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Dynamical evolution of three-dimensional kinetic electron-beam instabilities

Published online by Cambridge University Press:  13 March 2009

H. I. Abdel-Gawad
H. I. Abdel-Gawad
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Egypt
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Abstract

We present a method of solution of the quasi-linear diffusion equation for the averaged distribution function. The criterion for its validity is discussed. Using the solution obtained, we study the dynamics of the relaxation of a weak kinetic electron-beam instability and show that it saturates asymptotically at zero energy level. In a self-consistent manner, the distribution function for the beam particles will be shown to deform to a flat shape.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 1 , February 1989 , pp. 1 - 11
Copyright
Copyright © Cambridge University Press 1989

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References

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