Shear Alfvén modes in magnetized spherical shells

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

An investigation of shear Alfvén waves inside a spherical shell is carried out, in which the background magnetic field is dipolar and resistive effects are taken into account. Numerical results indicate two basic behaviours for both the axisymmetric and non-axisymmetric cases. Poloidal modes appear to remain regular, except for internal shear layers, when kinetic and magnetic diffusivities become arbitrarily small, whereas toroidal modes become singular. Analytical results are provided for the axisymmetric toroidal case. The corresponding eigenvalues also exhibit different behaviours in the two cases.

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