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Title:
Self-Similar Turbulent Dynamo
Authors:
Schekochihin, Alexander A.; Cowley, Steven C.; Maron, Jason L.; McWilliams, James C.
Affiliation:
AA(Plasma Physics Group, Imperial College, Blackett Laboratory, Prince Consort Road, London SW7 2BW, United Kingdom), AB(Plasma Physics Group, Imperial College, Blackett Laboratory, Prince Consort Road, London SW7 2BW, United Kingdom), AC(Plasma Physics Group, Imperial College, Blackett Laboratory, Prince Consort Road, London SW7 2BW, United Kingdom), AD(Plasma Physics Group, Imperial College, Blackett Laboratory, Prince Consort Road, London SW7 2BW, United Kingdom)
Publication:
Physical Review Letters, vol. 92, Issue 6, id. 064501 (PhRvL Homepage)
Publication Date:
02/2004
Origin:
APS
PACS Keywords:
Isotropic turbulence, homogeneous turbulence, Magnetohydrodynamics and plasmas
DOI:
10.1103/PhysRevLett.92.064501
Bibliographic Code:
2004PhRvL..92f4501S

Abstract

The amplification of magnetic fields in a highly conducting fluid is studied numerically. During growth, the magnetic field is spatially intermittent: it does not uniformly fill the volume, but is concentrated in long thin folded structures. Contrary to a commonly held view, intermittency of the folded field does not increase indefinitely throughout the growth stage if diffusion is present. Instead, as we show, the probability-density function (PDF) of the field-strength becomes self-similar. The normalized moments increase with magnetic Prandtl number in a powerlike fashion. We argue that the self-similarity is to be expected with a finite flow scale and system size. In the nonlinear saturated state, intermittency is reduced and the PDF is exponential. Parallels are noted with self-similar behavior recently observed for passive-scalar mixing and for map dynamos.
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