EX11464.pdf (776.15 kB)
Probabilistic approach to nonlinear wave-particle resonant interaction
journal contribution
posted on 2017-03-13, 13:56 authored by A.V. Artemyev, Anatoly NeishtadtAnatoly Neishtadt, Alexei Vasiliev, D. MourenasIn this paper we provide a theoretical model describing the evolution of the charged particle distribution function in a system with nonlinear wave particle interactions. Considering a system with strong electrostatic waves propagating in an inhomogeneous magnetic field, we demonstrate
that individual particle motion can be characterized by the probability of trapping into the resonance with the wave and by the efficiency of scattering at resonance. These characteristics, being derived for a particular plasma system, can be used to construct a kinetic equation (or generalized Fokker-Planck equation) modelling the long-term evolution of the particle distribution. In this equation, effects of charged particle trapping and transport in phase space are simulated with a nonlocal
operator. We demonstrate that solutions of the derived kinetic equations agree with results of test particle tracing. The applicability of the proposed approach for the description of space and laboratory plasma systems is also discussed.
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
Physical Review EVolume
95Pages
? - ? (11)Citation
ARTEMYEV, A.V. ...et al., 2017. Probabilistic approach to nonlinear wave-particle resonant interaction. Physical Review E, 95:023204.Publisher
© American Physical SocietyVersion
- AM (Accepted Manuscript)
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
2017-01-19Publication date
2017-02-03Notes
This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.95.023204ISSN
2470-0053Publisher version
Language
- en