Plasma Relaxation in Hall Magnetohydrodynamics

Conference paper
Part of the Astrophysics and Space Science Proceedings book series (ASSSP, volume 33)

Abstract

Parker’s formulation of isotopological plasma relaxation process in magnetohydrodynamics (MHD) is extended to Hall MHD. The torsion coefficient α 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 β 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.

Keywords

Potential Vorticity Magnetic Field Line Whistler Wave Magnetic Reconnection Process Fast Magnetic Reconnection 
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Notes

Acknowledgements

This work was a result of my participation at the International Astrophysics Forum, Alpbach, 2011. I am thankful to Professor Eugene Parker for helpful suggestions and giving me access to Ref. [7] prior to publication and Professors Manfred Leubner and Zoltán Vörös for their hospitality.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.University of Central FloridaOrlandoUSA

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