Hostname: page-component-84b7d79bbc-lrf7s Total loading time: 0 Render date: 2024-08-01T08:38:26.790Z Has data issue: false hasContentIssue false
  • English
  • Français

A model kinetic equation for an electron plasma

Published online by Cambridge University Press:  13 March 2009

Howard R. Baum
Howard R. Baum
Affiliation:
Division of Engineering and Applied Physics, Harvard University, Cambridge, Massachusetts
Get access Rights & Permissions [Opens in a new window]

Abstract

A kinetic model equation for an electron plasma is proposed. The principal new feature of the equation is an attempt to incorporate collision terms which model both short-range two-body scattering and many-body small-angle scattering. The equation is then used to study the time relaxation of a spatially uniform plasma. A simplified form of the model is finally used to analyse sound propagation in the plasma. Dispersion equations are derived and studied in several limiting cases. Landau damping in the small wave-number limit is shown to be less important than collisional damping for most plasmas.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 4 , December 1968 , pp. 485 - 507
Copyright
Copyright © Cambridge University Press 1968

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. 1964 Handbook of Mathematical Functions. Washington, D.C., U.S. Government Printing Office.Google Scholar
Aono, O. 1968 Phys. Fluids 11, 341.Google Scholar
Balescu, R. 1960 Phys. Fluids 3, 52.Google Scholar
Bhatnagar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.CrossRefGoogle Scholar
Chapman, S. & Cowling, T. G. 1961 The Mathematical Theory of Non-Uniform Gases, Second Ed.Cambridge University Press.Google Scholar
Dougherty, J. P. 1964 Phys. Fluids 7, 1788.Google Scholar
Erdléyi, A. 1954 Bataman Manuscript Project Tables of Integral Transforms. New York: McGraw-Hill Publishing Company.Google Scholar
Hirschfelder, J. O., Curtiss, C. F. & Bird, R. B. 1954 Molecular Theory of Gases and Liquids. New York: Wiley.Google Scholar
Kihara, T. & Aono, O. 1963 a J. Phys. Soc. Japan 18, 837.Google Scholar
Kihara, T. & Aono, O. 1963 b J. Phys. Soc. Japan, 18, 1043.Google Scholar
Lees, L. 1965 SIAM J. 13, 278.Google Scholar
Lenard, A. 1960 Ann. Phys. 3, 390. New York.Google Scholar
Montgomery, D. C. & Tidman, D. A. 1964 Plasma Kinetic Theory. McGraw-Hill Publishing Company.Google Scholar