{
  "id": "physics/0608266",
  "version": "v4",
  "published": "2006-08-28T08:45:50.000Z",
  "updated": "2007-03-01T07:14:49.000Z",
  "title": "Clustering Analysis of Periodic Point Vortices with the $L$ Function",
  "authors": [
    "Makoto Umeki"
  ],
  "comment": "4 pages, 12 figures, to appear in JPSJ",
  "journal": "JPSJ Vol. 76 No. 4 (2007) p. 043401",
  "doi": "10.1143/JPSJ.76.043401",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "A motion of point vortices with periodic boundary conditions is studied by using Weierstrass zeta functions. Scattering and recoupling of a vortex pair by a third vortex becomes remarkable when the vortex density is large. Clustering of vortices with various initial conditions is quantitated by the $L$ function used in point process theory in spatial ecology. It is shown that clustering persists if it is initially clustered like an infinite row or a checkered pattern.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-03-01T07:14:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic point vortices",
      "clustering analysis",
      "periodic boundary conditions",
      "weierstrass zeta functions",
      "point process theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of the Physical Society of Japan",
      "year": 2007,
      "month": "Apr",
      "volume": 76,
      "number": 4,
      "pages": 43401
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007JPSJ...76d3401U"
    }
  }
}