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Nonlinear modulation of ion-acoustic waves in two-electron-temperature plasmas

Published online by Cambridge University Press:  04 February 2010

A. ESFANDYARI-KALEJAHI ,
I. KOURAKIS  and
M. AKBARI-MOGHANJOUGHI
A. ESFANDYARI-KALEJAHI
Affiliation:
Department of Physics, Faculty of Science, Azarbaijan University of Tarbiat Moallem, 51745-406, Tabriz, Iran (ra-esfandyari@azaruniv.edu)
I. KOURAKIS
Affiliation:
Department of Physics and Astronomy, Centre for Plasma Physics, Queen's University Belfast, BT7 1NN, Northern Ireland, UK
M. AKBARI-MOGHANJOUGHI
Affiliation:
Department of Physics, Faculty of Science, Azarbaijan University of Tarbiat Moallem, 51745-406, Tabriz, Iran (ra-esfandyari@azaruniv.edu)
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Abstract

The amplitude modulation of ion-acoustic waves is investigated in a plasma consisting of adiabatic warm ions, and two different populations of thermal electrons at different temperatures. The fluid equations are reduced to nonlinear Schrödinger equation by employing a multi-scale perturbation technique. A linear stability analysis for the wave packet amplitude reveals that long wavelengths are always stable, while modulational instability sets in for shorter wavelengths. It is shown that increasing the value of the hot-to-cold electron temperature ratio (μ), for a given value of the hot-to-cold electron density ratio (ν), favors instability. The role of the ion temperature is also discussed. In the limiting case ν = 0 (or ν → ∞), which correspond(s) to an ordinary (single) electron-ion plasma, the results of previous works are recovered.

Type
Papers
Information
Journal of Plasma Physics , Volume 76 , Issue 2 , April 2010 , pp. 169 - 181
Copyright
Copyright © Cambridge University Press 2010

