Fully Electromagnetic Nonlinear Gyrokinetic Equations for Tokamak Edge Turbulence

Hahm, T. S.¹  Wang, Lu¹  Madsen, J.¹ 

[1]Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

关键词: AMPLITUDES;    BOLTZMANN-VLASOV EQUATION;    CHARGE DENSITY;    CONSERVATION LAWS;    DISTRIBUTION FUNCTIONS;    ELECTRIC FIELDS;    ELECTROSTATICS;    FLUCTUATIONS;    LARMOR RADIUS;    PHASE SPACE;    PRESERVATION;    PRESSURE GRADIENTS;    SHEAR;    TRANSFORMATIONS;    TURBULENCE Gyrokinetic Equations;    H-mode Plasma Confinement;    Turbulence;   

DOI  :  10.2172/938981
RP-ID  :  PPPL---4344
PID  :  OSTI ID: 938981
Others  :  TRN: US0806218

学科分类：原子、分子光学和等离子物理

美国|英语

来源: SciTech Connect

【 摘 要 】

An energy conserving set of the fully electromagnetic nonlinear gyrokinetic Vlasov equation and Maxwell's equations, which is applicable to both L-mode turbulence with large amplitude and H-mode turbulence in the presence of high E Χ B shear has been derived. The phase-space action variational Lie perturbation method ensures the preservation of the conservation laws of the underlying Vlasov-Maxwell system. Our generalized ordering takes ρ_i<< ρ_θ¡ ~ L_E ~ L_p << R (here ρ_i is the thermal ion Larmor radius and ρ_θ¡ = B/B_θ] ρ_i), as typically observed in the tokamak H-mode edge, with LE and Lp being the radial electric field and pressure gradient lengths. We take κ perpendicular to ρ_i ~ 1 for generality, and keep the relative fluctuation amplitudes eδφ /Τ_i ~ δΒ / Β up to the second order. Extending the electrostatic theory in the presence of high E Χ B shear [Hahm, Phys. Plasmas 3, 4658 (1996)], contributions of electromagnetic fluctuations to the particle charge density and current are explicitly evaluated via pull-back transformation from the gyrocenter distribution function in the gyrokinetic Maxwell's equation.