Hostname: page-component-cb9f654ff-rkzlw Total loading time: 0 Render date: 2025-09-07T04:30:50.028Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear stabilization of cold beam-plasma instability

Published online by Cambridge University Press:  13 March 2009

M. R. Gupta
M. R. Gupta
Affiliation:
Centre of Advanced Study in Applied Mathematics, 92, Acharya Prafulla Chandra Rd., Calcutta 9, India
Get access Rights & Permissions [Opens in a new window]

Abstract

Nonlinear stabilization of cold beam plasma instability are studied on the basis of Dupree's theory of strong plasma turbulence. Calculations are carried out to second order in the perturbed electric field, and it is found that, for a narrow spectrum satisfying δκ/κ≪1, stabilization occurs for the trapping frequency ωT ť ∣qeκΕk/me∣½ ť γL the linear growth rate. Nonlinear frequency correction, and also the changes in the kinetic and thermal energy densities of the beam, are calculated as the waves grow. Some points of difference between the resonant and non-resonant instabilities are discussed.

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 8 , Issue 2 , October 1972 , pp. 159 - 168
Copyright
Copyright © Cambridge University Press 1972

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.)

Article purchase

Temporarily unavailable

References

REFERENCES

Aamodt, R. E. & Drummond, W. E. 1964 Phys. Fluids, 7, 1816.CrossRefGoogle Scholar
Akhiezer, A. I., Polovin, R. V., Sitenko, A. C. & Stepanov, K. N. 1967 Collective Oscillations in a Plasma. Pergamon.Google Scholar
Apel, J. R. 1969 Phys. Fluids, 12, 291, 640.CrossRefGoogle Scholar
Flynn, R. F. 1971 Phys. Fluids, 14, 956.CrossRefGoogle Scholar
Dupree, T. H. 1966 Phys. Fluids, 9, 1773.CrossRefGoogle Scholar
Dupree, T. H. 1967 Phys. Fluids, 10, 1049.CrossRefGoogle Scholar
Mannheimer, W. M. 1971 Phys. Fluids, 14, 579.CrossRefGoogle Scholar
O'Neil, T. M. 1965 Phys. Fluids, 8, 2255.CrossRefGoogle Scholar
Watson, G. N. 1944 Theory of Bessel Functions. Cambridge University Press.Google Scholar
Weinstock, J. 1968 Phys. Fluids, 11, 1977.CrossRefGoogle Scholar