Nonlinear Gyrokinetic Theory With Polarization Drift

Technical Report · Thu Mar 25 00:00:00 EDT 2010

DOI:https://doi.org/10.2172/981658· OSTI ID:981658

L. Wang and T.S. Hahm

A set of the electrostatic toroidal gyrokinetic Vlasov equation and the Poisson equation, which explicitly includes the polarization drift, is derived systematically by using Lie-transform method. The polarization drift is introduced in the gyrocenter equations of motion, and the corresponding polarization density is derived. Contrary to the wide-spread expectation, the inclusion of the polarization drift in the gyrocenter equations of motion does not affect the expression for the polarization density significantly. This is due to modification of the gyrocenter phase-space volume caused by the electrostatic potential [T. S. Hahm, Phys. Plasmas 3, 4658 (1996)] .

• Research Organization: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-ACO2-09CH11466
• OSTI ID: 981658
• Report Number(s): PPPL-4507; TRN: US1003882
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN-VLASOV EQUATION
ELECTROSTATICS
EQUATIONS OF MOTION
MODIFICATIONS
PHASE SPACE
POISSON EQUATION
POLARIZATION
Polarization
Turbulence
Gyrokinetic Equations