Small-scale magnetic helicity losses from a mean-field dynamo

Brandenburg, A., Candelaresi, S. and Chatterjee, P. (2009) Small-scale magnetic helicity losses from a mean-field dynamo. Monthly Notices of the Royal Astronomical Society, 398(3), pp. 1414-1422. (doi: 10.1111/j.1365-2966.2009.15188.x)

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Using mean-field models with a dynamical quenching formalism, we show that in finite domains magnetic helicity fluxes associated with small-scale magnetic fields are able to alleviate catastrophic quenching. We consider fluxes that result from advection by a mean flow, the turbulent mixing down the gradient of mean small-scale magnetic helicity density or the explicit removal which may be associated with the effects of coronal mass ejections in the Sun. In the absence of shear, all the small-scale magnetic helicity fluxes are found to be equally strong for both large- and small-scale fields. In the presence of shear, there is also an additional magnetic helicity flux associated with the mean field, but this flux does not alleviate catastrophic quenching. Outside the dynamo-active region, there are neither sources nor sinks of magnetic helicity, so in a steady state this flux must be constant. It is shown that unphysical behaviour emerges if the small-scale magnetic helicity flux is forced to vanish within the computational domain.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Candelaresi, Dr Simon
Authors: Brandenburg, A., Candelaresi, S., and Chatterjee, P.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Monthly Notices of the Royal Astronomical Society
Publisher:Oxford University Press
ISSN (Online):1365-2966
Published Online:09 September 2009

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