Astronomy and Astrophysics – Astrophysics
Scientific paper
2004-09-06
Astron.Astrophys.427:279-292,2004
Astronomy and Astrophysics
Astrophysics
16 pages, 15 figures, version with better figures available at "http://webast.ast.obs-mip.fr/people/rieutord/modmag2.ps.gz" Re
Scientific paper
10.1051/0004-6361:20040539
We carry out numerical and mathematical investigations of shear Alfven waves inside of a spherical shell filled with an incompressible conducting fluid, and bathed in a strong dipolar magnetic field. We focus on axisymmetric toroidal and non-axisymmetric modes, in continuation of a previous work by Rincon & Rieutord (2003, A&A, 398, 663). Analytical expressions are obtained for toroidal eigenmodes and their corresponding frequencies at low diffusivities. These oscillations behave like magnetic shear layers, in which the magnetic poles play a key role, and hence become singular when diffusivities vanish. It is also demonstrated that non-axisymmetric modes are split into two categories, namely poloidal or toroidal types, following similar asymptotic behaviours as their axisymmetric counterparts when the diffusivities become arbitrarily small.
Reese Daniel
Rieutord Michel
Rincon Felipe
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