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Phys. Rev. Lett. 60, 760–763 (1988)

Chaotic flows and magnetic dynamos

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John M. Finn and Edward Ott
Laboratory for Plasma and Fusion Energy Studies, University of Maryland, College Park, Maryland 20742

Received 3 November 1987; published in the issue dated 29 February 1988

Examples of time-dependent kinematic magnetic dynamos arising from chaotic flows in the zero-resistivity limit are presented. These examples suggest that typically (1) the flux concentrates on a fractal, and (2) the magnetic field exhibits arbitrarily fine-scaled oscillations between parallel and antiparallel directions. Results quantitatively relating these effects to the dynamo growth rate are presented.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.60.760
DOI:
10.1103/PhysRevLett.60.760
PACS:
05.45.+b, 47.20.Tg, 52.30.-q