Skip to main content
SpringerLink
Log in

Landau damping of dust acoustic waves in a dusty plasma

  • Original paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

By using the Vlasov equation, Landau damping of dust acoustic waves is investigated by assuming Maxwell velocity distribution of dust grains for a three component, unmagnetized and collisionless dusty plasma consisting of extremely massive, high negatively charged inertial dust grains, inertialess Boltzmann distribution of ions and electrons with charge neutrality at equilibrium. It is observed that for long wave length, Landau damping is weak, while it is strong for short wave length. Landau damping in a dusty plasma is also explained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J Dawson Phys. Fluids 4 869 (1961)

    Article  ADS  Google Scholar 

  2. L D Landau J. Phys. (Moscow) 10 25 (1946)

    MATH  Google Scholar 

  3. J H Malmberg and C B Wharton Phys. Rev. Lett. 13 184 (1964)

    Article  ADS  Google Scholar 

  4. R N Franklin, S M Hamberger and G J Smith Phys. Rev. Lett. 29 914 (1972)

    Article  ADS  Google Scholar 

  5. T M O’Neil Phys. Fluids 8 2255 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  6. J Canosa and J Gazdag Phys. Fluids 17 2030 (1974)

    Article  ADS  Google Scholar 

  7. H Oei and D G Swanson Phys. Fluids 15 2218 (1972)

    Article  ADS  Google Scholar 

  8. G Brodin Phys. Rev. Lett. 78 1263 (1997)

    Article  ADS  Google Scholar 

  9. R Bingham, J T Mendonca and J M Dawson Phys. Rev. Lett. 78 247 (1997)

    Article  ADS  Google Scholar 

  10. J T Mendonca and R Bingham Phys. Plasmas 9 2604 (2002)

    Article  ADS  Google Scholar 

  11. J V Hollweg Phys. Rev. Lett. 27 1349 (1971)

    Article  ADS  Google Scholar 

  12. R Sugaya Phys. Fluids B5 201 (1993)

    Article  ADS  Google Scholar 

  13. G Mandal, K Roy and P Chatterjee Indian J. Phys. 83 365 (2009)

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

    Book  Google Scholar 

  15. F Verheest, V V Yaroshenko and M A Hellberg Phys. Plasmas 9 2479 (2004)

    Article  ADS  Google Scholar 

  16. S Benkadda, N V Tsytovich and A Verga Comments Plasma Phys. Controlled Fusion 16 321 (1995)

    Google Scholar 

  17. Kourakis and P K Shukla Phys. Lett. A 351 122 (2006)

  18. P K Shukla Phys. Plasmas 11 3676 (2004)

    Article  ADS  Google Scholar 

  19. R Hou and Y N Wang Acta Phys. Sin. 52 434 (2003)

    Google Scholar 

  20. X Ma and J Y Liu Phys. Plasmas 4 253 (1997)

    Article  ADS  Google Scholar 

  21. S Xie, K F He and Z Q Huang Phys. Lett. A 247 403 (1998)

    Article  ADS  Google Scholar 

  22. S Xie and M Y Yu Phys. Rev. E 62 8501 (2000)

    Article  ADS  Google Scholar 

  23. X Ma, J Y Liu and M Y Yu Phys. Rev. E 55 4627 (1997)

    Article  ADS  Google Scholar 

  24. T V Losseva, S I Popel, M Y Yu and J X Ma Phys. Rev. E 75 046403 (2007)

    Article  ADS  Google Scholar 

  25. Y N Wang, J Chou, Y X Zhu, D Chang and J K Chang Regul. Pept. 37 327 (1992)

    Article  Google Scholar 

  26. S I Popel, S I Kopnin, I N Kosarev and M Y Yu Adv. Space Res. 37 414 (2006)

    Article  ADS  Google Scholar 

  27. K Roy and P Chatterjee Indian J. Phys. 85 1653 (2011)

  28. H R Pakzad Indian J. Phys. 84 867 (2010)

    Article  ADS  Google Scholar 

  29. F Melandsϕ and P K Shukla Planet. Space. Sci. 43 635 (1995)

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

    Article  ADS  Google Scholar 

  31. P K Shukla and V P Silin Phys. Scr. 45 508 (1992)

    Article  ADS  Google Scholar 

  32. A Barkan, R L Merlino and N DAngelo Phys. Plasmas 2 3563 (1995)

    Article  ADS  Google Scholar 

  33. F Verheest Planet. Space Sci. 40 1 (1992)

    Article  ADS  Google Scholar 

  34. N D’Angelo Planet. Space Sci. 38 1143 (1990)

    Article  ADS  Google Scholar 

  35. Y X Shi, D B De and J Wu Acta Phys. Sin. 53 793 (2004) (in Chinese)

    Google Scholar 

  36. R L Merlino et al. Phys. Plasmas 5 1607 (1998)

  37. Y Nakamura and A Sarma Phys. Plasmas 8 3921 (2001)

    Article  ADS  Google Scholar 

  38. S I Popel et al. Plasma Physics Reports 30 284 (2004)

    Article  ADS  Google Scholar 

  39. S I Popel et al. Contrib. Plasma Phys. 45 461 (2005)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is supported by the Doctoral Scientific Research Fund of Lanzhou City University (LZCU-BS2013-06).

Author information

Authors and Affiliations

  1. School of Urban Economics and Tourism Culture, Lanzhou City University, Lanzhou, 730070, Gansu, China

    K-M Li, L-F Kang, C-Y Wang, X Li & W-Z Huang

Authors
  1. K-M Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L-F Kang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C-Y Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. X Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. W-Z Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K-M Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, KM., Kang, LF., Wang, CY. et al. Landau damping of dust acoustic waves in a dusty plasma. Indian J Phys 88, 1207–1210 (2014). https://doi.org/10.1007/s12648-014-0566-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-014-0566-7

Keywords

PACS Nos.

Search

Navigation