Fluctuations in quasi-two-dimensional fast dynamos

Fausto Cattaneo, Eun Jin Kim, Michael Proctor, Louis Tao

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


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∼Rm n, 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.

Original languageEnglish
Pages (from-to)1522-1525
Number of pages4
JournalPhysical Review Letters
Issue number8
Publication statusPublished - 21 Aug 1995
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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