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Kinetic equation for nonlinear resonant wave-particle interaction

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journal contribution
posted on 29.09.2016, 09:44 by A.V. Artemyev, Anatoly Neishtadt, Alexei Vasiliev, D. Mourenas
We 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 Plasmas

Volume

23

Citation

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 Publishing

Version

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

29/08/2016

Publication date

2016

Notes

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

1089-7674

Language

en

Exports

Loughborough Publications

Keywords

Exports