Fluctuations in Quasi-Two-Dimensional Fast Dynamos

Details Fluctuations in Quasi-Two-Dimensional Fast Dynamos Fluctuations in Quasi-Two-Dimensional Fast Dynamos

Aug 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvl..75.1522c&link_type=abstract

Physical Review Letters, Volume 75, Issue 8, August 21, 1995, pp.1522-1525

Physics

28

Scientific paper

The ratio R1 between the average magnetic energy and the square-averaged flux plays an important role in the study of nonlinear dynamos, as a measure of the efficiency of a dynamo at generating flux. For large values of Rm, R1 displays a scaling behavior of the type R1~R nm, where Rm is the magnetic Reynolds number. We show by direct numerical evaluation that n depends sensitively on the flow complexity for small-scale dynamos. Furthermore, by relating n to the cancellation exponent and the correlation dimension of the magnetic field, we argue that n is not likely to be close to zero in general.

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