Minimum energy states of the plasma pinch in standard and Hall magnetohydrodynamics

Details Minimum energy states of the plasma pinch in standard and Hall magnetohydrodynamics Minimum energy states of the plasma pinch in standard and Hall magnetohydrodynamics

2010-08-14

arxiv.org/abs/1008.2415v1

Physics

Plasma Physics

Scientific paper

Axisymmetric relaxed states of a cylindrical plasma column are found analytically in both standard and Hall magnetohydrodynamics (MHD) by complete minimization of energy with constraints imposed by invariants inherent in corresponding models. It is shown that the relaxed state in Hall MHD is the force-free magnetic field with uniform axial flow and/or rigid azimuthal rotation. The relaxed states in standard MHD are more complex due to the coupling between velocity and magnetic field. Application of these states for reversed-field pinches (RFP) is discussed.

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