The exact and drift Hamiltonian
- Department of Physics, College of William and Mary, Williamsburg, Virginia 23185 (United States)
- Department of Physics, College of William and Mary, Williamsburg, Virginia 23185 (United States) Max-Planck-Institut fuer Plasmaphysik, D-8046 Garching bei Muenchen (Germany)
A canonical Hamiltonian treatment for the motion of the guiding center of a charged particle in a magnetic field of a toroidal configuration is given. The Hamiltonian of the exact trajectory, first- and second-order corrections to the standard drift Hamiltonian are given in the Boozer coordinates for a vacuum magnetic field with magnetic surfaces. The exact Hamiltonian depends on both the field strength and the shape of the magnetic surfaces (the metric of the magnetic coordinates) while the standard drift Hamiltonian depends only on the field strength. The first-order correction, in gyroradius to system size, to the standard drift Hamiltonian depends in a generic way on the metric of the magnetic coordinates, as does the exact Hamiltonian.
- DOE Contract Number:
- FG05-84ER53176
- OSTI ID:
- 7285378
- Journal Information:
- Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 4:8; ISSN 0899-8221; ISSN PFBPE
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700310* -- Plasma Confinement-- (1992-)
700340 -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
ALPHA PARTICLES
CHARGED PARTICLES
COORDINATES
FUNCTIONS
GUIDING-CENTER APPROXIMATION
HAMILTONIAN FUNCTION
METRICS
PLASMA DRIFT
SYMMETRY BREAKING
TRAJECTORIES