Cross helicity and turbulent magnetic diffusivity in the solar convection zone

Details Cross helicity and turbulent magnetic diffusivity in the solar convection zone Cross helicity and turbulent magnetic diffusivity in the solar convection zone

2010-04-27

arxiv.org/abs/1004.4881v2

Solar Phys. 269, 3-12 (2011)

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

9 pages, 2 figures, submitted to Solar Physics

Scientific paper

10.1007/s11207-010-9683-4

In a density-stratified turbulent medium the cross helicity is considered as a result of the interaction of the velocity fluctuations and a large-scale magnetic field. By means of a quasilinear theory and by numerical simulations we find the cross helicity and the mean vertical magnetic field anti-correlated. In the high-conductivity limit the ratio of the helicity and the mean magnetic field equals the ratio of the magnetic eddy diffusivity and the (known) density scale height. The result can be used to predict that the cross helicity at the solar surface exceeds the value of 1 Gauss km/s. Its sign is anti-correlated with that of the radial mean magnetic field. Alternatively, we can use our result to determine the value of the turbulent magnetic diffusivity from observations of the cross helicity.

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