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Kelvin-Helmholtz instability of anisotropic plasma in a magnetic field

Published online by Cambridge University Press:  13 March 2009

S. Duhau  and
J. Gratton
S. Duhau
Affiliation:
Departamento de Fisica, Facultad do Ciencias Exactas y Naturales, Universidad de Buenos Aires
J. Gratton
Affiliation:
Consejo Nacional de Investigaciones Cientilicas y Tecnicas, Buenos Aires and Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Univorsidad de Buenos Aires
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Abstract

The Kelvin-Helmholtz problem is analyzed by a set of general hydromagnetic equations, which includes ideal magnetohydrodynamic and Chew-Goldberger-Low models as particular cases. A formalism is given that facilitates comparison between results from different models. A sheared flow is one in which the velocity has no component in the y direction, and such that the x and z components of the velocity depend on the y co-ordinate. A sheared field is defined similarly. The differential equations for linear modes of oscillation of a sheared flow in a sheared magnetic field is obtained; and the energy of these modes is studied. As a particular case of oscillations of a sheared flow, the properties of the modes excited by arbitrary modulation of a tangential discontinuity are studied. The relationship between radiation of waves from such a discontinuity and instability of the system is brought out by considering the system energy. Domains of absolute stability are given; and the different hydromagnetic models are compared by examining the predicted domains. It is found that anisotropy plays an important role in the conditions of stability.

Type
Research Article
Information
Journal of Plasma Physics , Volume 13 , Issue 3 , June 1975 , pp. 451 - 479
Copyright
Copyright © Cambridge University Press 1975

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