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Effect of large Larmor radius on the stability of an infinitely conducting inhomogeneous plasma

Published online by Cambridge University Press:  13 March 2009

Nagendra Kumar ,
Krishna M. Srivastava  and
Vinod Kumar
Nagendra Kumar
Affiliation:
Department of Mathematics, University of Roorkee, Roorkee, India
Krishna M. Srivastava
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California 91109, U.S.A.
Vinod Kumar
Affiliation:
Department of Mathematics, University of Roorkee, Roorkee, India
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Abstract

The effect of a large Larmor radius on the stability of an infinitely conducting infinitely extended inhomogeneous plasma with two-dimensional magnetic field has been studied. A dispersion relation is obtained for the homogeneous system, and it is found that it is stable and MHD waves propagate. For an inhomogeneous plasma, a dispersion relation is also obtained and discussed for disturbances propagating transverse to inhomogeneity in (a) a cold plasma and (b) an incompressible plasma. It is found that the inhomogeneous system is unstable in both the cases, in agreement with the results of Lee and Roberts. The values of ωr and ωi are computed numerically, and the variations of ωi>0 and the corresponding ωr with the large-Larmor-radius parameter are shown graphically.

Type
Research Article
Information
Journal of Plasma Physics , Volume 48 , Issue 2 , October 1992 , pp. 245 - 260
Copyright
Copyright © Cambridge University Press 1992

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