Saturated State of the Nonlinear Small-Scale Dynamo

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dc.creatorSchekochihin, A. A.
dc.creatorCowley, S. C.
dc.creatorTaylor, S. F.
dc.creatorHammett, G. W.
dc.creatorMaron, J. L.
dc.creatorMcWilliams, J. C.
dc.date2003-08-14
dc.date2004-03-04
dc.date.accessioned2026-07-07T10:47:40Z
dc.date.available2026-07-07T10:47:40Z
dc.descriptionWe consider the problem of incompressible, forced, nonhelical, homogeneous and isotropic MHD turbulence with no mean magnetic field and large magnetic Prandtl number. This type of MHD turbulence is the end state of the turbulent dynamo, which generates folded fields with small-scale direction reversals. We propose a model in which saturation is achieved as a result of the velocity statistics becoming anisotropic with respect to the local direction of the magnetic folds. The model combines the effects of weakened stretching and quasi-two-dimensional mixing and produces magnetic-energy spectra in remarkable agreement with numerical results at least in the case of a one-scale flow. We conjecture that the statistics seen in numerical simulations could be explained as a superposition of these folded fields and Alfvén-like waves that propagate along the folds.
dc.descriptionrevtex, 4 pages, 2 figures; minor changes to match published version
dc.identifierhttps://arxiv.org/abs/astro-ph/0308252
dc.identifierhttp://arxiv.org/abs/astro-ph/0308252
dc.identifierPhys.Rev.Lett.92:084504,2004
dc.identifierdoi:10.1103/PhysRevLett.92.084504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183615
dc.subjectAstrophysics
dc.subjectChaotic Dynamics
dc.subjectPlasma Physics
dc.titleSaturated State of the Nonlinear Small-Scale Dynamo
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