Abstract
Interaction of relativistic electrons with packets of the electromagnetic ion cyclotron waves of finite length and low amplitude in the Earth’s radiation belts is analyzed. The variance of the equatorial pitch angle of electrons for wave packets located near the Earth’s geomagnetic equator is estimated analytically within the linear approximation. The analytical estimates agree with the results of numerical test-particle simulation. It is demonstrated that reduction in the packet length extends the interaction range to lower energies beyond the range of resonant energies. Such an interaction can result in precipitation of electrons with energies on the order of several hundred kiloelectronvolts into the ionosphere.
REFERENCES
C. F. Kennel and H. E. Petschek, J. Geophys. Res. 71, 1 (1966). https://doi.org/10.1029/JZ071i001p00001
B. A. Tverskoy, Rev. Geophys. 7, 219 (1969). https://doi.org/10.1029/RG007i001p00219
L. R. Lyons and R. M. Thorne, J. Geophys. Res. 78, 2142 (1973). https://doi.org/10.1029/JA078i013p02142
P. A. Bespalov and V. Yu. Trakhtengerts, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1980; Consultants Bureau, New York, 1986), Vol. 10.
V. Y. Trakhtengerts and M. J. Rycroft, J. Atmos. Sol.-Terr. Phys. 62, 1719 (2000). https://doi.org/10.1016/S1364-6826(00)00122-X
W. Li and M. K. Hudson, J. Geophys. Res.: Space Phys. 124, 8319 (2019). https://doi.org/10.1029/2018JA025940
R. M. Thorne and C. F. Kennel, J. Geophys. Res. 76, 4446 (1971). https://doi.org/10.1029/JA076i019p04446
R. M. Millan and R. Thorne, J. Atmos. Sol.-Terr. Phys. 69, 362 (2007). https://doi.org/10.1016/j.jastp.2006.06.019
S. K. Morley, R. H. W. Friedel, T. E. Cayton, and E. Noveroske, Geophys. Res. Lett. 37, L06102 (2010). https://doi.org/10.1029/2010GL042772
M. J. Engebretson, J. L. Posch, J. R. Wygant, C. A. Kletzing, M. R. Lessard, C.-L. Huang, H. Spence, C. W. Smith, H. J. Singer, V. Omura, R. B. Horne, G. D. Reeves, D. N. Baker, M. Gkioulidou, K. Oksavik, et al., J. Geophys. Res.: Space Phys. 120, 5465 (2015). https://doi.org/10.1002/2015JA021227
D. Summers and R. M. Thorne, J. Geophys. Res.: Space Phys. 108, 1143 (2003). https://doi.org/10.1029/2002JA009489
A. Y. Ukhorskiy, Y. Y. Shprits, B. J. Anderson, K. Takahashi, and R. M. Thorne, Geophys. Res. Lett. 37, L09101 (2010). https://doi.org/10.1029/2010GL042906
B. Ni, X. Cao, Z. Zou, C. Zhou, X. Gu, J. Bortnik, J. Zhang, S. Fu, Z. Zhao, R. Shi, and L. Xie, J. Geophys. Res.: Space Phys. 120, 7357 (2015). https://doi.org/10.1002/2015JA021466
A. T. Hendry, C. J. Rodger, and M. A. Clilverd, Geophys. Res. Lett. 44, 1210 (2017). https://doi.org/10.1002/2016GL071807
L. Capannolo, W. Li, Q. Ma, L. Chen, X.-C. Shen, H. E. Spence, J. Sample, A. Johnson, M. Shumko, D. M. Klumpar, and R. J. Redmon, Geophys. Res. Lett. 46, 12711 (2019). https://doi.org/10.1029/2019GL084202
X. An, A. Artemyev, V. Angelopoulos, X. Zhang, D. Mourenas, and J. Bortnik, Phys. Rev. Lett. 129, 135101 (2022). https://doi.org/10.1103/PhysRevLett.129.135101
L. Chen, R. M. Thorne, J. Bortnik, and X.-J. Zhang, J. Geophys. Res.: Space Phys. 121, 9913 (2016). https://doi.org/10.1002/2016JA022813
J. Kangas, A. Guglielmi, and O. Pokhotelov, Space Sci. Rev. 83, 435 (1998). https://doi.org/10.1023/A:1005063911643
A. Demekhov, J. Atmos. Sol.-Terr. Phys. 69, 1609 (2007). https://doi.org/10.1016/j.jastp.2007.01.014
M. J. Engebretson, A. Keiling, K. H. Fornacon, C. A. Cattell, J. R. Johnson, J. L. Posch, S. R. Quick, K. -H. Glassmeier, G. K. Parks, and H. Rème, Planet. Space Sci. 55, 829 (2007). https://doi.org/10.1016/j.pss.2006.03.015
M. J. Engebretson, J. L. Posch, A. M. Westerman, N. J. Otto, J. A. Slavin, G. Le, R. J. Strangeway, and M. R. Lessard, J. Geophys. Res.: Space Phys. 113, A07206 (2008). https://doi.org/10.1029/2008JA013145
J. S. Pickett, B. Grison, Y. Omura, M. J. Engebretson, I. Dandouras, A. Masson, M. L. Adrian, O. Santolik, P. M. E. Decreau, N. Cornilleau-Wehrlin, and D. Constantinescu, Geophys. Res. Lett. 37, L09104 (2010). https://doi.org/10.1029/2010GL042648
D. R. Shklyar, in Plasma Heliogeophysics, Ed. by L. M. Zelenyi and I. S. Veselovskii (Fizmatlit, Moscow, 2008), Vol. 2, p. 496.
