Plasma and Fusion Research
Volume 1, 001 (2006)
Rapid Communications
WKB Analysis of Axisymmetric Magneto-Rotational Instability in a Thin Accretion Disk
- 1)
- Graduate School of Frontier Sciences, The University of Tokyo
- 2)
- Indian Institute of Astrophysics
(Received 25 October 2005 / Accepted 11 November 2005 / Published 26 January 2006)
Abstract
The temporal behavior of axisymmetric magneto-rotational instability in a thin accretion disk is analyzed via the Wentzel-Kramars-Brillouin (WKB) method. The height of the thin disk is used as a small parameter. It is found that the oscillation of the envelope of the mode accelerates with time because of the density distribution in the direction of the disk height.
Copyright (c) 2006 The Japan Society of Plasma Science and Nuclear Fusion Research
Keywords
magneto-rotational instability, accretion disk, WKB analysis
DOI: 10.1585/pfr.1.001
Full Text
References
- [1] E.P. Velikhov, Sov. Phys. JETP 36(9), 995 (1959).
- [2] S. Chandrasekhar, Proc. Nat. Acad. Sci. 46, 253 (1960).
- [3] A review is given in, for example, S.A. Balbus and J.F. Hawley, Rev. Mod. Phys. 70, 1 (1998).
- [4] S.A. Balbus and J.F. Hawley, Astrophys. J. 376, 214 (1991).
- [5] B. Dubrulle and E. Knobloch, Astron. Astrophys. 274, 667 (1993); C.F. Gammie and S.A. Balbus, Mon. Not. R. Astron. Soc. 270, 138 (1994); C. Curry, R.E. Pudritz and P.G. Sutherland, Astrophys. J. 434, 206 (1994); B. Coppi and E.A. Keyes, Astrophys. J. 595, 1000 (2003).
This paper may be cited as follows:
Masaru FURUKAWA, Vinod KRISHAN, Makoto HIROTA and Zensho YOSHIDA, Plasma Fusion Res. 1, 001 (2006).
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