Scaling and intermittency in incoherent alpha-shear dynamo
2012 (English)In: Monthly notices of the Royal Astronomical Society, ISSN 0035-8711, E-ISSN 1365-2966, Vol. 420, no 3, 2170-2177 p.Article in journal (Refereed) Published
We consider mean-field dynamo models with fluctuating a effect, both with and without large-scale shear. The a effect is chosen to be Gaussian white noise with zero mean and a given covariance. In the presence of shear, we show analytically that (in infinitely large domains) the mean-squared magnetic field shows exponential growth. The growth rate of the fastest growing mode is proportional to the shear rate. This result agrees with earlier numerical results of Yousef et al. and the recent analytical treatment by Heinemann, McWilliams & Schekochihin who use a method different from ours. In the absence of shear, an incoherent a2 dynamo may also be possible. We further show by explicit calculation of the growth rate of third- and fourth-order moments of the magnetic field that the probability density function of the mean magnetic field generated by this dynamo is non-Gaussian.
Place, publisher, year, edition, pages
2012. Vol. 420, no 3, 2170-2177 p.
dynamo, magnetic fields, MHD, turbulence
Astronomy, Astrophysics and Cosmology
IdentifiersURN: urn:nbn:se:su:diva-76959DOI: 10.1111/j.1365-2966.2011.20190.xISI: 000300702200024OAI: oai:DiVA.org:su-76959DiVA: diva2:535268