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A quasi-moment description of the evolution of an electron gas towards a state dominated by a reduced transport equation

Published online by Cambridge University Press:  13 March 2009

Alf H. Øien
Alf H. Øien
Affiliation:
Department of Applied Mathematics, University of Bergen, Norway
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Abstract

For electrons in electric and magnetic fields which collide elastically with neutral atoms or molecules, a minute evolution study is made using the multiple time-scale method. In this study a set of quasi-moment equations is used which is derived from the Boltzmann equation by taking appropriate quasi-moments, i.e. velocity moments where the integration is performed only over velocity angles. In a systematic way we reveal the evolution in a transient regime where processes take place on time-scales related to the electron–atom collision frequency and electron cyclotron frequency and show how the evolution enters a regime where it is governed by a reduced transport equation. This work has relevance to the theory of evolution of gases of charged particles in general and to non-neutral plasmas and partially ionized gases in particular.

Type
Research Article
Information
Journal of Plasma Physics , Volume 26 , Issue 3 , December 1981 , pp. 517 - 528
Copyright
Copyright © Cambridge University Press 1981

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References

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