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Is the Oort A-value a universal growth rate limit for accretion disk shear instabilities?A weak-field local MHD instability that is of importance to accretion disks is examined. The maximum growth rate of the instability is found to be not only independent of the magnetic field strength but independent of field geometry as well. In particular, all Keplerian disks are unstable in the presence of any weak poloidal field, with the ratio of the maximum growth rate to disk angular velocity given by 3/4. The maximum growth rate of any weak field configuration that is not purely toroidal is given by the local Oort A-value of the disk. The behavior is studied by using a form of the dynamical Hill equations. It is conjectured that the Oort A-value is an upper bound to the growth rate of any instability feeding upon the free energy of differential rotation.
Document ID
19920061107
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Balbus, Steven A.
(NASA Headquarters Washington, DC United States)
Hawley, John F.
(Virginia, University Charlottesville, United States)
Date Acquired
August 15, 2013
Publication Date
June 20, 1992
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 392
Issue: 2 Ju
ISSN: 0004-637X
Subject Category
Astrophysics
Accession Number
92A43731
Funding Number(s)
CONTRACT_GRANT: NAGW-2376
CONTRACT_GRANT: NSF AST-90-1348
CONTRACT_GRANT: NSF PHY-90-18251
CONTRACT_GRANT: NAGW-1510
Distribution Limits
Public
Copyright
Other

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