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Solitary dust sound waves in a plasma with two-temperature ions and distributed grain size

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Abstract

The propagation of weakly nonlinear dust sound waves in a dusty plasma containing two different-temperature ion species is explored. The nonlinear equations describing both the quadratic and cubic plasma nonlinearities are derived. It is shown that the properties of dust sound waves depend substantially on the grain size distribution. In particular, for solitary dust sound waves with a positive potential to exist in a plasma with distributed grain size, it is necessary that the difference between the temperatures of two ion species be larger than that in the case of equal-size grains.

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References

  1. N. N. Rao, P. K. Shukla, and M. Y. Yu, Planet. Space Sci. 38, 543 (1990).

    Article  ADS  Google Scholar 

  2. N. N. Rao, Phys. Plasmas 6, 4414 (1999).

    Article  ADS  Google Scholar 

  3. F. Melandso, Phys. Plasmas 3, 3890 (1996).

    Article  ADS  Google Scholar 

  4. H. Washimi and T. Taniuti, Phys. Rev. Lett. 17, 996 (1966).

    Article  ADS  Google Scholar 

  5. R. Z. Sagdeev, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1964; Consultants Bureau, New York, 1968), Vol. 4.

    Google Scholar 

  6. J. F. McKenzie, Phys. Plasmas 9, 800 (2002).

    Article  ADS  MathSciNet  Google Scholar 

  7. S. G. Tagare, Phys. Plasmas 4, 3167 (1997).

    Article  ADS  Google Scholar 

  8. B. S. Hie, K. F. He, and Z. Huang, Phys. Plasmas 6, 3808 (1999).

    Article  ADS  Google Scholar 

  9. B. Das and P. Chatterjee, Phys. Plasmas 13, 062106 (2006).

    Google Scholar 

  10. S. K. El-Labany, W. M. Moslem, and F. M. Safy, Phys. Plasmas 13, 082 903 (2006).

    Google Scholar 

  11. G. X. Wan, W. S. Duan, Q. H. Chen, and X. Y. Wang, Phys. Plasmas 13, 082 107 (2006).

  12. A. Brattll, Q. Havnes, and F. Melandso, J. Plasma Phys. 58, 691 (1997).

    Article  ADS  Google Scholar 

  13. V. W. Chow, D. A. Mendis, and M. Rosenberg, J. Geophys. Res. 98, 19 056 (1993).

    Google Scholar 

  14. M. Horanti and C. K. Goertz, Astrophys. J. 361, 155 (1990).

    Article  ADS  Google Scholar 

  15. N. F. Cramer, F. Verheest, and S. V. Vladimirov, Phys. Plasmas 9, 4845 (2002).

    Article  ADS  Google Scholar 

  16. K. D. Tripathi and S. K. Sharma, Phys. Plasmas 3, 4380 (1996).

    Article  ADS  Google Scholar 

  17. F. Verheest and T. Cattaert, Phys. Plasmas 10, 956 (2003).

    Article  ADS  Google Scholar 

  18. J. X. Ma and J. Liu, Phys. Plasmas 4, 253 (1997).

    Article  ADS  Google Scholar 

  19. M. R. Gupta, S. Sarkar, S. Ghosh, et al., Phys. Rev. E 63, 046 406 (2001).

  20. P. K. Shukla and A. A. Mamun, Introduction to Dusty Plasma Physics (Institute of Physics, Bristol, 2002).

    Google Scholar 

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Original Russian Text © V.V. Prudskikh, 2009, published in Fizika Plazmy, 2009, Vol. 35, No. 1, pp. 94–101.

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Prudskikh, V.V. Solitary dust sound waves in a plasma with two-temperature ions and distributed grain size. Plasma Phys. Rep. 35, 84–91 (2009). https://doi.org/10.1134/S1063780X09010103

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  • DOI: https://doi.org/10.1134/S1063780X09010103

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