Plasma relaxation and topological aspects in Hall magnetohydrodynamics

Journal Article · Sun Jul 15 00:00:00 EDT 2012 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4737093· OSTI ID:22072543

Shivamoggi, B K ^[1]

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1. University of Central Florida, Orlando, Florida 32816-1364 (United States)

Parker's formulation of isotopological plasma relaxation process in magnetohydrodynamics (MHD) is extended to Hall MHD. The torsion coefficient {alpha} in the Hall MHD Beltrami condition turns out now to be proportional to the potential vorticity. The Hall MHD Beltrami condition becomes equivalent to the potential vorticity conservation equation in two-dimensional (2D) hydrodynamics if the Hall MHD Lagrange multiplier {beta} is taken to be proportional to the potential vorticity as well. The winding pattern of the magnetic field lines in Hall MHD then appears to evolve in the same way as potential vorticity lines in 2D hydrodynamics.

• OSTI ID: 22072543
• Journal Information: Physics of Plasmas, Vol. 19, Issue 7; Other Information: (c) 2012 American Institute of Physics; 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
CONSERVATION LAWS
HALL EFFECT
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
PLASMA
RELAXATION
TOPOLOGY
TORSION
TWO-DIMENSIONAL CALCULATIONS
VORTICES