Spectrum of Global Magnetorotational Instability in a Narrow Transition Layer

Details Spectrum of Global Magnetorotational Instability in a Narrow Transition Layer Spectrum of Global Magnetorotational Instability in a Narrow Transition Layer

2009-04-10

arxiv.org/abs/0904.1633v1

Astrophys.J.697:1805-1810,2009

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

21 Pages, 5 figures

Scientific paper

10.1088/0004-637X/697/2/1805

The Global Magnetorotational Instability (MRI) is investigated for a configuration in which the rotation frequency changes only in a narrow transition region. If the vertical wavelength of the unstable mode is of the same order or smaller than the width of this region, the growth rates can differ significantly from those given by a local analysis. In addition, the non-axisymmetric spectrum admits overstable modes with a non-trivial dependence on azimuthal wavelength, a feature missed by the local theory. In the limit of vanishing transition region width, the Rayleigh-centrifugal instability is recovered in the axisymmetric case, and the Kelvin-Helmholtz instability in the non-axisymmetric case.

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