Advertisement

Plasma Physics Reports

, Volume 37, Issue 1, pp 64–74 | Cite as

Nonlinear ion acoustic waves in a quantum degenerate warm plasma with dust grains

  • A. E. Dubinov
  • D. Yu. Kolotkov
  • M. A. Sazonkin
Dusty Plasma

Abstract

A study is made of the propagation of ion acoustic waves in a collisionless unmagnetized dusty plasma containing degenerate ion and electron gases at nonzero temperatures. In linear theory, a dispersion relation for isothermal ion acoustic waves is derived and an exact expression for the linear ion acoustic velocity is obtained. The dependence of the linear ion acoustic velocity on the dust density in a plasma is calculated. An analysis of the dispersion relation reveals parameter ranges in which the problem has soliton solutions. In nonlinear theory, an exact solution to the basic equations is found and examined. The analysis is carried out by Bernoulli’s pseudopotential method. The ranges of the phase velocities of periodic ion acoustic waves and the velocities of solitons are determined. It is shown that these ranges do not overlap and that the soliton velocity cannot be lower than the linear ion acoustic velocity. The profiles of the physical quantities in a periodic wave and in a soliton are evaluated, as well as the dependence of the critical velocity of solitons on the dust density in a plasma.

Keywords

Soliton Solitary Wave Plasma Physic Report Dusty Plasma Dust Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P. K. Shukla and S. Ali, Phys. Plasmas 12, 114502 (2005).CrossRefADSGoogle Scholar
  2. 2.
    S. Ali and P. K. Shukla, Phys. Plasmas 13, 022313 (2006).CrossRefADSGoogle Scholar
  3. 3.
    W. M. Moslem, P. K. Shukla, S. Ali, and R. Schlickeiser, Phys. Plasmas 14, 042107 (2007).CrossRefADSGoogle Scholar
  4. 4.
    W. F. El-Taibany and M. Wadati, Phys. Plasmas 14, 042302 (2007).CrossRefADSGoogle Scholar
  5. 5.
    A. Mushtaq, Phys. Plasmas 14, 113701 (2007).CrossRefADSMathSciNetGoogle Scholar
  6. 6.
    S. Ali, W. M. Moslem, I. Kourakis, and P. K. Shukla, New J. Phys. 10, 023007 (2008).CrossRefADSGoogle Scholar
  7. 7.
    S. A. Khan, W. Masood, and M. Siddiq, Phys. Plasmas 16, 013701 (2009).CrossRefADSGoogle Scholar
  8. 8.
    M. Sadiq, S. Ali, and R. Sabry, Phys. Plasmas 16, 013706 (2009).CrossRefADSGoogle Scholar
  9. 9.
    B. Sahu and R. Roychoudhury, Phys. Plasmas 14, 012304 (2007).CrossRefADSMathSciNetGoogle Scholar
  10. 10.
    S. A. Khan and A. Mushtaq, Phys. Plasmas 14, 083703 (2007).CrossRefADSGoogle Scholar
  11. 11.
    W. Masood, A. Mushtaq, and S. A. Khan, Phys. Plasmas 14, 123702 (2007).CrossRefADSGoogle Scholar
  12. 12.
    A. P. Misra, S. Samanta, and A. R. Chowdhury, J. Plasma Phys. 74, 197 (2007).ADSGoogle Scholar
  13. 13.
    S. Mahmood, Phys. Plasmas 15, 014502 (2008).CrossRefADSGoogle Scholar
  14. 14.
    M. Tribeche, S. Ghebache, K. Aoutou, and T. H. Zerguini, Phys. Plasmas 15, 033702 (2008).CrossRefADSGoogle Scholar
  15. 15.
    H. Ur-Rehman, S. A. Khan, W. Masood, and M. Siddiq, Phys. Plasmas 15, 124501 (2008).CrossRefADSGoogle Scholar
  16. 16.
    S. A. Khan, S. Mahmood, and A. M. Mirza, Phys. Lett. A 372, 148 (2008).ADSzbMATHCrossRefGoogle Scholar
  17. 17.
    Y.-Y. Wang and J.-F. Zhang, Phys. Lett. A 372, 6509 (2008).CrossRefADSzbMATHGoogle Scholar
  18. 18.
