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

Part of: Hamiltonian Methods in Plasma Physics

Published online by Cambridge University Press:  31 March 2021

Anton V. Artemyev Open the ORCID record for Anton V. Artemyev [Opens in a new window] ,
Anatoly I. Neishtadt ,
Alexei. A. Vasiliev ,
Xiao-Jia Zhang ,
Didier Mourenas  and
Dmitri Vainchtein
Anton V. Artemyev*
Affiliation:
Institute of Geophysics and Planetary Physics, UCLA, Los Angeles, CA90095, USA Space Research Institute of the Russian Academy of Sciences (IKI), 84/32 Profsoyuznaya Str., Moscow117997, Russia
Anatoly I. Neishtadt
Affiliation:
Space Research Institute of the Russian Academy of Sciences (IKI), 84/32 Profsoyuznaya Str., Moscow117997, Russia Department of Mathematical Sciences, Loughborough University, LoughboroughLE11 3TU, UK
Alexei. A. Vasiliev
Affiliation:
Space Research Institute of the Russian Academy of Sciences (IKI), 84/32 Profsoyuznaya Str., Moscow117997, Russia
Xiao-Jia Zhang
Affiliation:
Institute of Geophysics and Planetary Physics, UCLA, Los Angeles, CA90095, USA
Didier Mourenas
Affiliation:
Laboratoire Matière sous Conditions Extrêmes, Paris-Saclay University, CEA, Bruyères-le-Châtel91190, France
Dmitri Vainchtein
Affiliation:
Space Research Institute of the Russian Academy of Sciences (IKI), 84/32 Profsoyuznaya Str., Moscow117997, Russia Nyheim Plasma Institute, Drexel University, Camden, NJ08103, USA
*
†Email address for correspondence: aartemyev@igpp.ucla.edu
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Abstract

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 a map in the energy/pitch-angle space. The main advances of this approach are the possibility of considering 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.

Keywords

space plasma physicsplasma waves
Type
Research Article
Information
Journal of Plasma Physics , Volume 87 , Issue 2 , April 2021 , 835870201
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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References

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