Fully Electromagnetic Nonlinear Gyrokinetic Equations for Tokamak Edge Turbulence

Technical Report · Fri Aug 01 00:00:00 EDT 2008

DOI:https://doi.org/10.2172/938981· OSTI ID:938981

Hahm, T. S. ^[1]; Wang, Lu ^[1]; Madsen, J. ^[1]

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

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.

• Research Organization: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: ACO2-76CHO3073
• OSTI ID: 938981
• Report Number(s): PPPL-4344; TRN: US0806218
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
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