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Title: Lagrangian and Hamiltonian constraints for guiding-center Hamiltonian theories

A consistent guiding-center Hamiltonian theory is derived by Lie-transform perturbation method, with terms up to second order in magnetic-field nonuniformity. Consistency is demonstrated by showing that the guiding-center transformation presented here satisfies separate Jacobian and Lagrangian constraints that have not been explored before. A new first-order term appearing in the guiding-center phase-space Lagrangian is identified through a calculation of the guiding-center polarization. It is shown that this new polarization term also yields a simpler expression of the guiding-center toroidal canonical momentum, which satisfies an exact conservation law in axisymmetric magnetic geometries. Finally, an application of the guiding-center Lagrangian constraint on the guiding-center Hamiltonian yields a natural interpretation for its higher-order corrections.
Authors:
 [1] ;  [2]
  1. Max-Planck-Institut für Plasmaphysik, 85748 Garching (Germany)
  2. Department of Physics, Saint Michael's College, Colchester, Vermont 05439 (United States)
Publication Date:
OSTI Identifier:
22489841
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 11; Other Information: (c) 2015 EURATOM; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AXIAL SYMMETRY; CORRECTIONS; HAMILTONIANS; JACOBIAN FUNCTION; LAGRANGIAN FUNCTION; LIMITING VALUES; MAGNETIC FIELDS; PERTURBATION THEORY; PHASE SPACE; POLARIZATION