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The Kelvin–Helmholtz instability in a compressible plasma: the role of the orientation of the magnetic field with respect to the flow

Published online by Cambridge University Press:  13 March 2009

A. G. Gozález  and
J. Gratton
A. G. Gozález
Affiliation:
INFIP–Labratorio Física del Plasma, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina
J. Gratton
Affiliation:
INFIP–Labratorio Física del Plasma, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina
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Abstract

The hydromagnetic Kelvin–Helmholtz instability is relevant in many complex situations in astrophysical and laboratory plasmas. Many cases of interest are very complicated, since they involve the combined roles of velocity shear, density and magnetic field stratification, and various geometries in compressible plasmas. The present work is part of a systematic investigation of the influence of the various physical and geometrical parameters characterizing the plasmas on the Kelvin–Helmholtz modes. The general dispersion relation for ideal compressible MHD modes localized near a velocity discontinuity between two uniform plasmas is derived. The existence and characteristics of the modes and their stability are studied analytically for any relative orientation of B, u and k, for continuous B and ρ. It is shown that the stability of a given configuration cannot be determined by considering only special orientations of k (say flute or parallel modes). The results obtained here may serve as a guide to interpret results in more complicated and realistic situations, such as those occurring in experiments and natural plasmas.

Type
Research Article
Information
Journal of Plasma Physics , Volume 51 , Issue 1 , February 1994 , pp. 43 - 60
Copyright
Copyright © Cambridge University Press 1994

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