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Title: Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations

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.

Authors:
 [1];  [2]
  1. Department of Chemistry and Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
  2. 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 1070-664X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; AXIAL SYMMETRY; BOLTZMANN-VLASOV 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 Vlasov-Poisson 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 Vlasov-Poisson 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 Vlasov-Poisson equations". United States. doi:10.1063/1.3625554.
@article{osti_22043392,
title = {Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson 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 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.},
doi = {10.1063/1.3625554},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 8,
volume = 18,
place = {United States},
year = {2011},
month = {8}
}