Generalized Expression for Polarization Density

Lu Wang and T.S. Hahm

关键词: DENSITY;    DISTURBANCES;    IONS;    LAGRANGIAN FUNCTION;    PARTICLES;    PHASE SPACE;    POLARIZATION;    RANGE;    WAVELENGTHS Finite Larmor Effects;    Gyrokinetic Equasions Trapped-particle instability;   

DOI  :  10.2172/953208
RP-ID  :  PPPL_4402
PID  :  OSTI ID: 953208
Others  :  TRN: US1000857

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 】

A general polarization density which consists of classical and neoclassical parts is system-atically derived via modern gyrokinetics and bounce-kinetics by employing a phase-space Lagrangian Lie-transform perturbation method. The origins of polarization density are further elucidated. Extending the work on neoclassical polarization for long wavelength compared to ion banana width [M. N. Rosenbluth and F. L. Hinton, Phys. Rev. Lett. 80, 724 (1998)], an analytical formula for the generalized neoclassical polarization including both finite-banana-width (FBW) and finite-Larmor-radius (FLR) effects for arbitrary radial wavelength in comparison to banana width and gyroradius is derived. In additional to the contribution from trapped particles, the contribution of passing particles to the neoclassical polarization is also explicitly calculated. Our analytic expression agrees very well with the previous numerical results for a wide range of radial wavelength.