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Instabilities of a Hall plasma flowing across a magnetic field

Published online by Cambridge University Press:  09 March 2009

Liliya M. Alekseeva
Liliya M. Alekseeva
Affiliation:
Institute of Nuclear Physics, M.V. Lomonosov Moscow State University, Moscow 117234, Russia
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Abstract

Under certain restrictions imposed on the plasma parameters, an analytical 2D solution to the magnetohydrodynamic equations, taking into account the Hall effect [of the HMHD (Hall magnetohydrodynamic) equations], is found for the case when plasma flows across a magnetic field. This solution has the form of the sum of a rather arbitrary steady flow and a small time-dependent disturbance. We show that waves of a purely acoustic nature can propagate against the background of the flow. The magnetic field manifests itself in this process only in that it produces an effective gravity force, the “gravitational” acceleration being proportional ωeτe. Like acoustic-gravity waves in the atmosphere, such quasiacoustic-gravity (QAG) waves in a plasma increase greatly in their amplitude as they propagate “upward,” that is, in this case, to the anode of an accelerating plasma channel. The existence of a rather general dimensionless similarity criterion is also shown. It can be found directly from the structure of the HMHD equations without any restrictions as to the plasma parameters.

Type
Research Article
Information
Laser and Particle Beams , Volume 15 , Issue 1 , March 1997 , pp. 65 - 72
Copyright
Copyright © Cambridge University Press 1997

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References

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