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Arbitrary-amplitude rarefactive ion-acoustic double layers in warm multi-fluid plasmas

Published online by Cambridge University Press:  13 March 2009

S. Baboolal
Affiliation:
Department of Applied Mathematics, University of Durban-Westville, Private Bag X54001, Durban 4000, South Africa and Plasma Physics Research Institute, University of Natal
R. Bharuthram
Affiliation:
Department of Physics, University of Durban-Westville, Private Bag X54001, Durban 4000, South Africa and Plasma Physics Research Institute, University of Natal
M. A. Hellberg
Affiliation:
Plasma Physics Research Institute, University of Natal, King George V Avenue, Durban 4001, South Africa

Abstract

Large- and small-amplitude rarefactive ion-acoustic double layers have recently been studied in a fluid plasma with double Maxwellian electrons and a single cold ion species. Here the stationary large-amplitude theory is generalized to include two warm ion species. A technique for numerically solving the full nonlinear problem is presented. With it, useful predictions of the effect of ion temperatures and of light-ion contamination on the double-layer structure are made. A generalization to an arbitrary number of similar fluid components is pointed out. The small-amplitude perturbation theory is also extended to such a plasma, and in its restricted regime good qualitative agreement is obtained with the results of the large-amplitude theory.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

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References

REFERENCES

Ameniya, H. & Nakamura, Y. 1986 Plasma Phys. Contr. Fusion, 28, 1613.CrossRefGoogle Scholar
Bharuthram, R. & Shukla, P. K. 1986 Phys. Fluids, 29, 3214.CrossRefGoogle Scholar
Block, L. P. 1972 Cosmic Electrodyn. 3, 349.Google Scholar
Chen, F. 1974 Introduction to Plasma Physics. Plenum Press.Google Scholar
Coakley, P. & Hershkowitz, N. 1979 Phys. Fluids, 22, 1171.CrossRefGoogle Scholar
Goswami, K. S. & Bujarbarua, S. 1985 Phys. Lett. A 108, 149.CrossRefGoogle Scholar
Hudson, M. K., Lotko, W., Roth, I. & Witt, E. 1983 J. Geophys. Res. 88, 916.CrossRefGoogle Scholar
Kellogg, P. J., Monson, S. J. & Whalen, B. A. 1984 Geophys. Res. Lett. 11, 515.CrossRefGoogle Scholar
Levine, J. S. & Crawford, F. W. 1980 J. Plasma Phys. 23, 223.CrossRefGoogle Scholar
Lighthill, M. J. 1965 J. Inst. Maths Applics, 1, 269.CrossRefGoogle Scholar
Lysak, R., Lotko, W., Hudson, M. & Witt, E. 1982 Proceedings of Symposium on Plasma Double Layers (ed. P. Michelsen & J. Juul Rasmussen), Risø National Laboratory, Denmark, Report RISØ-R-472, p. 274.Google Scholar
Muller, D. E. 1956 Math. Tables and Aids to Comp. 10, 208.CrossRefGoogle Scholar
Nejoh, J. 1987 Phys. Lett. A 123, 245.CrossRefGoogle Scholar
Raadu, M. A. & Chanteur, G. 1986 Physica Scripta, 33, 240.CrossRefGoogle Scholar
Sagdeev, R. Z. 1966 Reviews of Plasma Physics (ed. Leontovich, M. A.), pp. 2391. Consultants Bureau.Google Scholar
Sato, T. & Okuda, H. 1980 Phys. Rev. Lett. 44, 740.CrossRefGoogle Scholar
Sato, T. & Okuda, H. 1981 J. Geophys. Res. 86, 3357.CrossRefGoogle Scholar
Singh, N., Thiemann, H. & Schunk, R. W. 1986 IEEE Trans. Plasma Sci. 14, 805.CrossRefGoogle Scholar
Smith, R. A. 1982 Physica Scripta, T2/1, 238.Google Scholar
Stoer, J. & Bulirsch, R. 1980 Introduction to Numerical Analysis. Springer.CrossRefGoogle Scholar
Sutradhar, S. & Bujarbarua, S. 1987 J. Phys. Soc. Jpn, 56, 139.CrossRefGoogle Scholar
Tajiri, M. & Nishihara, K. 1985 J. Phys. Soc. Jpn, 54, 572.CrossRefGoogle Scholar
Taniuti, T. & Nishihara, K. 1983 Nonlinear Waves, p. 100. Pitman.Google Scholar
Temerin, M., Cerny, K., Lotko, W. & Mozer, F. S. 1982 Phys. Rev. Lett. 48, 1175.CrossRefGoogle Scholar
Torven, S. 1981 Phys. Rev. Lett. 47, 1053.CrossRefGoogle Scholar
Torven, S. & Andersson, D. 1979 J. Phys. D12, 717.Google Scholar
Tran, M. Q. 1974 Plasma Phys. 16, 1167.CrossRefGoogle Scholar
Traub, J. F. 1964 Iterative Methods for the Solution of Equations, p. 120. Prentice-Hall.Google Scholar
Watanabe, S. 1984 J. Phys. Soc. Jpn, 53, 950.CrossRefGoogle Scholar
Whitham, G. B. 1974 Linear and Nonlinear Waves. Wiley.Google Scholar