{
  "id": "1106.5777",
  "version": "v2",
  "published": "2011-06-28T19:42:27.000Z",
  "updated": "2011-09-28T04:17:17.000Z",
  "title": "Nonlinear small-scale dynamos at low magnetic Prandtl numbers",
  "authors": [
    "Axel Brandenburg"
  ],
  "comment": "7 pages, 6 figures, ApJ, in print",
  "journal": "Astrophys. J. 741, 92 (2011)",
  "doi": "10.1088/0004-637X/741/2/92",
  "categories": [
    "astro-ph.SR"
  ],
  "abstract": "Saturated small-scale dynamo solutions driven by isotropic non-helical turbulence are presented at low magnetic Prandtl numbers Pm down to 0.01. For Pm < 0.1, most of the energy is dissipated via Joule heat and, in agreement with earlier results for helical large-scale dynamos, kinetic energy dissipation is shown to diminish proportional to Pm^{1/2} down to values of 0.1. In agreement with earlier work, there is, in addition to a short Golitsyn k^{-11/3} spectrum near the resistive scale also some evidence for a short k^{-1} spectrum on larger scales. The rms magnetic field strength of the small-scale dynamo is found to depend only weakly on the value of Pm and decreases by about a factor of 2 as Pm is decreased from 1 to 0.01. The possibility of dynamo action at Pm=0.1 in the nonlinear regime is argued to be a consequence of a suppression of the bottleneck seen in the kinetic energy spectrum in the absence of a dynamo and, more generally, a suppression of kinetic energy near the dissipation wavenumber.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-28T04:17:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear small-scale dynamos",
      "small-scale dynamo solutions driven",
      "kinetic energy",
      "low magnetic prandtl numbers pm",
      "rms magnetic field strength"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "The Astrophysical Journal",
      "year": 2011,
      "month": "Nov",
      "volume": 741,
      "number": 2,
      "pages": 92
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 916410,
      "adsabs": "2011ApJ...741...92B"
    }
  }
}