Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-26T04:31:50.344Z Has data issue: false hasContentIssue false

Longitudinal electron modes in plasma

Published online by Cambridge University Press:  13 March 2009

E. L. Bydder
Affiliation:
Department of Physics, University of Waikato, Hamilton, New Zealand
B. S. Liley
Affiliation:
Department of Physics, University of Waikato, Hamilton, New Zealand

Abstract

Propagation of longitudinal electron modes in Maxwellian plasma is discussed using both the Vlasov equation and the 13-moment equations. Both methods are shown to be consistent and in addition both methods are shown to predict a second (heavily damped) mode which propagates below as well as above the plasma frequency. The results are in excellent agreement with earlier experiments for near-equilibrium plasmas.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1980

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., Greene, J. M. & Kruskal, M. D. 1957 Phys. Rev. 108, 546.CrossRefGoogle Scholar
Bydder, E. L. 1967 Ph.D. Thesis, Australian National University.Google Scholar
Chapman, S. & Cowling, T. G. 1960 The Mathematical Theory of Non-Uniform Gases(2nd edn). Cambridge University Press.Google Scholar
Fadeeva, V. N. & Terent'ev, N. M. 1954 Tables of the Probability Integral of Complex Argument (ed. Fock, V. A.). Moscow.Google Scholar
Franklin, R. N., Hamberger, S. M., Lampis, G. & Smith, G. J. 1974 Report CLM.R 131 UKAEA, HMSO.Google ScholarPubMed
Fried, B. D. & Conte, S. 1961 The Plasma Dispersion Functwn. Academic.Google Scholar
Grad, H. 1949 Com. Pure Appl. Math. 2, 331.CrossRefGoogle Scholar
Henry, D. & Treguier, J. P. 1972 J. Plasma Phys. 8, 311.CrossRefGoogle Scholar
Herdan, R. & Liley, B. S. 1960 Rev. Mod. Phys. 32, 731.CrossRefGoogle Scholar
Jackson, J. D. 1960 J. Nucl. Energy Pt. C 1, 171.CrossRefGoogle Scholar
Kawai, Y., Nakamura, Y., Itoh, T., Hara, T. & Kawabe, T. 1975 J. Phys. Soc. Japan 38, 876.CrossRefGoogle Scholar
Kolodnor, I. I. 1957 Report N.Y.U. 7980. New York University.Google Scholar
Landau, L. D. 1946 J. Phys. U.S.S.R. 10, 25.Google Scholar
Liley, B. S. 1963 Ph.D. Thesis, Reading University.Google Scholar
Malmberg, J. H. & Wharton, C. B. 1964 Phys. Rev. Lett. 13, 184.CrossRefGoogle Scholar
Spitzer, L. 1962 Physics of Fully lonised Gases (2nd edn). Interscience.Google Scholar
Van, Kampen N. G. 1955 Physica, 21, 949.Google Scholar