Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-27T13:43:54.059Z Has data issue: false hasContentIssue false

Cut-off conditions and existence domains for large-amplitude ion-acoustic solitons and double layers in 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
R. Bharuthram
Affiliation:
Department of Physics, University of Durban-Westville, Private Bag X54001, Durban 4000, South Africa
M. A. Hellberg
Affiliation:
Plasma Physics Research Institute, Department of Physics, University of Natal, King George V Avenue, Durban 4001, South Africa

Abstract

It is shown how existence domains for arbitrary-amplitude ion-acoustic solitons and double layers are determined numerically by cut-off conditions on the corresponding Sagdeev potential. A two-electron-temperature model is considered, and in positive-ion plasmas the cut-off conditions are given in terms of the electron parameters, while for negative-ion plasmas such conditions are described in terms of parameters characterizing the role of the negative ion species.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

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

Alexeff, U., Jones, W. D. & Montgomery, D. 1967 Phys. Rev. Lett. 19, 422.CrossRefGoogle Scholar
Baboolal, S. 1988 a J. Phys. Soc. Japan, 57, 750.CrossRefGoogle Scholar
Baboolal, S. 1988 b Ion-acoustic Double-layers and Solitons. Ph.D. thesis, University of Natal, Durban.Google Scholar
Baboolal, S., Bharuthram, R. & Hellberg, M. A. 1988 J. Plasma Phys. 40, 163.CrossRefGoogle Scholar
Baboolal, S., Bharuthram, R. & Hellberg, M. A. 1989 a J. Plasma Phys. 41, 341.CrossRefGoogle Scholar
Baboolal, S., Bharuthram, R. & Hellberg, M. A. 1989 b Phys. Fluids, B (submitted).Google Scholar
Bezzerides, B., Forslund, D. W. & Lindman, E. L. 1978 Phys. Fluids, 21, 2179.CrossRefGoogle Scholar
Bharuthram, R. & Shukla, P. K. 1986 Phys. Fluids, 29, 3214.CrossRefGoogle Scholar
Block, L. P. 1978 Astrophys. Space Sci. 55, 59.CrossRefGoogle Scholar
Boström, R., Gustafsson, G., Holdback, B., Holmgren, G., Koskinen, H. & Kintner, P. 1988 Phys. Rev. Lett. 61, 82.CrossRefGoogle Scholar
Bute, B. 1980 Phys. Lett. 76A, 251.CrossRefGoogle Scholar
Chen, F. 1984 Plasma Physics and Controlled Fusion, vol. 1. Plenum.Google Scholar
Estabrook, E. & Kruer, W. L. 1978 Phys. Rev. Let. 40, 42.CrossRefGoogle Scholar
Giovanielli, D. V., Kephart, J. F. & Williams, A. H. 1976 J. Appi. Phys. 47, 2907.CrossRefGoogle Scholar
Hudson, M. K., Lotko, W., Roth, I. & Witt, E. 1983 J. Geophys. Res. 88A, 916.CrossRefGoogle Scholar
Jones, W. D., Lee, A., Gleman, S. M. & Doucet, H. J. 1975 Phys. Rev. Lett. 35, 1349.CrossRefGoogle Scholar
Krokhin, O. N. & Tsybenko, S. P. 1986 Soviet J. Plasma Phys. 12, 365.Google Scholar
Ludmirsky, A., Eliezer, S., Arad, B., Borowitz, A., Gazit, Y., Jackel, S., Krumbein, A. D., Saltzmann, D. & Szichman, H. 1985 IEEE Trans. Plasma Sci. 13, 132.CrossRefGoogle Scholar
Ludwig, G. O., Ferreira, J. L. & Nakamura, Y. 1984 Phys. Rev. Lett. 52, 275.CrossRefGoogle Scholar
Mozer, F. S. & Temerin, M. 1983 High Latitude Space Plasma Physics (ed. Hultquist, B. & Hagfors, T.), p. 453. Plenum.CrossRefGoogle Scholar
Nakamura, Y. 1985 Nonlinear and Environmental Electromagnetics (ed. Kikuchi, H.), p. 139. Elsevier.Google Scholar
Nakamura, Y. 1987 J. Plasma Phys. 38, 461.CrossRefGoogle Scholar
Nakamura, Y., Ferreira, J. L. & Ludwig, G. O. 1985 a J. Plasma Phys. 33, 237.CrossRefGoogle Scholar
Nakamura, Y., Tsukabayashi, I., Ludwig, G. O. & Ferreira, J. L. 1985 b Phys. Lett. 113A, 155.CrossRefGoogle Scholar
Nishida, Y. & Nagasawa, T. 1986 Phys Fluids, 29, 345.CrossRefGoogle Scholar
Nishihara, K. & Tajiri, M. 1981 J. Phys. Soc. Japan, 50, 4047.CrossRefGoogle Scholar
Raychaudhuri, S., Gabl, E. F., Das, K. P. & Sengupta, S. N. 1985 Plasma Phys. Contr. Fusion, 27, 299.CrossRefGoogle Scholar
Schamel, H. 1982 a Proceedings of Symposium on Plasma Double Layers (ed. P. Michelsen & J. Juul Rasmussen). Report RISø-R-472, Risø National Laboratory, Denmark, p. 274.Google Scholar
Schamel, H. 1982 b Physica Scripta, T2/1, 238.Google Scholar
Schamel, H. & Bujarbarua, S. 1983 Phys. Fluids, 26, 190.CrossRefGoogle Scholar
Sutradhar, S. & Bujarbarua, S. 1987 J. Phys. Soc. Japan, 56, 139.CrossRefGoogle Scholar
Tajiri, M. & Nishihara, K. 1985 J. Phys. Soc. Japan, 54, 572.CrossRefGoogle Scholar
Tajiri, M. & Toda, M. 1985 J. Phys. Soc. Japan, 54, 19.CrossRefGoogle Scholar
Temerin, M., Cerny, K., Lotko, W. & Mozer, F. S. 1982 Phys. Rev. Lett. 48, 1175.CrossRefGoogle Scholar
Verheest, F. 1988 J. Plasma Phys. 39, 71.CrossRefGoogle Scholar
Watanabe, S. 1984 J. Phys. Soc. Japan, 53, 950.CrossRefGoogle Scholar