Helicity and alpha-effect by current-driven instabilities of helical magnetic fields

Abstract

Helical magnetic background fields with adjustable pitch angle are imposed on a conducting fluid in a differentially rotating cylindrical container. The small-scale kinetic and current helicities are calculated for various field geometries, and shown to have the opposite sign as the helicity of the large-scale field. These helicities and also the corresponding $\alpha$-effect scale with the current helicity of the background field. The $\alpha$-tensor is highly anisotropic as the components ${\alpha }_{\varphi \varphi }$ and ${\alpha }_{zz}$ have opposite signs. The amplitudes of the azimuthal $\alpha$-effect computed with the cylindrical 3D MHD code are so small that the operation of an $\alpha \Omega$ dynamo on the basis of the current-driven, kink-type instabilities of toroidal fields is highly questionable. In any case the low value of the $\alpha$-effect would lead to very long growth times of a dynamo in the radiation zone of the Sun and early-type stars of the order of mega-years.

6 pages, 7 figures, submitted to MNRAS

References in corpus (2)

• Do mean-field dynamos in nonrotating turbulent shear-flows exist?
• Energy distribution in nonaxisymmetric magnetic Taylor-Couette flow

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