Skip to main content
SpringerLink
Log in

Frequency shift and anomalous resistivity of turbulent plasmas in external electric and magnetic fields

  • Published:
Zeitschrift für Physik

Abstract

Accounting for the modified orbits of plasma particles due to constant external electric and magnetic fields, a general expression for the velocity space diffusion tensor of a turbulent plasma is derived. The nonlinear frequency shift and the anomalous resistivity in the presence of external fields are calculated. It is shown that the effect of a strong external electric field on the frequency shift is to reduce its magnitude. Furthermore, the dependence of the anomalous resistivity on the external magnetic field is obtained.

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. Gary, S.P., Paul, J.W.M.: Phys. Rev. Lett.26, 1097 (1971)

    Google Scholar 

  2. Davidson, R.C.: Methods in Nonlinear Plasma Theory, Chap. 9. New York: Academic Press 1972

    Google Scholar 

  3. Sagdeev, R.Z.: Proc. Vth. European Conf. Controlled Fusion and Plasma Physics, Grenoble 1972, Vol. II, p. 105, and references cited therein

    Google Scholar 

  4. Caponi, M.Z., Davidson, R.C.: Phys. Rev. Lett.31, 86 (1973)

    Google Scholar 

  5. Dupree, T.H.: Phys. Fluids9, 1773 (1966)

    Google Scholar 

  6. Weinstock, J.: Phys. Fluids11, 1977 (1968)

    Google Scholar 

  7. Weinstock, J.: Phys. Fluids12, 1045 (1969)

    Google Scholar 

  8. Weinstock, J.: Phys. Fluids13, 2308 (1970)

    Google Scholar 

  9. Weinstock, J.: Phys. Fluids15, 454 (1972)

    Google Scholar 

  10. Birmingham, T.J., Bornatici, M.: Phys. Fluids15, 1778 (1972)

    Google Scholar 

  11. Cook, I., Taylor, J.B.: J. Plasma Phys.9, 131 (1973)

    Google Scholar 

  12. Sheffield, J.: Phys. Fluids11, 222 (1968)

    Google Scholar 

  13. Halseth, M.W., Pyle, R.V.: Phys. Fluids13, 1238 (1970)

    Google Scholar 

  14. Hamberger, S.M., Jancarik, J.: Phys. Rev. Lett.25, 999 (1970)

    Google Scholar 

  15. Nambu, M.: J. Geophys. Res.78, 769 (1973)

    Google Scholar 

  16. Lee, Y.C., Liu, C.S.: Phys. Rev. Lett.30, 361 (1973)

    Google Scholar 

  17. Watson, G.: Theory of Bessel Functions, p. 320. Cambridge: University Press 1944

    Google Scholar 

  18. Gupta, M.R.: J. Plasma Phys.8, 159 (1972)

    Google Scholar 

  19. Sleeper, A., Weinstock, J., Bezzerides, B.: Phys. Rev. Lett.29, 343 (1972)

    Google Scholar 

  20. Bezzerides, B., Weinstock, J.: Phys. Rev. Lett.28, 481 (1972)

    Google Scholar 

  21. Clemmow, P.C., Dougherty, J.P.: Electrodynamics of Particles and Plasmas, p. 269. Reading: Addison-Wesley 1969

    Google Scholar 

  22. Gordeyev, G.V.: J. Exp. Phys. (U.S.S.R.)6, 660 (1952)

    Google Scholar 

  23. Wesson, J.A., Sykes, A.: Phys. Rev. Lett.31, 449 (1973)

    Google Scholar 

  24. Kadomtsev, B.B.: Plasma Turbulence, p. 71. London: Academic Press 1965

    Google Scholar 

  25. Biskamp, D., Chodura, N.: Phys. Rev. Lett.27, 1553 (1971)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik der Ruhr-Universität Bochum, Federal Republic of Germany

    K. H. Spatschek & P. K. Shukla

Authors
  1. K. H. Spatschek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. K. Shukla
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work has been performed within the activities of the Sonderforschungsbereich 162, Plasmaphysik Bochum/Jülich.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Spatschek, K.H., Shukla, P.K. Frequency shift and anomalous resistivity of turbulent plasmas in external electric and magnetic fields. Z. Physik 267, 193–200 (1974). https://doi.org/10.1007/BF01669220

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01669220

Keywords

Search

Navigation