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Kinetic theory of the diochotron instability†

Published online by Cambridge University Press:  13 March 2009

A. Nocentini ,
H. L. Berk  and
R. N. Sudan
A. Nocentini
Affiliation:
Lawrence Radiation Laboratory, University of California, Livermore, California
H. L. Berk
Affiliation:
Lawrence Radiation Laboratory, University of California, Livermore, California
R. N. Sudan
Affiliation:
Lawrence Radiation Laboratory, University of California, Livermore, California
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Abstract

The diochotron instability of a thin, tenuous, cylindrical layer of charged particles, whose gyro-radius is of the order of the mean radius of the cylindrical layer, is investigated using the Vlasov equation. Two distribution functions are considered which give practically the same density in the physical space, but are quite different in the velocity space: in the first the velocity spread is practically zero; in the second the particles oscillate around the mean radius of the cylindrical layer. It is shown that the first distribution exhibits the usual diochotron instability, while the second one does not. It is also shown that, however small the velocity spread, the thickness of the cylindrical layer cannot go to zero. Its minimum value is roughly determined by equating the plasma frequency to the cyclotron frequency.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 3 , August 1968 , pp. 311 - 327
Copyright
Copyright © Cambridge University Press 1968

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References

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