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Download fileLong-term dynamics driven by resonant wave-particle interactions: from Hamiltonian resonance theory to phase space mapping
journal contribution
posted on 2021-02-17, 09:52 authored by Anton Artemyev, Anatoly NeishtadtAnatoly Neishtadt, Alexey Vasiliev, Xiao-Jia Zhang, Didier Mourenas, Dmitri VainchteinIn 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 PhysicsVolume
87Issue
2Publisher
Cambridge University Press (CUP)Version
- AM (Accepted Manuscript)
Rights holder
© The AuthorsPublisher 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
2021-02-11Publication date
2021-03-31Copyright date
2021ISSN
0022-3778eISSN
1469-7807Publisher version
Language
- en