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Kinetic equation for nonlinear resonant wave-particle interaction
journal contribution
posted on 2016-09-29, 09:44 authored by A.V. Artemyev, Anatoly NeishtadtAnatoly Neishtadt, Alexei Vasiliev, D. MourenasWe investigate nonlinear resonant wave-particle interactions including effects of particle (phase) trapping,
detrapping, and scattering by high-amplitude coherent waves. After deriving the relation between probability of trapping and velocity of particle drift induced by nonlinear scattering (phase bunching), we substitute this relation and other characteristic equations of wave-particle interaction into a kinetic equation for the particle
distribution function. The final equation has the form of a Fokker-Planck equation with peculiar advection and collision terms. This equation fully describes the evolution of particle momentum distribution due to
particle diffusion, nonlinear drift, and fast transport in phase-space via trapping. Solutions of the obtained kinetic equation are compared with results of test particle simulations.
Funding
The work of A.V.A., A.A.V., and A.I.N was supported by the Russian Scientific Fund, project 14-12-00824.
History
School
- Science
Department
- Mathematical Sciences
Published in
Physics of PlasmasVolume
23Citation
ARTEMYEV, A.V. ...et al., 2016. Kinetic equation for nonlinear resonant wave-particle interaction. Physics of Plasmas, 23, 090701.Publisher
© The Authors. Published by AIP PublishingVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2016-08-29Publication date
2016Notes
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Physics of Plasmas, 23, 090701 and may be found at http://dx.doi.org/10.1063/1.4962526.ISSN
1089-7674Publisher version
Language
- en