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.
Similar content being viewed by others
REFERENCES
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.
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.
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.
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.
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.
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.
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.
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.
Huang, G., Melnikov, V.F., Ji, H., and Ning, Z., Solar Flare Loops: Observations and Interpretations, Springer Singapore, 2018.
Kadomtsev, B.B., Turbulentnost’ plazmy. Voprosy teorii plazmy (Plasma Turbulence. Problems in Plasma Theory), vol. 4, Atomizdat, 1964.
Kaplan, S.A. and Tsytovich, V.N., Plasma Astrophysics, Oxford: Pergamon, 1973.
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.
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.
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.
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.
Melrose, D.B., Plasma Astrophysics, vol. 2, Sydney–New York, 1980.
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.
Stepanov, A.V. and Tsap, Y.T., Electron–whistler interaction in coronal loops and radiation signatures, Sol. Phys., 2002, vol. 211, pp. 135–154.
Tsytovich, V.N., Teoriya turbulentnoi plazmy (Theory of Turbulent Plasma), Moscow: Atomizdat, 1971.
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.
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.
Wentzel, D.G., Condition for “storage” of energetic particles in the solar corona, Astrophys. J., 1976, vol. 208, pp. 595–608.
Zaitsev, V.V. and Stepanov, A.V., Coronal magnetic arcs, Phys.-Usp., 2008, vol. 51, no. 11, pp. 1123–1160.
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).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by O. Pismenov
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0016793223070071