A note on a Hamiltonian formulation of force-free toroidal magnetic fields

Journal Article · Wed Jul 01 00:00:00 EDT 1992 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860010· OSTI ID:7034344

Abraham-Shrauner, B ^[1]; Lewis, H R ^[2]

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1. Department of Electrical Engineering, Washington University, St. Louis, Missouri 63130 (United States)
2. Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Recently, a formalism was presented for representing magnetic fields with toroidal topology in terms of field-line invariants (Phys. Fluids B {bold 2}, 2551 (1990)). The representation of a field with a nonvanishing toroidal component depends on a transformation from toroidal coordinates to a set of variables consisting of a poloidal angle function, a toroidal flux function, and a toroidal angle function. A restricted class of such transformations was considered for vacuum fields. Here it is shown that this class of transformations for a vacuum or force-free field always requires that the field be axisymmetric.

• OSTI ID: 7034344
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 4:7; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700310* -- Plasma Confinement-- (1992-)
ANNULAR SPACE
AXIAL SYMMETRY
CLOSED CONFIGURATIONS
CONFIGURATION
COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
FORCE-FREE MAGNETIC FIELDS
FUNCTIONS
GRAD-SHAFRANOV EQUATION
HAMILTONIAN FUNCTION
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC FIELDS
MATHEMATICS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
SYMMETRY
TOPOLOGY
TOROIDAL CONFIGURATION
TRANSFORMATIONS