    W. Masood, M. Siddiq, Sh. Nargis, and A. M. Mirza, Phys. Plasmas 16, 013705 (2009).CrossRefADSGoogle Scholar
  19. 19.
    M. Salimullah, I. Zeba, Ch. Uzma, et al., Phys. Lett. A 372, 2291 (2008).CrossRefADSzbMATHGoogle Scholar
  20. 20.
    P. K. Shukla, J. Plasma Phys. 74, 107 (2007).ADSGoogle Scholar
  21. 21.
    S. Ali and P. K. Shukla, Eur. Phys. J. D 41, 319 (2007).CrossRefADSGoogle Scholar
  22. 22.
    P. K. Shukla and L. Stenflo, Phys. Lett. A 355, 378 (2006).CrossRefADSGoogle Scholar
  23. 23.
    W. Masood, M. Salimullah, and H. A. Shah, Phys. Lett. A 372, 6757 (2008).CrossRefADSzbMATHGoogle Scholar
  24. 24.
    Sh. Bagchi, K. R. Chowdhury, A. P. Mishra, and A. R. Chowdhury, Int. J. Theor. Phys. 48, 1132 (2009).zbMATHCrossRefGoogle Scholar
  25. 25.
    M. Salimullah, M. Jamil, H. A. Shah, and G. Murtaza, Phys. Plasmas 16, 014502 (2009).CrossRefADSGoogle Scholar
  26. 26.
    L. Stenflo, P. K. Shukla, and M. Marklund, Europhys. Lett. 74, 844 (2006).CrossRefADSMathSciNetGoogle Scholar
  27. 27.
    P. K. Shukla, Phys. Lett. A 352, 242 (2006).CrossRefADSGoogle Scholar
  28. 28.
    A. P. Misra and C. Bhowmik, Phys. Plasmas 16, 012103 (2009).CrossRefADSGoogle Scholar
  29. 29.
    S. Ali and P. K. Shukla, Phys. Plasmas 13, 102112 (2006).CrossRefADSGoogle Scholar
  30. 30.
    S. Ali and P. K. Shukla, Phys. Lett. A 372, 4827 (2008).CrossRefADSzbMATHGoogle Scholar
  31. 31.
    M. V. Kuzelev and A. A. Rukhadze, Usp. Fiz. Nauk 169, 687 (1999) [Phys. Usp. 42, 603 (1999)].CrossRefGoogle Scholar
  32. 32.
    G. Manfredi and F. Haas, Phys. Rev. B 64, 075316 (2001).CrossRefADSGoogle Scholar
  33. 33.
    A. E. Dubinov, Prikl. Mekh. Tekh. Fiz. 48, 3 (2007).Google Scholar
  34. 34.
    A. E. Dubinov and A. A. Dubinova, Fiz. Plazmy 33, 935 (2007) [Plasma Phys. Rep. 33, 859 (2007)].Google Scholar
  35. 35.
    A. E. Dubinov, Fiz. Plazmy 33, 239 (2007) [Plasma Phys. Rep. 33, 210 (2007)].Google Scholar
  36. 36.
    A. E. Dubinov and M. A. Sazonkin, Zh. Tekh. Fiz. 78(9), 29 (2008) [Tech. Phys. 53, 1129 (2008)].Google Scholar
  37. 37.
    A. E. Dubinov and M. A. Sazonkin, Fiz. Plazmy 35, 18 (2009) [Plasma Phys. Rep. 35, 14 (2009)].Google Scholar
  38. 38.
    B. M. Mladek, G. Kahl, and M. Neumann, J. Chem. Phys. 124, 064503 (2006).CrossRefADSGoogle Scholar
  39. 39.
    A. E. Dubinov and A. A. Dubinova, Fiz. Plazmy 34, 442 (2008) [Plasma Phys. Rep. 34, 403 (2008)].Google Scholar
  40. 40.
    F. Haas and M. Lazar, Phys. Rev. E 77, 046404 (2008).CrossRefADSGoogle Scholar
  41. 41.
    B. Eliasson and P. K. Shukla, Phys. Scr. 78, 025503 (2008).CrossRefADSGoogle Scholar
  42. 42.
    A. E. Dubinov, A. A. Dubinova, and M. A. Sazonkin, Radiotekh. Élektron. 55, 968 (2010) [J. Comm. Technol. Electron. 55, 907 (2010)].Google Scholar
  43. 43.
    G. N. Pykhteev and I. N. Meleshko, Properties and Calculation of Polylogarithms (Izd. BGU, Minsk, 1976) [in Russian].Google Scholar
  44. 44.
    A. A. Dubinova, Zh. Tekh. Fiz. 79(2), 48 (2009) [Tech. Phys. 54, 210 (2009)].Google Scholar
  45. 45.
    V. F. Zaitsev and A. D. Polyanin, Handbook of Ordinary Differential Equations (Nauka, Moscow, 2001) [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  • A. E. Dubinov
    • 1
  • D. Yu. Kolotkov
    • 1
  • M. A. Sazonkin
    • 1
  1. 1.Sarov State Physical and Technical Institute, SarovNizhni Novgorod oblastRussia

Personalised recommendations