Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T03:23:45.895Z Has data issue: false hasContentIssue false
  • English
  • Français

Explosive instabilities in a cold beam plasma system

Published online by Cambridge University Press:  13 March 2009

R. A. Kerst  and
M. Raether
R. A. Kerst
Affiliation:
Department of Physics and Coordinated Science Laboratory, Univertsity of Illinois at Urbana-Champaign, Urbana, Illinois 61801
M. Raether
Affiliation:
Department of Physics and Coordinated Science Laboratory, Univertsity of Illinois at Urbana-Champaign, Urbana, Illinois 61801
Get access Rights & Permissions [Opens in a new window]

Abstract

Wave-wave coupling is investigated for spatially growing waves in a cold beam-cold plasma system. Numerical solutions of the wave coupling equations are obtained for various combinations of three waves as well as several interacting triplets of waves that are of experimental interest. It is found that most three wave interactions in this system are explosive if they involve the most unstable mode. The results are compared, where applicable, with analytic criteria for the unboundedness of the solutions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 3 , December 1976 , pp. 335 - 351
Copyright
Copyright © Cambridge University Press 1976

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

Bakai, A. S. 1970 Nuclear Fusion, 10 53.Google Scholar
Böhmer, H.Chang, J. & Raether, M. 1971 Phys. Fluids, 14 150.Google Scholar
Chang, J., Raether, M. & Tanaka, S. 1971 Phys. Rev. Lett. 27 1263.Google Scholar
Chang, J., & Chang, J. S. 1973 Phys. Fluids, 16 706.Google Scholar
Coppi, B., Rosenbluth, M. N. & Sudan, R. N. 1969 Ann. Phys N. Y. 55, 207.Google Scholar
Engelmann, F., Wilhelmson, H. 1969 Z. f. Naturforschung 24a, 206.Google Scholar
Jackson, E. A., 1972 J. Math. Phys. 13, 1189.Google Scholar
Jackson, E. A. & Raether, M. 1973 Phys. Fluids, 16, 1378.Google Scholar
Oraevskii, V. N., Wilhelmson, H., Kogan, E. Ya. & Pavlenko, V. P. 1973 Physica Scripta, 7, 217.Google Scholar
Sagdeev, R. Z. & Galeev, A. A. 1969 Nonlinear Plasma Theory. Benjamin.Google Scholar
Weiland, J., & Wilhelmson, H. 1973 Physica Scripta, 7, 222.Google Scholar
Wilhelmson, H., Stenflo, L. & Engelmann, F. 1970 J. Math. Phys. 11 1738.Google Scholar
Wilhelmson, H., 1972 Phys. Rev. A6, 1973.Google Scholar
Wilhelmson, H., 1973 Physica Scripta, 7, 209.Google Scholar
Wilhelmson, H., & Pavlenko, V. P. 1973 Physica Scripta, 7, 213.Google Scholar