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 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Fluctuations in quasi-two-dimensional fast dynamos. / Cattaneo, Fausto; Kim, Eun Jin; Proctor, Michael; Tao, Louis.
In: Physical Review Letters, Vol. 75, No. 8, 21.08.1995, p. 1522-1525.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Fluctuations in quasi-two-dimensional fast dynamos
AU - Cattaneo, Fausto
AU - Kim, Eun Jin
AU - Proctor, Michael
AU - Tao, Louis
PY - 1995/8/21
Y1 - 1995/8/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0001766987&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.75.1522
DO - 10.1103/PhysRevLett.75.1522
M3 - Article
VL - 75
SP - 1522
EP - 1525
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 8
ER -