",
  "journal": "Phys. Rev. Lett. 98, 145701 (2007)",
  "doi": "10.1103/PhysRevLett.98.145701",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We consider the statistics of the areas enclosed by domain boundaries (`hulls') during the curvature-driven coarsening dynamics of a two-dimensional nonconserved scalar field from a disordered initial state. We show that the number of hulls per unit area that enclose an area greater than $A$ has, for large time $t$, the scaling form $N_h(A,t) = 2c/(A+\\lambda t)$, demonstrating the validity of dynamical scaling in this system, where $c=1/8\\pi\\sqrt{3}$ is a universal constant. Domain areas (regions of aligned spins) have a similar distribution up to very large values of $A/\\lambda t$. Identical forms are obtained for coarsening from a critical initial state, but with $c$ replaced by $c/2$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-24T13:51:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact results",
      "dimensions",
      "two-dimensional nonconserved scalar field",
      "similar distribution",
      "curvature-driven coarsening dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}