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References

[1]Olsen, N. A. and Lee, Y. C. 1974 Phys. Rev. Lett. 33, 1539.CrossRefGoogle Scholar
[2]Jones, W. D., Lee, A., Gleman, S. M. and Doucet, H. J. 1975 Phys. Rev. Lett. 35, 1349.CrossRefGoogle Scholar
[3]Sudan, R. N. 1973 Proceedings of VI European Conference on Controlled Fusion and Plasma Physics, Vol. 2. USSR Academy of Science, Moscow.Google Scholar
[4]Morales, G. J. and Lee, Y. C. 1974 Phys. Rev. Lett. 33, 1539.Google Scholar
[5]Krall, N. A. and Trivepiece, A. W.Principles of Plasma Physics. New York: McGraw Hill.Google Scholar
[6]Ergun, R. E., et al. 1998 Geophys. Res. Lett. 25, 2061; Delory, G. T., Ergun, R. E., Carlson, C. W., Muschietti, L., Chaston, C. C., Peria, W., McFadden, J. P. and Strangeway, R. 1998 Geophys. Res. Lett. 25 2069; Pottelette, R., Ergun, R. E., Treumann, R. A., Berthomier, M., Carlson, C. W., McFadden, J. P. and Roht, I. 1999 Geophys. Res. Lett. 26, 2629.CrossRefGoogle Scholar
[7]McFadden, J. P., Carlson, C. W., Ergun, R. E., Mozer, F. S., Muschietti, Roht I. and Moebius, E. 2003 Geophys. Res. 108, 8018.CrossRefGoogle Scholar
[8]Temerin, M. 1982 Phys. Rev. Lett. 48, 1175.CrossRefGoogle Scholar
[9]Boström, R. 1988 Phys. Rev. Lett. 61, 82.CrossRefGoogle Scholar
[10]Berthomier, M., Pottelette, R. and Malinger, M. 1998 J. Geophys. Res. 103 (A3), 8261.Google Scholar
[11]Matsumoto, H., Kojima, H., Omura, Y., Nagano, I. and Pickett, J. S. 1998 J. Geophys. Res. 25, 1277; Cattell, C. A., Dombeck, J., Wygant, J. R., Hudson, M. K., Mozer, F. S., Kletzing, M. A., Russell, C. T. and Pfaff, R. F. J. Geophys. Res. 26, 425.Google Scholar
[12]Taniuti, T. and Yajima, N. 1969 J. Math. Phys. 10, 1346; Asano, N., Taniuti, T. and Yajima, N. 1969 J. Math. Phys. 10, 2020.CrossRefGoogle Scholar
[13]Tagare, S. G. 1973 Plasma Physics 15, 1247.CrossRefGoogle Scholar
[14]Tran, M. Q. 1979 Physica Scripta 20, 317.CrossRefGoogle Scholar
[15]Ikezi, H. 1973 Phys. Fluids 16, 1668.CrossRefGoogle Scholar
[16]Lonngren, K. E. 1998 Optical and Quantum Electronics 30, 615.CrossRefGoogle Scholar
[17]Goswami, B. N. and Buti, B. 1976 Phys. Lett. A57, 149.CrossRefGoogle Scholar
[18]Sayal, V. K., Yadav, L. L. and Shamara, S. R. 1993 Phys. Scr. 47.CrossRefGoogle Scholar
[19]Yadav, L. L., Tiwari, R. S. and Shamara, S. R. 1995 Phys. Rev. E 52.Google Scholar
[20]Rao, N. N. and Shukla, P. K. 1997 Phys. Plasmas 4.CrossRefGoogle Scholar
[21]Chatterjee, P. and Roychoudhury, R. 1997 Can. J. Pys. 75.Google Scholar
[22]Nishihara, K. and Tajiri, M. 1981 J. Phys. Soc. Japan 50, 4047.CrossRefGoogle Scholar
[23]Yadav, L. L. and Sharma, R. S. 1990 Phys. Lett. 150A, 397.CrossRefGoogle Scholar
[24]Mamun, A. A. and Cairns, R. A. 1996 J. Plasma Phys. 56, 157.CrossRefGoogle Scholar
[25]Kourakis, I. and Shukla, P. K. 2005 Nonlin. Proc. Geophys. 12, 407.CrossRefGoogle Scholar
[26]Sulem, P. and Sulem, C. 1999 Nonlinear Schrödinger Equation. Berlin, Germany: Springer-Verlag.Google Scholar
[27]Sharma, A. S. and Buti, B. 1978 Pramana 10, 629.CrossRefGoogle Scholar
[28]Kourakis, I. and Shukla, P. K. 2003 J. Phys. A, Math. Gen. 36, 11901.CrossRefGoogle Scholar
[29]Kourakis, I. and Shukla, P. K. 2004 Phys. Plasmas 11, 4506.CrossRefGoogle Scholar
[30]Esfandyari-Kalejahi, A. and Asgari, H. 2005 Phys. Plasma 12, 102302.CrossRefGoogle Scholar
[31]McKenzie, J. F., Verheest, F., Doyle, T. B. and Hellberg, M. A. 2005 Phys. Plasmas 12, 102305.CrossRefGoogle Scholar
[32]McKenzie, J. F., Doyle, T. B., Hellberg, M. A. and Verheest, F. 2005 J. Plasma Phys. 71, 163.CrossRefGoogle Scholar
[33]Cattaert, T., Verheest, F. and Hellberg, M. A. 2005 Phys. Plasmas 12, 42901.CrossRefGoogle Scholar
[34]Dae-Han, Ki and Young-Daejung, 2007 J. Plasma Phys. 73, 433.Google Scholar
[35]Lazarus, I. J., Bharuthram, R. and Hellberg, M. A. 2008 J. Plasma Phys. 74, 519.CrossRefGoogle Scholar
[36]Rios, L. A., Shukla, P. K. and Serbeto, A. 2009 J. Plasma Phys. 75, 3.CrossRefGoogle Scholar
[37]Singh, S. V., Reddy, R. V. and Lakhina, G. S. 2001 Adv. Space Res. 28, 1643.CrossRefGoogle Scholar
[38]Singh, S. V. and Lakhina, G. S. 2001 Planet. Space Res. 49, 107.CrossRefGoogle Scholar
[39]Kourakis, I. and Shukla, P. K. 2004 Phys. Rev. E 69, 036411.Google Scholar
[40]Shukla, P. K., Hellberg, M. A. and Stenflo, L. 2003 J. Atmosph. Solar-Terrestrial Phys. 65, 355.CrossRefGoogle Scholar
[41]Fedele, R., Schamel, H. and Shukla, P. K. 2002 Phys. Scr. T 98, 18.Google Scholar
[42]Xue, Ju-Kui, Duan, Wan-Shan and Lang, He, 2002 Chin. Phys. Soc. 11, 1184.Google Scholar
[43]Kakutani, T. and Sugimoto, N. 1974 Phys. Fluids 17, 1617.CrossRefGoogle Scholar
[44]Kourakis, I. and Shukla, P. K. 2003 Phys. Plasma 10, 3459.CrossRefGoogle Scholar