Hostname: page-component-848d4c4894-hfldf Total loading time: 0 Render date: 2024-05-07T02:23:43.764Z Has data issue: false hasContentIssue false

Potential created by a test particle in one-, two- and three-dimensions in a flowing ion-electron plasma

Published online by Cambridge University Press:  13 March 2009

P. Chenevier
Affiliation:
Laboratoire do Physique des Plasmas, Equipe do Recherche Associée au C.N.R.S. Université Scientifique et Médicale, 38 Grenoble, France
J. M. Dolique
Affiliation:
Laboratoire do Physique des Plasmas, Equipe do Recherche Associée au C.N.R.S. Université Scientifique et Médicale, 38 Grenoble, France
H. Perès
Affiliation:
Laboratoire do Physique des Plasmas, Equipe do Recherche Associée au C.N.R.S. Université Scientifique et Médicale, 38 Grenoble, France

Abstract

In a plasma at rest, the electrostatic potential around a point charge obeys the well-known Debye shielding law. Modifications, for the ease of a flowing plasma, have been studied in the limiting cases of either long or short distances for subsonic and hypersonic velocities. Only recently this was extended to include all distances, restricted to a two-dimensional case. However, neither of these modifications includes the ionic motions. In this paper, we derive general expressions for the electrostatic potential which are valid for all distances and flow velocities in one-, two- and three-dimensional cases. This is done first with unperturbed ions, and then for the case where ionic motions, which are seen to be important for mesothermic flow velocities, are included. In both cases, the results are discussed and illustrated.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1973

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

Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions. National Bureau of Standards.Google Scholar
Cooper, G. 1969 Phys. Fluids, 12, 2707.CrossRefGoogle Scholar
Fournier, G. 1971 Thése de doctorat es Sciences, Faculté des Sciences d'orsay.Google Scholar
Laing, E. W., Lamont, A. & Fielding, P. J. 1971 J. Plasma Phys. 5, 441.CrossRefGoogle Scholar
Montgomery, D., Joyce, G. & Sugihara, R. 1968 Plasma Phys. 10, 681.CrossRefGoogle Scholar
Neufeld, J. & Ritchie, R. H. 1955 Phys. Rev. 98, 1632.CrossRefGoogle Scholar
Sitenko, A. G. 1967 Electromagnetic Fluctuations in Plasma. Academic.CrossRefGoogle Scholar