Turbulent dynamo as a result of non-coherent overlap of localized magnetic field perturbations

Statistical properties of a statistically homogeneous random magnetic field in a viscous diffusive fluid are derived from the evolution of a single blob of the magnetic field. It is shown that, although the magnetic field of a single blob decreases in time, the volume occupied by the magnetic field...

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Bibliographic Details
Published in:Physica scripta 2019-06, Vol.94 (6), p.64001
Main Authors: Il'yn, A S, Sirota, V A, Zybin, K P
Format: Article
Language:English
Subjects:
magnetohydrodynamics
passive vector advection
turbulence
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Summary:Statistical properties of a statistically homogeneous random magnetic field in a viscous diffusive fluid are derived from the evolution of a single blob of the magnetic field. It is shown that, although the magnetic field of a single blob decreases in time, the volume occupied by the magnetic field and its energy increase; this is the cause of the magnetic field growth in a homogeneous medium. We also get an exact expression for the increment of the magnetic field in the generalized (not time-inversible) Kraichnan model.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ab0998