Additional Results for Unstable Stratified Toroidal Magnetic Fields in Stars

Details Additional Results for Unstable Stratified Toroidal Magnetic Fields in Stars Additional Results for Unstable Stratified Toroidal Magnetic Fields in Stars

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..75..521g&link_type=abstract

Astrophysics and Space Science, Volume 75, Issue 2, pp.521-526

Astronomy and Astrophysics

Astrophysics

24

Scientific paper

General conditions for adiabatic instability of weak axisymmetric toroidal magnetic fields are obtained. In particular all fields which haveH ϕ=0 and ∂H {ϕ/2}/∂δ>0 simultaneously are unstable. This includes all fields which exist near to the axis of symmetry and, indeed, any without an infinite current density anywhere. A detailed discussion is given of fields with an angular dependenceH {ϕ/2}˜|P ℓ (cos θ)|. These fields are dynamically unstable with respect to both axisymmetric and non-axisymmetric perturbations for all values of the azimuthal wave number |m|. The maximum growth rates are independent ofm and they are largest for the fields that are defined in the regions closest to the polar axis.

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