Skip to main content
Log in

Quasi-linear relativistic treatment of electron cyclotron fluctuations in a magnetized plasma

  • Published:
Il Nuovo Cimento D

Summary

The relativistic quasi-linear theory of electron cyclotron fluctuations is developed for a homogeneous plasma. Expressions are given for the absorption and emission coefficients, consistently with the currently employed linear theory. The extension to the inhomogeneousplasma case is considered and shown to allow the analysis of wave propagation, absorption and emission in plasmas of physical interest.

Riassunto

Si sviluppa la teoria quasi lineare relativistica per le fluttuazioni di onde elettroniche di ciclotrone per un plasma omogeneo. Si otteggono inoltre le espressioni dei coefficienti d'assorbimento ed emissione del plasma, consistentemente con la teoria lineare correntemente usata. Si considera infine l'estensione della teoria ad un plasma disomogeneo, applicandola all'analisi quantitativa di propagazione, assorbimento ed emissione di onde di ciclotrone.

Резюме

Для однородной плазмы развивается релятивистская квазилинейная теория электронных циклотронных флуктуаций. Приводятся вйражения для коэффициентов поглощения и испускания, соответствующих повсеместно используемой линейной теории. Рассматривается обобщения и излучения волн в плазме в физическн интересных случаях.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. A. Vedenov, E. P. Velikhov andR. Z. Sagdeev:Nucl. Fusion Suppl., 465 (1962).

  2. V. L. Yakimenko:J. Exp. Theor. Phys.,44, 1534 (1963).

    MathSciNet  Google Scholar 

  3. C. F. Kennel andF. Engelmann:Phys. Fluids,9, 2377 (1966).

    Article  ADS  Google Scholar 

  4. A. A. Vedenov:Theory of Turbulent Plasma (London Iliffe Books, London, 1968).

    Google Scholar 

  5. A. I. Akhiezer, I. A. Akhiezer, R. V. Polovin, A. G. Sitenko andK. N. Stepanov:Plasma Electrodynamics, Vol.2 (Pergamon Press, London, 1975).

    Google Scholar 

  6. D. C. Montgomery andD. A. Tidman:Plasma Kinetic Theory (McGraw-Hill Book Co., New York, N. Y., 1964).

    Google Scholar 

  7. I. Cook:Lectures on the non-linear theory of plasmas, Report CLM/L20, Culham Laboratory (1972) (unpublished).

  8. C. F. F. Karney andN. J. Fisch:Nucl. Fusion,21, 1549 (1981).

    Google Scholar 

  9. R. A. Cairns, J. Owen andC. N. Lashmore-Davies:Phys. Fluids,26, 3475 (1983).

    Article  MATH  ADS  Google Scholar 

  10. E. Moghddam-Taaheri, L. Vlahos, H. L. Rowland andK. Papadopoulos:Phys. Fluids,28, 3356 (1985).

    Article  ADS  Google Scholar 

  11. J. G. Cordey, T. Enlington andD. F. H. Stuart:Plasma Phys.,24, 73 (1982).

    Article  ADS  Google Scholar 

  12. M. J. Lighthill:Introduction to Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge, 1962).

    Google Scholar 

  13. E. S. Weibel andJ. Vaklavik:Phys. Fluids,24, 413 (1981).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  14. F. Yasseen andJ. Vaklavik:Phys. Fluids,26, 468 (1983).

    Article  MATH  ADS  Google Scholar 

  15. F. Yasseen andJ. Vaklavik: Report LRP 227/83 (CRPP-Ecole Polytechnique Fédérale de Lausanne), 1985.

  16. A. Mikhailovski: inReview of Plasma Physics, Vol.3, edited byM. A. Leontovich (Consultants Bureau, New York, N. Y., 1967), p. 159.

    Google Scholar 

  17. E. Lazzaro andA. Orefice: Report EURATOM/CNR FP 79/15 (1979) (unpublished).

  18. A. Orefice:J. Plasma Phys.,34, 319 (1985).

    ADS  Google Scholar 

  19. C. F. Kennel andH. V. Wong:J. Plasma Phys.,1, 75 (1967).

    Article  ADS  Google Scholar 

  20. E. G. Harris: inPhysics of Hot Plasmas, edited byJ. Rye andJ. C. Taylor (Oliver and Boyd, Edinburgh, 1970), p. 145.

    Google Scholar 

  21. V. N. Tsytovich:Nonlinear Effects in Plasma (Plenum Press, New York, N. Y., 1970).

    Google Scholar 

  22. V. S. Belikov andYa. I. Koleshnichenko:Plasma Phys.,24, 61 (1982).

    Article  ADS  Google Scholar 

  23. G. Bekefi:Radiation Processes in Plasma (J. Wiley and Sons, New York, N. Y., 1966).

    Google Scholar 

  24. A. Airoldi, A. Orefice andG. Ramponi:Nuovo Cimento D,6, 527 (1985).

    ADS  Google Scholar 

  25. A. Airoldi, A. Orefice andg. Ramponi: Final report on JET Contract No. JT4/9001, EURATOM/CNR Report FP 86/2.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Orefice, A. Quasi-linear relativistic treatment of electron cyclotron fluctuations in a magnetized plasma. Il Nuovo Cimento D 8, 318–332 (1986). https://doi.org/10.1007/BF02450745

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02450745

PACS. 52.35.Mw.

PACS. 52.40.Db.

PACS. 52.50.Gj.

Navigation