Exact momentum conservation laws for the gyrokinetic VlasovPoisson equations
Abstract
The exact momentum conservation laws for the nonlinear gyrokinetic VlasovPoisson 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 canonicalmomentum equation derived by the Noether method, the gyrokinetic parallel momentum equation and other gyrokinetic Vlasovmoment equations are obtained. In addition, an exact gyrokinetic toroidal angularmomentum conservation law is derived in axisymmetric tokamak geometry, where the transport of paralleltoroidal momentum is related to the radial gyrocenter polarization, which includes contributions from the guidingcenter and gyrocenter transformations.
 Authors:

 Department of Chemistry and Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
 Centre de Physique Theorique, Campus de Luminy, Case 907, 13288 Marseille cedex 9 (France)
 Publication Date:
 OSTI Identifier:
 22043392
 Resource Type:
 Journal Article
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 18; Journal Issue: 8; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070664X
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; AXIAL SYMMETRY; BOLTZMANNVLASOV EQUATION; CONFINEMENT; CONSERVATION LAWS; PLASMA; POISSON EQUATION; POLARIZATION; TOKAMAK DEVICES; TRANSFORMATIONS
Citation Formats
Brizard, Alain J, Tronko, Natalia, and Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL. Exact momentum conservation laws for the gyrokinetic VlasovPoisson equations. United States: N. p., 2011.
Web. doi:10.1063/1.3625554.
Brizard, Alain J, Tronko, Natalia, & Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL. Exact momentum conservation laws for the gyrokinetic VlasovPoisson equations. United States. doi:10.1063/1.3625554.
Brizard, Alain J, Tronko, Natalia, and Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL. Mon .
"Exact momentum conservation laws for the gyrokinetic VlasovPoisson equations". United States. doi:10.1063/1.3625554.
@article{osti_22043392,
title = {Exact momentum conservation laws for the gyrokinetic VlasovPoisson equations},
author = {Brizard, Alain J and Tronko, Natalia and Centre for Fusion, Space and Astrophysics, Department of Physics, University of Warwick, Coventry CV4 7AL},
abstractNote = {The exact momentum conservation laws for the nonlinear gyrokinetic VlasovPoisson 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 canonicalmomentum equation derived by the Noether method, the gyrokinetic parallel momentum equation and other gyrokinetic Vlasovmoment equations are obtained. In addition, an exact gyrokinetic toroidal angularmomentum conservation law is derived in axisymmetric tokamak geometry, where the transport of paralleltoroidal momentum is related to the radial gyrocenter polarization, which includes contributions from the guidingcenter and gyrocenter transformations.},
doi = {10.1063/1.3625554},
journal = {Physics of Plasmas},
issn = {1070664X},
number = 8,
volume = 18,
place = {United States},
year = {2011},
month = {8}
}
DOI: 10.1063/1.3625554
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