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Long-term dynamics driven by resonant wave-particle interactions: from Hamiltonian resonance theory to phase space mapping

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posted on 2021-02-17, 09:52 authored by Anton Artemyev, Anatoly NeishtadtAnatoly Neishtadt, Alexey Vasiliev, Xiao-Jia Zhang, Didier Mourenas, Dmitri Vainchtein
In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant trajectory analysis and then generalize them into the map in the energy/pitch-angle space. The main advances of this approach are the possibility to consider effects of many resonances and to simulate the evolution of the resonant particle ensemble on long time ranges. For illustrative purposes we consider the system with resonant relativistic electrons and field-aligned whistler-mode waves. The simulation results show that the electron phase space density within the resonant region is flattened with reduction of gradients. This evolution is much faster than the predictions of quasi-linear theory. We discuss further applications of the proposed approach and possible ways for its generalization.

Funding

Russian Scientific Foundation (project no. 19-12-00313)

NSF grant 2021749 and NASA grant 80NSSC20K1270

NASA grants 80NSSC20K1578 and 80NSSC19K0266

Leverhulme Trust grant RPG-2018-143

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Plasma Physics

Volume

87

Issue

2

Publisher

Cambridge University Press (CUP)

Version

  • AM (Accepted Manuscript)

Rights holder

© The Authors

Publisher statement

This article has been published in a revised form in Journal of Plasma Physics https://doi.org/10.1017/S0022377821000246. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © The Authors.

Acceptance date

2021-02-11

Publication date

2021-03-31

Copyright date

2021

ISSN

0022-3778

eISSN

1469-7807

Language

  • en

Depositor

Prof Anatoly Neishtadt. Deposit date: 16 February 2021

Article number

835870201

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