Generalized Expression for Polarization Density

Hahm, Lu Wang and T.S.

Princeton University. Plasma Physics Laboratory.

关键词: Ions;    Disturbances;    Polarization;    70 Plasma Physics And Fusion Technology;    Lagrangian Function;   

DOI  :  10.2172/953208
RP-ID  :  PPPL_4402
RP-ID  :  DE-ACO2-09CH11466
RP-ID  :  953208

美国|英语

来源: UNT Digital Library

【 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.