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Linear stability of exponential density profiles

Published online by Cambridge University Press:  13 March 2009

R. Croci
Affiliation:
Institut für Plasmaphysik, Garching bei München, Germany
R. Saison
Affiliation:
Institut für Plasmaphysik, Garching bei München, Germany

Abstract

The problem of the linear stability of a plasma with density profiles

in a homogeneous magnetic field B = îzB0 has been solved exactly. The dispersion relation leads to stability criteria less severe than those obtained in the local approximation. As examples, we consider Bernstein waves and the low-frequency drift instability. In the second example the marginal stability curve

is given for different values of the parameters kx, Ri, Ri n′/n, with Ti = Te. Further, the same method is applied to a plasma with equilibrium distribution function in a linear electric potential φ = αx and a homogeneous magnetic field B = îxB0.

Information

Type
Research Article
Copyright
Copyright © Cambridge University Press 1971

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