J. M. Albert, X. Tao, and J. Bortnik, in Dynamics of the Earth’s Radiation Belts and Inner Magnetosphere, Ed. by D. Summers, I. R. Mann, D. N. Baker, and M.‑G. Schulz, Geophysical Monograph Series, Vol. 199 (AGU, Washington, D.C., 2012), p. 255. https://doi.org/10.1029/2012gm001324
J. M. Albert and J. Bortnik, Geophys. Res. Lett. 36, L12110 (2009). https://doi.org/10.1029/2009GL038904
V. S. Grach and A. G. Demekhov, Radiophys. Quantum Electron. 60, 942 (2018).
Y. Hobara, V. Y. Trakhtengerts, A. G. Demekhov, and M. Hayakawa, J. Geophys. Res.: Space Phys. 103, 20449 (1998). https://doi.org/10.1029/98JA01746
D. L. Pasmanik, A. G. Demekhov, D. Nunn, V. Y. Trakhtengerts, and M. J. Rycroft, J. Geophys. Res.: Space Phys. 107, 1162 (2002). https://doi.org/10.1029/2001JA000256
V. S. Grach, A. V. Artemyev, A. G. Demekhov, X.‑J. Zhang, J. Bortnik, V. Angelopoulos, R. Nakamura, E. Tsai, C. Wilkins, and O. W. Roberts, Geophys. Res. Lett. 49, e2022GL099994 (2022). https://doi.org/10.1029/2022GL099994
V. Angelopoulos, E. Tsai, L. Bingley, C. Shaffer, D. L. Turner, A. Runov, W. Li, J. Liu, A. V. Artemyev, X.-J. Zhang, R. J. Strangeway, R. E. Wirz, Y. Y. Shprits, V. A. Sergeev, R. P. Caron, et al., Space Sci. Rev. 216, 103 (2020). https://doi.org/10.1007/s11214-020-00721-7
J. L. Burch, T. E. Moore, R. B. Torbert, and B. L. Giles, Space Sci. Rev. 199, 5 (2016). https://doi.org/10.1007/s11214-015-0164-9
S. V. Pil’gaev, A. V. Larchenko, Yu. V. Fedorenko, M. V. Filatov, and A. S. Nikitenko, Instrum. Exp. Tech. 64, 744 (2021). https://doi.org/10.1134/S0020441221040229
V. S. Grach, A. G. Demekhov, and A. V. Larchenko, Earth, Planets Space 73, 129 (2021). https://doi.org/10.1186/s40623-021-01453-w
Funding
Research carried out by V.S. Grach (derivation of analytical expressions, numerical simulations, comparison of the results of analytical and numerical calculations) was supported by the Russian Science Foundation, project no. 19-72-10111. Research carried out by A.G. Demekhov (formulation of the problem and analysis of the results of the calculations) was supported by the Russian Science Foundation, project no. 22-62-00048.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Grach, V.S., Demekhov, A.G. Interaction of Relativistic Electrons with Packets of the Electromagnetic Ion Cyclotron Waves of Finite Length and Low Amplitude. Plasma Phys. Rep. 49, 901–911 (2023). https://doi.org/10.1134/S1063780X23600561
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X23600561