Linear gyrokinetic theory and computation of the gyrocenter motion based on the exact canonical variables for axisymmetric tokamaks

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3578366· OSTI ID:21537648

Yingfeng, Xu; Shaojie, Wang ^[1]; Xiaotao, Xiao ^[2]

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1. Department of Modern Physics, University of Science and Technology of China, Hefei 230026 (China)
2. Center for Magnetic Fusion Theory, Chinese Academy of Science, Hefei 230031 (China)

Linear gyrokinetic theory based on the Lie-transform perturbation method is presented in terms of the exact canonical variables. In the linear drift approximation, it is shown that the gyrocenter equations of motion based on the canonical variables are equivalent to the usual guiding-center equations of motion. A numerical code is developed to advance the gyrocenter motion in terms of the exact canonical variables with arbitrary perturbations. It is found that a static magnetic island in a tokamak has little effect on the trapped particle orbits due to the conservation of the longitudinal invariant; and it induces the island structure of passing particle orbits due to the fact that the longitudinal invariant for the passing particles is broken by the asymmetric perturbation.

• OSTI ID: 21537648
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 18; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CLOSED PLASMA DEVICES
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC ISLANDS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PLASMA SIMULATION
SIMULATION
THERMONUCLEAR DEVICES
TOKAMAK DEVICES