Abstract
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 language | English |
|---|---|
| Pages (from-to) | 1522-1525 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 75 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 21 Aug 1995 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Cattaneo, F., Kim, E. J., Proctor, M., & Tao, L. (1995). Fluctuations in quasi-two-dimensional fast dynamos. Physical Review Letters, 75(8), 1522-1525. https://doi.org/10.1103/PhysRevLett.75.1522