Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations

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 Noeth...

Full description

Saved in:
Bibliographic Details
Published in:Physics of plasmas 2011-08, Vol.18 (8), p.082307-082307-14
Main Authors: Brizard, Alain J., Tronko, Natalia
Format: Article
Language:English
Subjects:
ANGULAR MOMENTUM
AXIAL SYMMETRY
BOLTZMANN-VLASOV EQUATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONFINEMENT
CONSERVATION LAWS
PLASMA
POISSON EQUATION
POLARIZATION
TOKAMAK DEVICES
TRANSFORMATIONS
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.3625554