Canonical transformation for trapped/passing guiding-center orbits in axisymmetric tokamak geometry

Journal Article · Thu May 15 00:00:00 EDT 2014 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4879811· OSTI ID:22300160

Brizard, Alain J. ^[1]; Duthoit, François-Xavier ^[2]

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1. Department of Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
2. CEA, IRFM, F-13108 Saint-Paul-lez-Durance (France)

The generating function for the canonical transformation from the parallel canonical coordinates (s,p{sub ||}) to the action-angle coordinates (ζ, J) for trapped/passing guiding-center orbits in axisymmetric tokamak geometry is presented. Drawing on the analogy between the phase-space portraits of the librating/rotating pendulum and the trapped/passing guiding-center orbits, the generating function is expressed in terms of the Jacobi zeta function, which can then readily be used to obtain an explicit expression for the bounce-center transformation for trapped/passing-particle guiding-center orbits in axisymmetric tokamak geometry.

• OSTI ID: 22300160
• Journal Information: Physics of Plasmas, Vol. 21, Issue 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AXIAL SYMMETRY
CANONICAL DIMENSION
CANONICAL TRANSFORMATIONS
GEOMETRY
MECHANICAL VIBRATIONS
ORBITS
PHASE SPACE
TIME MEASUREMENT
TOKAMAK DEVICES
TRAPPING