Nonlinear gyrokinetic theory with polarization drift

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3467498· OSTI ID:21432813

Lu, Wang ^[1]; Hahm, T S ^[2]

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1. School of Physics and State Key Lab of Nuclear Physics and Technology, Peking University, Beijing 100871 (China)
2. Princeton Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, New Jersey 08543 (United States)

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 perturbation method. The polarization drift is introduced in the gyrocenter equations of motion, and the corresponding polarization density is derived. Contrary to the widespread 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)].

• OSTI ID: 21432813
• Journal Information: Physics of Plasmas, Vol. 17, Issue 8; Other Information: DOI: 10.1063/1.3467498; (c) 2010 American Institute of Physics; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN-VLASOV EQUATION
DENSITY
EQUATIONS OF MOTION
NONLINEAR PROBLEMS
PHASE SPACE
POISSON EQUATION
POLARIZATION
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
SPACE