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

Journal Article · Sun Dec 15 00:00:00 EST 2013 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4851996· OSTI ID:22218393

Krommes, J. A. ^[1]

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1. Plasma Physics Laboratory, Princeton University, MS 28, P.O. Box 451, Princeton, New Jersey 08543–0451 (United States)

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.

• OSTI ID: 22218393
• Journal Information: Physics of Plasmas, Vol. 20, Issue 12; Other Information: (c) 2013 AIP Publishing LLC; 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
36 MATERIALS SCIENCE
CONSERVATION LAWS
DIELECTRIC MATERIALS
DIELECTRIC PROPERTIES
FLUIDS
HAMILTONIANS
IONS
MAGNETIC MOMENTS
MAGNETOHYDRODYNAMICS
NONLINEAR PROBLEMS
PLASMA
PONDEROMOTIVE FORCE
POTENTIALS
THERMODYNAMICS