Standard and Helical Magnetorotational Instability

Kirillov, Oleg and Stefani, Frank (2012) Standard and Helical Magnetorotational Instability. Acta Applicandae Mathematicae, 120 (1). pp. 177-198. ISSN 0167-8019

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Official URL: http://dx.doi.org/10.1007/s10440-012-9689-z

Abstract

The magnetorotational instability (MRI) triggers turbulence and enables outward transport of angular momentum in hydrodynamically stable rotating shear flows, e.g., in accretion disks. What laws of differential rotation are susceptible to the destabilization by axial, azimuthal, or helical magnetic field? The answer to this question, which is vital for astrophysical and experimental applications, inevitably leads to the study of spectral and geometrical singularities on the instability threshold. The singularities provide a connection between seemingly discontinuous stability criteria and thus explain several paradoxes in the theory of MRI that were poorly understood since the 1950s.

Item Type: Article
Uncontrolled Keywords: Rotating shear flow, Couette-Taylor flow, accretion disk, magnetorotational instability, WKB, Plücker conoid, Exceptional point
Subjects: F300 Physics
F500 Astronomy
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Oleg Kirillov
Date Deposited: 10 Jan 2017 11:41
Last Modified: 11 Jan 2017 09:43
URI: http://nrl.northumbria.ac.uk/id/eprint/29042

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