Publications Repository - Helmholtz-Zentrum Dresden-Rossendorf
Chandrasekhar's equipartition solution, dissipation-induced instabilities and azimuthal magnetorotational instability (MRI)
Kirillov, O. N.
I present a WKB study of the azimuthal magnetorotational instability (MRI) of a viscous electrically conducting rotating fluid with arbitrary radial profiles of the angular velocity and azimuthal component of the magnetic field. In the ideal setting II recover the results of Ogilvie and Pringle of 1996, whereas in the non- ideal case the azimuthal MRI is treated as a dissipation- induced instability of a Chandrasekhar equipartition solution for which the fluid velocity is parallel to the direction of the magnetic fiield and magnetic and kinetic energies are finite and equal.
Keywords: magnetorotational instability; rotating flow; dissipation-induced instabilities; Chandrasekhar's equipartition solution; azimuthal field
Invited lecture (Conferences)
XXXIV Dynamics Days Europe, Minisymposium on Nonlinear Phenomena in Plasma Astrophysics, 08.-12.09.2014, Bayreuth, Germany