Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-29T19:03:59.650Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bernstein, I. B. 1969 Advances in Plasma Physics, vol. 3 (ed. Simon, A. and W. B Thompson). Interscience.Google Scholar
Bogoliubov, N. N. 1962 Studies in Statistical Mechanics, vol. 1 (ed. Boor, J. de and G. E. Uhlenbeck). North-Holland.Google Scholar
Braun, M. 1978 Differential Equations and Their Applications. Springer.Google Scholar
Chapman, S. & Cowling, T. G. 1970 The Mathematical Theory of Non-Uniform Gases, p. 188. Cambridge University Press.Google Scholar
Davidson, R. C. 1974 Theory of Non-neutral Plasmas. Benjamin.Google Scholar
Deloroix, J. L. 1963 Physique des Plasmas, vol. 1. Dunod.Google Scholar
Douglas, M. H. & O'Neil, T. M. 1978 Phys. Fluids, 21, 920.CrossRefGoogle Scholar
Frieman, E. A. 1963 J. Math. Phys. 4, 410.CrossRefGoogle Scholar
Gilardini, A. 1972 Low Energy Electron Collisions in Gases. Wiley.Google Scholar
Hauge, E. H. 1970 Phys. Fluids, 13, 1201.CrossRefGoogle Scholar
Malmberg, J. H. & De Grassie, J. S. 1975 Phys. Rev. Lett. 35, 577.CrossRefGoogle Scholar
Sandri, G. 1965 Nuovo Cimento, 36, 67.CrossRefGoogle Scholar