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On the existence of weak stationary electron-acoustic double layers

Published online by Cambridge University Press:  13 March 2009

R. L. Mace  and
M. A. Hellberg
R. L. Mace
Affiliation:
Plasma Physics Research Institute, Department of Physics, University of Natal, Durban, South Africa
M. A. Hellberg
Affiliation:
Plasma Physics Research Institute, Department of Physics, University of Natal, Durban, South Africa
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Abstract

The recent interest in the electron-acoustic wave as a source of broad-band electrostatic noise in the terrestrial magnetosphere makes it interesting to ask whether it can support stationary electrostatic double layers. We investigate this problem in a fluid plasma composed of cool ions, cool electrons and a hot Boltzmann electron component – which is known to support electron-acoustic waves. Although a formal application of the reductive perturbation technique to our dynamical equations leads to an mKdV equation for electron-acoustic waves, it is found that within the present physical model the consistency conditions and required ordering of the coefficients cannot be satisfied simultaneously for reasonable parameter values. As a consequence, it is shown that the neglect of the φ(2) term in deriving the mKdV equation is unjustified under general circumstances, and furthermore that the cubic nonlinearity introduced by the mKdV equation is negligible when compared with this term. Finally, we are led to conclude that stationary, weak electron-acoustic double layers cannot exist in such a plasma.

Type
Research Article
Information
Journal of Plasma Physics , Volume 49 , Issue 2 , April 1993 , pp. 283 - 293
Copyright
Copyright © Cambridge University Press 1993

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References

REFERENCES

Alfvén, H. 1981 Cosmic Plasma. Reidel.CrossRefGoogle Scholar
Alvén, H. 1986 IEEE Trans. Plasma Sci. 14, 779.Google Scholar
Baboolal, S., Bharuthram, R. & Hellberg, M. A. 1988 J. Plasma Phys. 40, 163.CrossRefGoogle Scholar
Baboolal, S., Bharuthram, R. & Hellberg, M. A. 1991 J. Plasma Phys. 46, 247.Google Scholar
Bharuthram, R. & Shukla, P. K. 1986 Phys. Fluids 29, 3214.CrossRefGoogle Scholar
Chowdhury, A. R., Pakira, G. P. & Paul, S. N. 1989 J. Plasma Phys. 41, 447.Google Scholar
Dey, M., Goswami, K. S. & Bujarbarua, S. 1988 Physica B 152, 385.CrossRefGoogle Scholar
Dubouloz, N., Pottelette, R., Malingre, M. & Treumann, R. A. 1991 Geophys. Res. Lett. 18, 155.CrossRefGoogle Scholar
Frank, L. A. & Ackerson, K. L. 1971 J. Geophys. Res. 76, 3612.Google Scholar
Gary, S. P. 1987 Phys. Fluids 30, 2745.Google Scholar
Gary, P. & Tokar, R. L. 1985 Phys. Fluids 28, 2439.CrossRefGoogle Scholar
Goswami, K. S. & Bujarbarua, S. 1985 Phys. Lett. 108A, 149.Google Scholar
Goswami, K. S. & Bujarbarua, S. 1987 Nuovo Cim. 9D, 1133.Google Scholar
Goswami, K. S., Kalita, M. K. & Bujarbarua, S. 1986 Plasma Phys. Gonir. Fusion 28, 289.Google Scholar
Gurnett, D. A. & Frank, L. A. 1973 J. Geophys. Res. 78, 145.CrossRefGoogle Scholar
Hellberg, M. A., Baboolal, S., Mace, R. L. & Bharuthram, R. 1992 IEEE Trans. Plasma Sci. 20, 695.CrossRefGoogle Scholar
Kellogg, P. J., Monson, S. J. & Whalen, B. A. 1984 Geophys. Res. Lett. 11, 515.Google Scholar
Kim, K. Y. 1983 Phys. Lett. 97A, 45.Google Scholar
Mace, R. L. 1992 Ph.D. thesis, University of Natal.Google Scholar
Mace, R. L., Baboolal, S., Bharuthram, R. & Hellberg, M. A. 1991 J. Plasma Phys. 45,323.Google Scholar
Mace, R. L. & Hellberg, M. A. 1990 J. Plasma Phys. 43, 239.Google Scholar
Mace, R. L. & Hellberg, M. A. 1993 J. Geophys. Res. 98, 5881.CrossRefGoogle Scholar
Mace, R. L., Hellberg, M. A., Bharuthram, R. & Baboolal, S. 1992 J. Plasma Phys. 47, 61.Google Scholar
McIlwain, C. E. 1960 J. Geophys. Res. 65, 2727.CrossRefGoogle Scholar
Raadu, M. A. & Ramussen, J. J. 1988 Astrophys. Space Sci. 144, 43.Google Scholar
Sarma, S. N., Kalita, M. K. & Bujarbarua, S. 1986 Contrib. Plasma Phys. 26, 367.Google Scholar
Schamel, H. 1983 Z. Naturforsch. 38A, 1170.Google Scholar
Temerin, M., Cerny, K., Lotko, W. & Mozer, F. S. 1982 Phys. Rev. Lett. 48, 1175.Google Scholar
Tokar, R. L. & Gary, S. P. 1984 Geophys. Res. Lett. 11, 1180.Google Scholar
Verheest, F. 1993 Phys. Scripta (to appear).Google Scholar
Washimi, H. & Taniuti, T. 1966 Phys. Rev. Lett. 17, 996.Google Scholar
Watanabe, S. 1984 J. Phys. Soc. Japan 53, 950.Google Scholar
Yu, M. Y. & Shukla, P. K. 1983 J. Plasma Phys. 29, 409.CrossRefGoogle Scholar