Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-06-28
Phys. Rev. Lett. 92, 064501 (2004)
Nonlinear Sciences
Chaotic Dynamics
revtex, 4 pages, 5 figures; minor changes to match published version
Scientific paper
10.1103/PhysRevLett.92.064501
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.
Cowley Steve C.
Maron Jason L.
McWilliams James C.
Schekochihin Alexander A.
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