Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations

被引：41

作者：

Brizard, Alain J. ^{[1
]}

Tronko, Natalia ^{[2
,3
]}

机构：

[1] St Michaels Coll, Dept Chem & Phys, Colchester, VT 05439 USA

[2] Ctr Phys Theor, F-13288 Marseille 9, France

[3] Univ Warwick, Dept Phys, Ctr Fus Space & Astrophys, Coventry CV4 7AL, W Midlands, England

来源：

PHYSICS OF PLASMAS | 2011年 / 18卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

plasma kinetic theory; plasma nonlinear processes; plasma toroidal confinement; plasma transport processes; Poisson equation; Tokamak devices; Vlasov equation; GUIDING-CENTER; VARIATIONAL PRINCIPLE; ANGULAR-MOMENTUM; MAXWELL-VLASOV; ENERGY;

D O I：

10.1063/1.3625554

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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. (C) 2011 American Institute of Physics. [doi:10.1063/1.3625554]

引用

页数：14

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