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The test charge problem in the theory of bounded plasmas

Published online by Cambridge University Press:  13 March 2009

R. Tegeback
Affiliation:
Institute for Theoretical Physics, Academy of Sciences of the Ukrainian SSR, Kiev, USSR
A. S. Usenko
Affiliation:
Institute for Theoretical Physics, Academy of Sciences of the Ukrainian SSR, Kiev, USSR
I. P. Yakimenko
Affiliation:
Institute for Theoretical Physics, Academy of Sciences of the Ukrainian SSR, Kiev, USSR
A. G. Zagorodny
Affiliation:
Institute for Theoretical Physics, Academy of Sciences of the Ukrainian SSR, Kiev, USSR

Abstract

The test charge problem for a semi-infinite plasma is formulated. Expressions for the far field potential are derived for stationary and slowly moving test charges. By applying the superposition principle for uncorrelated dressed test particles we calculate the dynamic form factor as well as the energy spectrum of the spontaneous radiation field.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1977

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References

REFERENCES

Akhiezer, A. I.Sitenko, A. G. 1952 Zh. Eksp. Teor. Fiz. 23, 161.Google Scholar
Bhatnager, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.CrossRefGoogle Scholar
Clemmow, P. C. & Dougherty, J. P. 1969 Electrodynamics of Particles and Plasmas. Addison-Wesley.Google Scholar
Erdélyi, A. (Ed.) 1953 Higher Transcendental Functions, vol. 2. McGraw-Hill.Google Scholar
Fuse, M. & Ichimaru, S. 1975 J. Phys. Soc. Japan, 38, 559.CrossRefGoogle Scholar
Ginzburg, V. L. & Rukhadze, A. A. 1972 Handbuch der Physik, vol. 49/4, 335.Google Scholar
Ichimaru, S. 1965 Phys. Rev. 140 B, 226.CrossRefGoogle Scholar
Ichimaru, S. 1973 Basic Principles of Plasma Physics. Benjamin.Google Scholar
Ichimaru, S. & Yakimenko, I. P. 1973 Physica Scripta, 7, 198.CrossRefGoogle Scholar
Levin, M. L. & Rytov, S. M. 1967 Theory of Equilibrium Thermal Fluctuations in Electrodynamics. Nauka, Moscow.Google Scholar
Montgomery, D. 1971 Theory of the Unmagnetized Plasma, ch. 5. Gordon & Breach.Google Scholar
Montgomery, D., Joyce, G. R. & Sugihara, R. 1968 Plasma Phys. 10, 681.CrossRefGoogle Scholar
Muskhelishvili, N. I. 1953 Singular Integral Equations. P. Noordhoff, Holland.Google Scholar
Pines, D. & Bohm, D. 1952 Phys. Rev. 85, 338.CrossRefGoogle Scholar
Reuter, G. E. & Sondheimer, E. H. 1948 Proc. Roy. Soc. A195, 336.Google Scholar
Rosenbluth, M. N. & Rostoker, N. 1962 Phys. Fluids, 5, 776.CrossRefGoogle Scholar
Rostoker, N. 1964 Phys. Fluids, 7, 479, 491.CrossRefGoogle Scholar
Shukla, P. K., Spatschek, K. H. & Yu, M. Y. 1974 Can. J. Phys. 52, 281.CrossRefGoogle Scholar
Sitenko, A. G. 1967 Electromagnetic Fluctuations in Plasma. Academic.CrossRefGoogle Scholar
Sitenko, A. G. & Yakimenko, I. P. 1974 Advances in Plasma Physics, vol. 5 Simon, A. & Thompson, W. B.). Interscience.Google Scholar
Stenflo, L., Yu, M. Y. & Shukla, P. K. 1973 Phys. Fluids, 16, 450.CrossRefGoogle Scholar
Tegeback, R. & Stenflo, L. 1975a Z. Physik, B20, 105.Google Scholar
Tegeback, R. & Stenflo, L. 1975b Plasma Phys. 17, 991.CrossRefGoogle Scholar
Yakimenko, I. P. & Zagorodny, A. G. 1977 Physica Scripta. (To be published.)Google Scholar
Yu, M. Y., Tegeback, R. & Stenflo, L. 1973 Z. Physik, 264, 341.CrossRefGoogle Scholar