Fully Electromagnetic Nonlinear Gyrokinetic Equations for Tokamak Edge Turbulence

Hahm, T.S. ; Wang, Lu, ; Madsen, J.

Princeton University. Plasma Physics Laboratory.

关键词: Phase Space;    Amplitudes;    Electrostatics;    Boltzmann-Vlasov Equation;    70 Plasma Physics And Fusion Technology;   

DOI  :  10.2172/938981
RP-ID  :  PPPL-4344
RP-ID  :  DE-ACO2-76CHO3073
RP-ID  :  938981

美国|英语

来源: UNT Digital Library

【 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[sub ]i [\sub]<< ρϑ¡ ~ LE ~ Lp << R (here ρ[sub ]i [\sub] is the thermal ion Larmor radius and ρϑ¡ = [B over Bϑ] ρ[sub ]i [\sub]), 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[sub ] perpendicular to[/sub] ρ[sub ]i [\sub] ~ 1 for generality, and keep the relative fluctuation amplitudes eδφ ⁄ Τ[sub ]i [\sub]~ 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.