On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field : formal derivation.
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Published version
Author(s)
Degond, PAA
Filbet, F
Type
Journal Article
Abstract
In this paper we establish the asymptotic limit of the three dimensional Vlasov–Poisson
equation with strong external magnetic field. The guiding center approximation is investigated in
the three dimensional case with a non-constant magnetic field. In the long time asymptotic limit,
the motion can be split in two parts : one stationary flow along the lines of the magnetic field
and the guiding center motion in the orthogonal plane of the magnetic field where classical drift
velocities and invariants (magnetic moment) are recovered.
equation with strong external magnetic field. The guiding center approximation is investigated in
the three dimensional case with a non-constant magnetic field. In the long time asymptotic limit,
the motion can be split in two parts : one stationary flow along the lines of the magnetic field
and the guiding center motion in the orthogonal plane of the magnetic field where classical drift
velocities and invariants (magnetic moment) are recovered.
Date Issued
2016-11-01
Date Acceptance
2016-10-17
Citation
Journal of Statistical Physics, 2016, 165 (4), pp.765-784
ISSN
0022-4715
Publisher
Springer Verlag (Germany)
Start Page
765
End Page
784
Journal / Book Title
Journal of Statistical Physics
Volume
165
Issue
4
Copyright Statement
© The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Sponsor
The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Grant Number
WM130048
EP/M006883/1
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
Vlasov-Poisson system
Guiding-centre model
Asymptotic expansion
GRADIENT-DRIVEN TURBULENCE
LARMOR RADIUS APPROXIMATION
TOKAMAK TURBULENCE
SIMULATIONS
EQUATION
PLASMAS
TRANSPORT
MODELS
FLOWS
DRIFT
Fluids & Plasmas
01 Mathematical Sciences
02 Physical Sciences
Publication Status
Published