Skip to main content
Log in

Alfvén Wave Amplification as a Result of Parametric Quasi-Resonant Interaction with Magnetoacoustic Waves in Heat-Releasing Isentropically Unstable Plasma

  • PLASMA PHYSICS
  • Published:
Russian Physics Journal Aims and scope

Quasi-resonant parametric decay of a magnetoacoustic wave into two Alfvén waves in a heat-releasing plasma is considered. It is shown that in the case of isentropical instability under the resonant conditions (zero frequency detuning) the Alfvén waves undergo bi-exponential amplification. The presence of frequency detuning prior to this amplification gives rise to parametric modulation of the Alfvén wave amplitude, whose duration increases with detuning. A boundary frequency detuning is determined, at which there is no amplification of the Alfvén waves.

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. D. G. Wentzel, Solar Phys., 39, 129–140 (1974).

    Article  ADS  Google Scholar 

  2. S. W. McIntosh, B. de Pontieu, M. Carlsson, et al., Nature, 475, 477 (2011).

    Article  ADS  Google Scholar 

  3. G. B. Field, Astrophys. J., 142, 531–567 (1955).

    Article  ADS  Google Scholar 

  4. N. E. Molevich, D. I. Zavershinsky, R. N. Galimov, and V.G. Makaryan, Astrophys. Space Sci., 334, 35 (2011).

    Article  ADS  Google Scholar 

  5. D. I. Zavershinsky and N. E. Molevich, Tech. Phys. Lett., 39, 676 (2013).

    Article  ADS  Google Scholar 

  6. N. E. Molevich, D. I. Zavershinskiy, and D. S. Ryashchikov, Magnetohydrodynamics, 52, 191 (2016).

    Article  Google Scholar 

  7. N. E. Molevich, D. I. Zavershinskiy, and D. S. Ryashchikov, Magnetohydrodynamics, 52, 199 (2016).

    Article  Google Scholar 

  8. V. M. Nakariakov et al., Astrophys. J., 528, Iss. 2, 767–775 (2000).

    Article  ADS  Google Scholar 

  9. R. Chin, R. Verwichte, et al., Phys. Plasmas, 17, No. 3, 032107 (1–12) (2010).

    Article  Google Scholar 

  10. K. V. Krasnobaev et al., Astron. Lett., 42, Iss. 7, 460–473 (2016).

    Article  ADS  Google Scholar 

  11. D. I. Zavershinsky and N. E. Molevich, Astrophys. Space Sci., 358, 22 (2015).

    Article  ADS  Google Scholar 

  12. D. I. Zavershinsky and N. E. Molevich, Tech. Phys. Lett., 40, 7012014 (2014).

    Article  Google Scholar 

  13. S. A. Belov, N. E. Molevich, and D. I. Zavershinskii, Tech. Phys. Lett., 44, No. 5, 41–48 (2018).

    Google Scholar 

  14. E. N. Parker, Astrophys. J., 117, 431–436 (1953).

    Article  ADS  Google Scholar 

  15. V. F. Zaitsev and A. D. Polyanin, A Reference Book on Ordinary Differential Equations [in Russian], Fizmatlit, Moscow (2001).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. А. Belov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 3–8, February, 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Belov, S.А., Molevich, N.E. & Zavershinskii, D.I. Alfvén Wave Amplification as a Result of Parametric Quasi-Resonant Interaction with Magnetoacoustic Waves in Heat-Releasing Isentropically Unstable Plasma. Russ Phys J 62, 179–185 (2019). https://doi.org/10.1007/s11182-019-01699-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-019-01699-8

Keywords

Navigation