NONLINEAR GYROKINETIC VLASOV EQUATION FOR TOROIDALLY ROTATING AXISYMMETRICAL TOKAMAKS

被引:107
作者
BRIZARD, AJ
机构
[1] Department of Nuclear Engineering, University of California, Berkeley
关键词
D O I
10.1063/1.871465
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 nonlinear gyrokinetic Vlasov equation is derived for an arbitrary magnetized plasma in a local reference frame moving with the nonuniform equilibrium fluid velocity u(r). The derivation of the guiding-center and gyrocenter Hamilton equations, which appear as the characteristics of the gyrokinetic Vlasov equation, is based on the use of Lie-transform perturbation techniques. Although a general form for u is initially used, attention is later focused on an incompressible toroidal equilibrium flow when considering axisymmetric tokamak geometry. © 1995 American Institute of Physics.
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页码:459 / 471
页数:13
相关论文
共 37 条
[31]   EFFECTS OF A NONUNIFORM EQUILIBRIUM ELECTRIC-FIELD ON ION TEMPERATURE-GRADIENT INSTABILITIES [J].
MIGLIUOLO, S ;
SEN, AK .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1990, 2 (12) :3047-3051
[32]  
NORTHROP TG, 1963, ADIABATIC MOTION CHA, pCH1
[33]   ELECTRIC-FIELD EFFECTS ON ION TEMPERATURE-GRADIENT MODES IN A SHEARED SLAB [J].
STAEBLER, GM ;
DOMINGUEZ, RR .
NUCLEAR FUSION, 1991, 31 (10) :1891-1898
[34]   MAGNETIC MOMENT UNDER SHORT-WAVE ELECTROSTATIC PERTURBATIONS [J].
TAYLOR, JB .
PHYSICS OF FLUIDS, 1967, 10 (06) :1357-&
[35]   MULTISPECIES TRANSPORT-THEORY FOR AXISYMMETRICAL ROTATING PLASMAS [J].
TESSAROTTO, M ;
WHITE, RB .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1992, 4 (04) :859-871
[36]   BALLOONING INSTABILITIES IN TOKAMAKS WITH SHEARED TOROIDAL FLOWS [J].
WAELBROECK, FL ;
CHEN, L .
PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1991, 3 (03) :601-610
[37]   HAMILTONIAN GUIDING CENTER DRIFT ORBIT CALCULATION FOR PLASMAS OF ARBITRARY CROSS-SECTION [J].
WHITE, RB ;
CHANCE, MS .
PHYSICS OF FLUIDS, 1984, 27 (10) :2455-2467