Relativistic Hamiltonian guiding center drift formalism in anisotropic pressure magnetic coordinates

Journal Article · Fri Sep 15 00:00:00 EDT 2006 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2339025· OSTI ID:20860242

Cooper, W A; Graves, J P; Jucker, M; Isaev, M Yu ^[1]

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1. Ecole Polytechnique Federale de Lausanne, Centre de Recherches en Physique des Plasmas, Association Euratom-Suisse, CH1015 Lausanne (Switzerland)

A Hamiltonian formulation of the relativistic guiding center drifts is extended to anisotropic pressure plasmas. The magnetic coordinates devised by Boozer are adapted to the anisotropic pressure model and retain canonical properties for two-dimensional and three-dimensional toroidal plasma equilibria including finite electrostatic perturbations provided that any electromagnetic perturbation only alters the parallel component of the vector potential. A mapping technique from arbitrary flux coordinates is outlined. A direct evaluation of the relativistic drift velocity recovers the equations of motion derived from the Hamiltonian formalism except for ignorable higher order terms in the evolution of the canonical angular variables and the effective parallel gyroradius.

• OSTI ID: 20860242
• Journal Information: Physics of Plasmas, Vol. 13, Issue 9; Other Information: DOI: 10.1063/1.2339025; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANISOTROPY
COORDINATES
DISTURBANCES
EQUATIONS OF MOTION
EVOLUTION
HAMILTONIANS
PLASMA CONFINEMENT
PLASMA PRESSURE
PLASMA WAVES
POTENTIALS
RADIATION TRANSPORT
RELATIVISTIC PLASMA
RELATIVISTIC RANGE
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
VECTORS