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Theoretical model of the nonlinear resonant interaction of whistler-mode waves and field-aligned electrons

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posted on 2021-04-12, 11:13 authored by A Artemyev, Anatoly NeishtadtAnatoly Neishtadt, J Albert, L Gan, W Li, Q Ma
The nonlinear resonant interaction of intense whistler-mode waves and energetic electrons in the Earth’s radiation belts is traditionally described by theoretical models based on the consideration of slow-fast resonant systems. Such models reduce the electron dynamics around the resonance to the single pendulum equation, that provides solutions for the electron nonlinear scattering (phase bunching) and phase trapping. Applicability of this approach is limited to not-too-small electron pitch-angles (i.e., sufficiently large electron magnetic moments), whereas model predictions contradict to the test particle results for small pitch-angle electrons. This study is focused on such field-aligned (small pitch-angle) electron resonances. We show that the nonlinear resonant interaction can be described by the slow-fast Hamiltonian system with the separatrix crossing. For the first cyclotron resonance, this interaction results in the electron pitch-angle increase for all resonant electrons, contrast to the pitch-angle decrease predicted by the pendulum equation for scattered electrons. We derive the threshold value of the magnetic moment of the transition to a new regime of the nonlinear resonant interaction. For field-aligned electrons the proposed model provides the magnitude of magnetic moment changes in the nonlinear resonance. This model supplements existing models for not-too-small pitch-angles and contributes to the theory of the nonlinear resonant electron interaction with intense whistler-mode waves.

Funding

Russian Scientific Foundation, project 19-12-00313

Leverhulme Trust, project RPG2018-143

NASA grants 80NSSC19K0845, 80NSSC20K0698, 80NSSC20K0196

NSF grants AGS-1723588 and AGS-1847818

NASA FINESST grant 80NSSC20K1506

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physics of Plasmas

Volume

28

Issue

5

Publisher

AIP Publishing

Version

  • AM (Accepted Manuscript)

Rights holder

© The Authors

Publisher statement

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Physics of Plasmas 28 (5), 052902 (2021) and may be found at https://doi.org/10.1063/5.0046635.

Acceptance date

2021-04-09

Publication date

2021-05-13

Copyright date

2021

ISSN

1070-664X

eISSN

1089-7674

Language

  • en

Depositor

Prof Anatoly Neishtadt. Deposit date: 9 April 2021

Article number

052902

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