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Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations

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Brizard, Alain Jean and Tronko, Natalia (2011) Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations. Physics of Plasmas, Vol.18 (No.8). 082307. doi:10.1063/1.3625554 ISSN 1070-664X.

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Official URL: http://dx.doi.org/10.1063/1.3625554

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Abstract

The exact momentum conservation laws for the nonlinear gyrokinetic Vlasov-Poisson equations are derived by applying the Noether method on the gyrokinetic variational principle [A. J. Brizard, Phys. Plasmas 7, 4816 (2000)]. From the gyrokinetic Noether canonical-momentum equation derived by the Noether method, the gyrokinetic parallel momentum equation and other gyrokinetic Vlasov-moment equations are obtained. In addition, an exact gyrokinetic toroidal angular-momentum conservation law is derived in axisymmetric tokamak geometry, where the transport of parallel-toroidal momentum is related to the radial gyrocenter polarization, which includes contributions from the guiding-center and gyrocenter transformations.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Momentum transfer, Plasma dynamics, Kinetic theory of gases, Tokamaks, Poisson's equation, Transport theory
Journal or Publication Title: Physics of Plasmas
Publisher: American Institute of Physics
ISSN: 1070-664X
Official Date: August 2011
Dates:
DateEvent
August 2011Published
Volume: Vol.18
Number: No.8
Page Range: 082307
DOI: 10.1063/1.3625554
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: United States. Dept. of Energy (DOE), Engineering and Physical Sciences Research Council (EPSRC), Centre national de la recherche scientifique (France) (CNRS), France. Agence nationale de la recherche (ANR), Association EURATOM-Commissariat à l'énergie atomique (CEA)
Grant number: DE-FG02-09ER55005 (DOE), EP/D062837 (EPSRC), EUR 344-88-1 FUA F (CEA)

Data sourced from Thomson Reuters' Web of Knowledge

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