Astronomy and Astrophysics – Astrophysics – Solar and Stellar Astrophysics
Scientific paper
2009-05-03
Mon. Not. R. Astron. Soc. 398, 1414-1422 (2009)
Astronomy and Astrophysics
Astrophysics
Solar and Stellar Astrophysics
9 pages, 10 figures, submitted to MNRAS
Scientific paper
10.1111/j.1365-2966.2009.15188.x
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 either from advection by a mean flow, the turbulent mixing down the gradient of mean small-scale magnetic helicity concentration, 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 both for large-scale 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 behavior emerges if the small-scale magnetic helicity flux is forced to vanish within the computational domain.
Brandenburg Axel
Candelaresi Simon
Chatterjee Piyali
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