Generalized Expression for Polarization Density

Technical Report · Thu Apr 23 04:00:00 EDT 2009

DOI:https://doi.org/10.2172/953208· OSTI ID:953208

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.

• Research Organization: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ
• Sponsoring Organization: USDOE Office of Science (SC)
• OSTI ID: 953208
• Report Number(s): PPPL_4402
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DENSITY
DISTURBANCES
Finite Larmor Effects
Gyrokinetic Equasions Trapped-particle instability
IONS
LAGRANGIAN FUNCTION
PARTICLES
PHASE SPACE
POLARIZATION
RANGE
WAVELENGTHS