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Trapping (capture) into resonance and scattering on resonance: Summary of results for space plasma systems
Journal article   Open access   Peer reviewed

Trapping (capture) into resonance and scattering on resonance: Summary of results for space plasma systems

A.V. Artemyev, A.I. Neishtadt, D.L. Vainchtein, A.A. Vasiliev, I.Y. Vasko and L.M. Zelenyi
Communications in nonlinear science & numerical simulation, v 65, pp 111-160
Dec 2018
url
https://doi.org/10.1016/j.cnsns.2018.05.004View
Published, Version of Record (VoR)CC BY-NC-ND V4.0 Open

Abstract

Adiabatic invariant Charged particle acceleration and transport Nonlinear waves Probability of trapping Wave-particle resonant interaction
•We reviewed the resonant wave-particle interaction in various Sapace Plasma systems.•We presented a general theory of trapping (capture) into resoance and scattering on resonance of charged particles by electrostatic or electromagnetic waves in the presence of a background magnetic field. In the present review we survey space plasma systems where the nonlinear resonant interaction between charged particles and electromagnetic waves plays an important role. We focus on particle acceleration by strong electromagnetic waves. We start with presenting a general description of nonlinear resonant interaction based on the theory of slow-fast Hamiltonian systems with resonances. Then we turn to several manifestations of the resonance effects in various space plasma systems. We describe a universal approach for evaluating main characteristics of the resonant particle dynamics: probability of trapping into resonance, energy change due to scattering and trapping. Then we demonstrate how effects of nonlinear resonant trapping and scattering can be combined in a generalized kinetic equation. We also discuss the stability of trapped motion and evolution of particle ensemble in systems with trapping. The main objective of this review is to provide a general approach for characterizing plasma systems with nonlinear resonant interactions.

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Collaboration types
Domestic collaboration
International collaboration
Web of Science research areas
Mathematics, Applied
Mathematics, Interdisciplinary Applications
Mechanics
Physics, Fluids & Plasmas
Physics, Mathematical
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