Skip to main content
SpringerLink
Log in

Beltrami Fields in Partially Ionized Plasmas

  • Original Research
  • Published:
Journal of Fusion Energy Aims and scope Submit manuscript

Abstract

The steady state equilibrium equation for partially ionized plasma is derived. The relaxed state is a triple curl Beltrami equation which can be cast as a superposition of three Beltrami fields. This is the result of introducing inertia of all the constituents of partially ionized plasma. The triple curl Beltrami field is governed by three scale parameters, one corresponds to large scale (system size) while the other two represent the small scale structures of the order of electron skin depth.

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. L. Woltjer, Proc. Natl. Acad. Sci., USA 44, 489 (1958)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. J.B. Taylor, Phys. Rev. Lett. 33, 1139 (1974)

    Article  ADS  Google Scholar 

  3. J.B. Taylor, Rev. Mod. Phys. 58, 741 (1986)

    Article  ADS  Google Scholar 

  4. S.M. Mahajan, Z. Yoshida, Phys. Rev. Lett. 81, 4863 (1998)

    Article  ADS  Google Scholar 

  5. Z. Yoshida, S.M. Mahajan, ibid. 88, 095001 (2002)

    Article  ADS  Google Scholar 

  6. S. Ohsaki, N.L. Shatashvili, Z. Yoshida, S.M. Mahajan, Astrophys. J. 559, L–61 (2001)

    Article  Google Scholar 

  7. S.M. Mahajan, Z. Yoshida, Phys. Plasmas 7, 635 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  8. P.N. Guzdar, S.M. Mahajan, Z. Yoshida, ibid. 12, 032502 (2005)

    ADS  Google Scholar 

  9. Z. Yoshida, S.M. Mahajan, S. Ohsaki, M. Iqbal, N. Shatashvili, ibid. 8, 2125 (2001)

    ADS  Google Scholar 

  10. M. Iqbal, A.M. Mirza, G. Murtaza, Z. Yoshida, ibid. 8, 1559 (2001)

    ADS  Google Scholar 

  11. M. Iqbal, J. Plasma. Phys. 71, 335 (2005)

    Article  ADS  Google Scholar 

  12. V. Krishan, S.M. Mahajan, Solar Physics 220, 29 (2004)

    Article  ADS  Google Scholar 

  13. P.K. Shukla, S.M. Mahajan, Physica Scripta T 113, 151 (2004)

    ADS  Google Scholar 

  14. P.K. Shukla, S.M. Mahajan, Phys. Lett. A 328, 185 (2004)

    Article  MATH  ADS  Google Scholar 

  15. P.K. Shukla, Phys. Lett. A 334, 205 (2005)

    Article  MATH  ADS  Google Scholar 

  16. Z. Yoshida, S.M. Mahajan, J. Math. Phys. 40, 5080 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. A.A. Taveira, P.H. Sakanaka, C.E. Scussiato, B. Dasgupta, AIP Conf. Proc. 669, 597 (2003)

    Google Scholar 

  18. R. Bhattacharyya, M.S. Janaki, B. Dasgupta, Phys. Lett. A 315, 120 (2003)

    Article  ADS  Google Scholar 

  19. M. Iqbal, V.I. Berezhiani, Z. Yoshida, Phys. Plasmas 15, 032905 (2008)

    Article  ADS  Google Scholar 

  20. V.B. Baranov, H.J. Fahr, J. Geophys. Res. 108, 1110 (2003)

    Article  Google Scholar 

  21. M. Suzuki, J.I. Sakai, Astrophys. J. 465, 393 (1996)

    Article  ADS  Google Scholar 

  22. L. Stenflo, P.K. Shukla, N.L. Tsintsadze, Phys. Lett. A 191, 159 (1994)

    Article  ADS  Google Scholar 

  23. V. Krishan, Z. Yoshida, Phys. Plasmas 13, 092303 (2006)

    Article  ADS  Google Scholar 

  24. S. Chandrasekhar, P.C. Kendall, Astrophys. J. 126, 457 (1957)

    Article  ADS  MathSciNet  Google Scholar 

  25. Z. Yoshida, Y. Giga, Math. Z. 204, 235 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  26. P.K. Shukla, Phys. Plasmas 11, 5354 (2004)

    Article  ADS  Google Scholar 

  27. A. Lazarian, H. Yan, Astrophys. J. 566, L105 (2002)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

The author would like to acknowledge helpful discussions with Professor Z. Yoshida. This work was partially done during the International Scientific Spring held on March 01–04 and one day International Workshop on Plasma Physics dedicated to Professor G. Murtaza held on March 05, 2011 at National Centre for Physics, Islamabad, Pakistan.

Author information

Authors and Affiliations

  1. Department of Physics, University of Engineering and Technology, Lahore, 54890, Pakistan

    M. Iqbal

Authors
  1. M. Iqbal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Iqbal.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Iqbal, M. Beltrami Fields in Partially Ionized Plasmas. J Fusion Energ 31, 44–46 (2012). https://doi.org/10.1007/s10894-011-9421-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10894-011-9421-4

Keywords

Search

Navigation