Dissipation-induced instabilities in magnetized ows


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Abstract

We study local instabilities of a di erentially rotating viscous ow of electrically conducting incompressible uid subject to an external azimuthal magnetic eld. The hydrodynamically stable ow can be destabilized by the magnetic eld both in the ideal and in the viscous and resistive system giving rise to the azimuthal magnetorotational instability. A special solution to the equations of the ideal magnetohydrodynamics characterized by the constant total pressure, the uid velocity parallel to the direction of the magnetic eld, and by the magnetic and kinetic energies that are nite and equal - the Chandrasekhar equipartition solution - is marginally stable in the absence of viscosity and resistivity. Performing a local stability analysis we nd the conditions when the azimuthal magnetorotational instability can be interpreted as a dissipation-induced instability of the Chandrasekhar equipartition solution.

About the authors

O. N. Kirillov

Helmholtz-Zentrum Dresden Rossendorf

Email: o.kirillov@hzdr.de
Dresden, Germany

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