Fully Electromagnetic Nonlinear Gyrokinetic Equations for Tokamak Edge Turbulence

[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 Îş 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.

[发布日期] 2008-08-01

[学科分类] 原子、分子光学和等离子物理

[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