Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-25T04:55:51.170Z Has data issue: false hasContentIssue false
  • English
  • Français

Longitudinal electron waves for a plasma with a bi-Maxwellian velocity distribution

Published online by Cambridge University Press:  13 March 2009

J. G. Trotignon
J. G. Trotignon
Affiliation:
Laboratoire de Physique et Chimie de l'Environnement, 3A Avenue de la Recherche Scientifique, 45045 Orleans Cédex, France
Get access Rights & Permissions [Opens in a new window]

Abstract

An original method for calculating and representing the excitation coefficients of longitudinal electron waves is applied to the case of a hot, collisionless, homogeneous and isotropie plasma with a bi-Maxwellian velocity distribution function. Using a Van Kampen treatment we introduce a ‘wave density’ distribution which is represented graphically. When hot electrons are added to a plasma of cool electrons the Landau mode is distorted and its damping increases with the hot/cold temperature ratio θ. The Landau mode separates into two modes for θ ≥ θ0 where θ0 increases as the hot/cold density ratio α decreases. We show that no wave seems to be able to propagate at frequencies below the plasma frequency. Using an abrupt cut-off in the hot electron distribution function, we recover the results for a Maxwellian plus water-bag distribution.

Type
Research Article
Information
Journal of Plasma Physics , Volume 32 , Issue 3 , December 1984 , pp. 463 - 478
Copyright
Copyright © Cambridge University Press 1984

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

Buzzi, J. M. 1973 J. de Phys. 34, 13.CrossRefGoogle Scholar
Case, K. M. 1959 Ann. Phys. (N.Y.), 7, 349.CrossRefGoogle Scholar
Etcheto, J., Belmont, G., Canu, P. & Trotignon, J. G. 1983 Report ESA SP-195, 39.Google Scholar
Feldman, W. C., Asbridge, J. R., Bame, S. J., Montgomery, M. D. & Gary, S. P. 1975 J. Geophys. Res. 80, 4181.CrossRefGoogle Scholar
Ikezawa, S. & Nakamura, Y. 1980 J. Phys. Soc. Japan 46, 1677.CrossRefGoogle Scholar
Landau, L. 1946 J. Phys. USSR 10, 45.Google Scholar
Navet, M. & Bertrand, P. 1971 Phys. Lett. 34A, 117.CrossRefGoogle Scholar
Navet, M. 1973 Thèse de 3ème Cycle, Université d'Orléans.Google Scholar
Treguier, J. P. & Henry, D. 1975 J. Plasma Phys. 13, 193.CrossRefGoogle Scholar
Treguier, J. P. & Henry, D. 1976 J. Plasma Phys. 15, 447.CrossRefGoogle Scholar
Trotignon, J. G. & Feix, M. R. 1977 J. Plasma Phys. 17, 13.CrossRefGoogle Scholar
Van Kampen, N. G. 1955 Physica, 21, 949.CrossRefGoogle Scholar