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Acceleration of Nonthermal Electrons in Coordinated Interaction with Whistler Turbulence in a Flare Loop

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Abstract

This work is devoted to the study of the self-consistent interaction of nonthermal electrons injected into a flare loop and whistler turbulence in it. Both processes of redistribution of injected electrons by energy and pitch angles and processes of internal generation and damping of turbulence itself are considered. It is shown that both in the growth phase and in the decay phase of the injection, whistler generation occurs at relatively high frequencies. The interaction of nonthermal electrons with these waves leads to an increase in their concentration in the energy range of 50–150 keV due to efficient pitch-angle scattering and an additional stochastic acceleration process.

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REFERENCES

  1. Arnold, H., Drake, J.F., Swisdak, M., et al., Electron acceleration during macroscale non-relativistic magnetic reconnection, Phys. Rev. Lett., 2021, vol. 126, no. 13, p. 135101.

    Article  Google Scholar 

  2. Avrett, E.H. and Loeser, R., Models of the solar chromosphere and transition region from SUMER and HRTS observations: Formation of the extreme-ultraviolet spectrum of hydrogen, carbon, and oxygen, Astrophys. J. Suppl. Ser., 2008, vol. 175, pp. 229–276.

    Article  Google Scholar 

  3. Bespalov, P.A. and Trakhtengerts, V.Yu., On the modes of turbulent diffusion by pitch-angles in a geomagnetic trap, Fiz. Plazmy, 1979, vol. 5, no. 2, pp. 383–390.

    Google Scholar 

  4. Charikov, Yu.E., Mel’nikov, V.F., and Kudryavtsev, I.V., Intensity and polarization of the hard X-ray radiation of solar flares at the top and footpoints of a magnetic loop, Geomagn. Aeron. (Engl. Transl.), 2012, vol. 52, no. 8, pp. 1021–1031.

  5. Filatov, L.V. and Melnikov, V.F., Influence on whistler turbulence on fast electron distribution and their microwave emission in a flare loop, Geomagn. Aeron. (Engl. Transl.), 2017, vol. 57, no. 8, pp. 1001–1008.

  6. Filatov, L.V. and Melnikov, V.F., Additional stochastic acceleration of nonthermal electrons during their interaction with whistler turbulence in flare, Geomagn. Aeron. (Engl. Transl.), 2022, vol. 62, no. 8, pp. 1059–1065.

  7. Hamilton, R.J. and Petrosian, V., Stochastic acceleration of electrons and effects of collisions in solar flares, Astrophys. J., 1992, vol. 398, no. 10, pp. 350–358.

    Article  Google Scholar 

  8. Hamilton, R.J., Lu, E.T., and Petrosian, V., Numerical solution of the time-dependent kinetic equation for electrons in magnetized plasma, Astrophys. J., 1990, vol. 354, no. 1, pp. 726–734.

    Article  Google Scholar 

  9. Huang, G., Melnikov, V.F., Ji, H., and Ning, Z., Solar Flare Loops: Observations and Interpretations, Springer Singapore, 2018.

    Google Scholar 

  10. Kadomtsev, B.B., Turbulentnost’ plazmy. Voprosy teorii plazmy (Plasma Turbulence. Problems in Plasma Theory), vol. 4, Atomizdat, 1964.

  11. Kaplan, S.A. and Tsytovich, V.N., Plasma Astrophysics, Oxford: Pergamon, 1973.

    Google Scholar 

  12. Mal’tseva, O.A. and Chernov, G.P., Kinetic amplification (damping) of whistlers in the solar corona, Kinematika Fiz. Nebesnykh Tel, 1989, vol. 5, no. 6, pp. 44–54.

    Google Scholar 

  13. Melnikov, V.F. and Filatov, L.V., Conditions for whistler generation by nonthermal electrons in flare loops, Geomagn. Aeron. (Engl. Transl.), 2020, vol. 60, no. 8, pp. 1126–1131.

  14. Mel’nikov, V.F., Gorbikov, S.P., Reznikova, V.E., and Shibasaki, K., Distribution of relativistic electrons along flaring loops, Izv. Ross. Akad. Nauk: Ser. Fiz., 2006, vol. 70, no. 10, pp. 1472–1474.

    Google Scholar 

  15. Melrose, D.B., Resonant scattering of particles and second phase acceleration in the solar corona, Sol. Phys., 1974, vol. 37, no. 4, pp. 353–365.

    Article  Google Scholar 

  16. Melrose, D.B., Plasma Astrophysics, vol. 2, Sydney–New York, 1980.

    Google Scholar 

  17. Miller, J.A. and Ramaty, R., Relativistic electron transport and bremsstrahlung production in solar flares, Astrophys. J., 1989, vol. 344, no. 15, pp. 973–990.

    Article  Google Scholar 

  18. Stepanov, A.V. and Tsap, Y.T., Electron–whistler interaction in coronal loops and radiation signatures, Sol. Phys., 2002, vol. 211, pp. 135–154.

    Article  Google Scholar 

  19. Tsytovich, V.N., Teoriya turbulentnoi plazmy (Theory of Turbulent Plasma), Moscow: Atomizdat, 1971.

  20. Vedenov, A.A., Velikhov, E.P., and Sagdeev, R.Z., Quasi-linear theory of plasma, Yad. Sint., 1962, vol. 2, no. 2, pp. 465–475.

    Google Scholar 

  21. Viktorov, M. and Izotov, I., Kiseleva E, et al. Kinetic whistler instability in a mirror-confined plasma of a continuous ECR ion source, Phys. Plasmas, 2023, vol. 30, no. 2, pp. 1–9.

    Article  Google Scholar 

  22. Wentzel, D.G., Condition for “storage” of energetic particles in the solar corona, Astrophys. J., 1976, vol. 208, pp. 595–608.

    Article  Google Scholar 

  23. Zaitsev, V.V. and Stepanov, A.V., Coronal magnetic arcs, Phys.-Usp., 2008, vol. 51, no. 11, pp. 1123–1160.

    Article  Google Scholar 

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Funding

This work was supported by the Russian Science Foundation, project no. 22-12-00308 (VFM), and the Russian Foundation for Basic Research_Czech Republic, project no. 20-52-26 006 (LVF).

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Correspondence to L. V. Filatov.

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Translated by O. Pismenov

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Filatov, L.V., Melnikov, V.F. Acceleration of Nonthermal Electrons in Coordinated Interaction with Whistler Turbulence in a Flare Loop. Geomagn. Aeron. 63, 1079–1085 (2023). https://doi.org/10.1134/S0016793223070071

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  • DOI: https://doi.org/10.1134/S0016793223070071

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