On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field : formal derivation.

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Title: On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field : formal derivation.
Authors: Degond, PAA
Filbet, F
Item 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.
Issue Date: 1-Nov-2016
Date of Acceptance: 17-Oct-2016
URI: http://hdl.handle.net/10044/1/41704
DOI: https://dx.doi.org/10.1007/s10955-016-1645-2
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/Funder: The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: WM130048
EP/M006883/1
Keywords: 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
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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