Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/24397

Title: Probabilistic approach to nonlinear wave-particle resonant interaction
Authors: Artemyev, A.V.
Neishtadt, Anatoly
Vasiliev, Alexei
Mourenas, D.
Issue Date: 2017
Publisher: © American Physical Society
Citation: ARTEMYEV, A.V. ...et al., 2017. Probabilistic approach to nonlinear wave-particle resonant interaction. Physical Review E, 95:023204.
Abstract: In 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.
Description: 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.95.023204
Sponsor: The work of A.V.A., A.A.V., and A.I.N was supported by the Russian Scientific Fund, project # 14-12-00824.
Version: Accepted for publication
DOI: 10.1103/PhysRevE.95.023204
URI: https://dspace.lboro.ac.uk/2134/24397
Publisher Link: https://doi.org/10.1103/PhysRevE.95.023204
ISSN: 2470-0053
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
EX11464.pdfAccepted version776.15 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.