On instabilities in magnetized accretion disks

Details On instabilities in magnetized accretion disks On instabilities in magnetized accretion disks

Jul 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...274..667d&link_type=abstract

Astronomy and Astrophysics, Vol. 274, p. 667 (1993)

Astronomy and Astrophysics

Astrophysics

28

Accretion Disks, Hydrodynamics

Scientific paper

Magnetic field driven instabilities in accretion disks are studied using both local and global techniques. A necessary condition for linear and nonlinear instability is derived for disks with both vertical (poloidal) and toroidal magnetic fields. Explicit examples of instabilities are found by a WKB treatment of the governing eigenvalue problem, and verified numerically. Sufficient conditions for instability are derived within the local approximation. In the limit of vanishing vertical magnetic field, the growth rate of the instability is found to be proportional to the product of the vertical wavenumber and the vertical Alfvén velocity. When dissipative processes are taken into account, our results show that magnetic instabilities cannot be triggered in a laminar thin disk.

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