Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations

Journal Article · Mon Aug 15 04:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3625554· OSTI ID:22043392

Brizard, Alain J ^[1]; Tronko, Natalia ^[2]

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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)

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.

• OSTI ID: 22043392
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 18; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
AXIAL SYMMETRY
BOLTZMANN-VLASOV EQUATION
CONFINEMENT
CONSERVATION LAWS
PLASMA
POISSON EQUATION
POLARIZATION
TOKAMAK DEVICES
TRANSFORMATIONS