Inverse cascades and time-dependent dynamos in MHD flows

Inverse cascades resulting from non-linear alpha effect dynamo and hydrodynamic anisotropic kinetic alpha instabilities are interpreted in terms of heteroclinic connections between one-dimensional steady cellular solutions of the equations governing the large-scale dynamics. It is further shown that...

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Bibliographic Details
Published in:Physica. D 1991-01, Vol.47 (3), p.416-426
Main Authors: Galanti, B., Sulem, P.L., Gilbert, A.D.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Exact sciences and technology
Physics
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Summary:Inverse cascades resulting from non-linear alpha effect dynamo and hydrodynamic anisotropic kinetic alpha instabilities are interpreted in terms of heteroclinic connections between one-dimensional steady cellular solutions of the equations governing the large-scale dynamics. It is further shown that the interaction of these instabilities can lead to periodic or chaotic dynamos after the inverse cascade has developed.
ISSN:0167-2789
1872-8022
DOI:10.1016/0167-2789(91)90039-C