Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997mnras.286..757k&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 286, Issue 3, pp. 757-764.
Astronomy and Astrophysics
Astronomy
24
Accretion, Accretion Discs, Instabilities, Mhd, Stars: Magnetic Fields
Scientific paper
This paper concerns the global stability of a differentially rotating magnetized sphere of an incompressible fluid. Rotation laws subcritical to the Rayleigh stability criterion produce the instability in the finite interval B_min<=B<=B_max of the magnetic field amplitudes. The upper, B_max, and the lower, B_min, bounds are imposed by the finite size of the system and by finite diffusivities (magnetic resistivity and viscosity), respectively. For high rotation rates, B_max grows linearly with the angular velocity gradient while B_min approaches a constant value. The global modes with different types of symmetry relative to the equatorial plane are identified. The modes with symmetric magnetic field and antisymmetric flow are always dominating. Non-axisymmetric excitations are preferred when rotation is not too slow and the field strength is close to B_max. The possibility of a hydromagnetic dynamo produced by the instability in stellar radiative cores is briefly discussed.
Kitchatinov Leonid L.
Rudiger Günther
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