Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-12-05T02:14:56.488Z Has data issue: false hasContentIssue false

Some properties of solitary BGK waves in a collisionless plasma

Published online by Cambridge University Press:  13 March 2009

H. A. Shah
Affiliation:
Department of Applied Mathematics, Queen Mary College, University of London, Mile End Road, London E1 4NS
V. A. Turikov
Affiliation:
Faculty of Physics, Mathematical Sciences, Patrice Lumumba University, Moscow, USSR

Abstract

Following the method developed by Bernstein, Greene & Kruskal we obtain expressions for the distribution function of the trapped particles for a collisionless plasma, for cases when the plasma is unbounded and bounded (in a cylindrical waveguide). Figures are drawn showing the relationship between the width and amplitude of the solitary BGK wave for various cases. Analytic expressions depicting this relationship are also derived.

Type
Research Article
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

Bernstein, I. B., Greene, J. M. & Kruskal, M. D. 1957 Phys. Rev. 108, 506.Google Scholar
Berk, H. L. & Roberts, V. V. 1967 Phys. Fluids, 10, 1595.Google Scholar
Lynov, J. P., Michelsen, P., Pecseli, M. L., Rasmussen, J. J., Saeki, K. & Turikov, V. A. 1927 Physica Scripta, 20, 328.Google Scholar
Manheimer, W. M. 1969 Phys. Fluids, 12, 2426.Google Scholar
Smirnov, V. E. 1958 Course of Higher Mathematics, vol. 4. Fizmatgiz.Google Scholar
Schamel, H. 1979 Physica Scripta, 20, 336.Google Scholar
Trivelpiece, A. W. & Gould, R. W. 1959 J. Appl. Phys. 1784.Google Scholar
Turikov, V. A. 1978 Riso Report, no. 380.Google Scholar