Plasma Relaxation in Hall Magnetohydrodynamics

Details Plasma Relaxation in Hall Magnetohydrodynamics Plasma Relaxation in Hall Magnetohydrodynamics

2011-12-16

arxiv.org/abs/1112.3953v1

Physics

Plasma Physics

Scientific paper

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 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.

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