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

@article{Artemyev2021LongtermDD,
  title={Long-term dynamics driven by resonant wave–particle interactions: from Hamiltonian resonance theory to phase space mapping},
  author={Anton V. Artemyev and Anatoly I. Neishtadt and Alexei Vasiliev and Xiao‐jia Zhang and Didier Mourenas and Dmitri L. Vainchtein},
  journal={Journal of Plasma Physics},
  year={2021},
  volume={87}
}
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… 

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