Saturated State of the Nonlinear Small-Scale Dynamo

Details Saturated State of the Nonlinear Small-Scale Dynamo Saturated State of the Nonlinear Small-Scale Dynamo

2003-08-14

arxiv.org/abs/astro-ph/0308252v2

Phys.Rev.Lett.92:084504,2004

Astronomy and Astrophysics

Astrophysics

revtex, 4 pages, 2 figures; minor changes to match published version

Scientific paper

10.1103/PhysRevLett.92.084504

We 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 Alfv\'en-like waves that propagate along the folds.

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