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Title: The physics of the second-order gyrokinetic magnetohydrodynamic Hamiltonian: μ conservation, Galilean invariance, and ponderomotive potential

Some physical interpretations are given of the well-known second-order gyrokinetic Hamiltonian in the magnetohydrodynamic limit. Its relations to the conservation of the true (Galilean-invariant) magnetic moment and fluid nonlinearities are described. Subtleties about its derivation as a cold-ion limit are explained; it is important to take that limit in the frame moving with the E×B velocity. The discussion also provides some geometric understanding of certain well-known Lie generating functions, and it makes contact with general discussions of ponderomotive potentials and the thermodynamics of dielectric media.
Authors:
 [1]
  1. Plasma Physics Laboratory, Princeton University, MS 28, P.O. Box 451, Princeton, New Jersey 08543–0451 (United States)
Publication Date:
OSTI Identifier:
22218393
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 36 MATERIALS SCIENCE; CONSERVATION LAWS; DIELECTRIC MATERIALS; DIELECTRIC PROPERTIES; FLUIDS; HAMILTONIANS; IONS; MAGNETIC MOMENTS; MAGNETOHYDRODYNAMICS; NONLINEAR PROBLEMS; PLASMA; PONDEROMOTIVE FORCE; POTENTIALS; THERMODYNAMICS