TITLE

Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations

AUTHOR(S)
Brizard, Alain J.; Tronko, Natalia
PUB. DATE
August 2011
SOURCE
Physics of Plasmas;Aug2011, Vol. 18 Issue 8, p082307
SOURCE TYPE
DOC. TYPE
Article
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.
ACCESSION #
65108121

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