Gauging magnetorotational instability |
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Authors: | Isom Herron and Jeremy Goodman |
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Institution: | (1) Department of Physics, California State University, San Marcos, CA, USA;(2) Nova Photonics, Inc., One Oak Place, Princeton, NJ 08540, USA;(3) Plasma Physics Laboratory, Princeton University, Princeton, NJ, USA |
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Abstract: | Previously (Z. Angew. Math. Phys. 57:615–622, 2006), we examined the axisymmetric stability of viscous resistive magnetized
Couette flow with emphasis on flows that would be hydrodynamically stable according to Rayleigh’s criterion: opposing gradients
of angular velocity and specific angular momentum. A uniform axial magnetic field permeates the fluid. In this regime, magnetorotational
instability (MRI) may occur. It was proved that MRI is suppressed, in fact no instability at all occurs, with insulating boundary
conditions, when a term multipling the magnetic Prandtl number is neglected. Likewise, in the current work, including this
term, when the magnetic resistivity is sufficiently large, MRI is suppressed. This shows conclusively that small magnetic
dissipation is a feature of this instability for all magnetic Prandtl numbers. A criterion is provided for the onset of MRI. |
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