1307.1576 (Oleg N. Kirillov et al.)

Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence    [PDF]

Oleg N. Kirillov, Frank Stefani, Yasuhide Fukumoto

Using the WKB approximation we perform a linear stability analysis for a rotational flow of a viscous and electrically conducting fluid in an external azimuthal magnetic field that has an arbitrary radial profile B_{phi}(R). In the inductionless approximation, we find the growth rate of the three-dimensional perturbation in a closed form and demonstrate in particular that it can be positive when the velocity profile is Keplerian and the magnetic field profile is slightly shallower than R^{-1}.

View original: http://arxiv.org/abs/1307.1576