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Title:
Small-scale magnetic helicity losses from a mean-field dynamo
Authors:
Brandenburg, Axel; Candelaresi, Simon; Chatterjee, Piyali
Affiliation:
AA(NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE 10691 Stockholm, Sweden; Department of Astronomy, AlbaNova University Center, Stockholm University, SE 10691 Stockholm, Sweden), AB(NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE 10691 Stockholm, Sweden; Department of Astronomy, AlbaNova University Center, Stockholm University, SE 10691 Stockholm, Sweden), AC(Department of Astronomy and Astrophysics, Tata Institute of Fundamental Research, Colaba, Mumbai 400005, India)
Publication:
Monthly Notices of the Royal Astronomical Society, Volume 398, Issue 3, pp. 1414-1422. (MNRAS Homepage)
Publication Date:
09/2009
Origin:
MNRAS
Astronomy Keywords:
hydrodynamics , magnetic fields , MHD , turbulence
DOI:
10.1111/j.1365-2966.2009.15188.x
Bibliographic Code:
2009MNRAS.398.1414B

Abstract

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.
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