{ "id": "0711.1237", "version": "v1", "published": "2007-11-08T10:26:44.000Z", "updated": "2007-11-08T10:26:44.000Z", "title": "Phenomenology of turbulent dynamo growth and saturation", "authors": [ "Rodion Stepanov", "Franck Plunian" ], "comment": "17 pages, 6 figures, submitted to ApJ", "doi": "10.1086/587795", "categories": [ "astro-ph" ], "abstract": "With a non local shell model of magnetohydrodynamic turbulence we investigate numerically the turbulent dynamo action for low and high magnetic Prandtl numbers ($Pm$). The results obtained in the kinematic regime and along the way to dynamo saturation are understood in terms of a phenomenological approach based on the local ($Pm\\ll 1$) or non local ($Pm\\gg 1$) nature of the energy transfers. In both cases the magnetic energy grows at small scale and saturates as an inverse `` cascade ''.", "revisions": [ { "version": "v1", "updated": "2007-11-08T10:26:44.000Z" } ], "analyses": { "keywords": [ "turbulent dynamo growth", "saturation", "non local shell model", "phenomenology", "high magnetic prandtl numbers" ], "tags": [ "journal article" ], "publication": { "journal": "The Astrophysical Journal", "year": 2008, "month": "Jun", "volume": 680, "number": 1, "pages": 809 }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 767028, "adsabs": "2008ApJ...680..809S" } } }