{
  "id": "0911.2377",
  "version": "v1",
  "published": "2009-11-12T13:07:04.000Z",
  "updated": "2009-11-12T13:07:04.000Z",
  "title": "Groebli solution for three magnetic vortices",
  "authors": [
    "S. Komineas",
    "N. Papanicolaou"
  ],
  "comment": "19 pages, 6 figures",
  "journal": "J. Math. Phys. 51, 042705 (2010)",
  "doi": "10.1063/1.3393506",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The dynamics of N point vortices in a fluid is described by the Helmholtz-Kirchhoff (HK) equations which lead to a completely integrable Hamiltonian system for N=2 or 3 but chaotic dynamics for N>3. Here we consider a generalization of the HK equations to describe the dynamics of magnetic vortices within a collective-coordinate approximation. In particular, we analyze in detail the dynamics of a system of three magnetic vortices by a suitable generalization of the solution for three point vortices in an ordinary fluid obtained by Groebli more than a century ago. The significance of our results for the dynamics of ferromagnetic elements is briefly discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-12T13:07:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.40.Gb",
      "75.70.Kw",
      "75.60.Ej"
    ],
    "keywords": [
      "magnetic vortices",
      "groebli solution",
      "point vortices",
      "ferromagnetic elements",
      "ordinary fluid"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2010,
      "month": "Apr",
      "volume": 51,
      "number": 4,
      "pages": 2705
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JMP....51d2705K"
    }
  }
}