Hall magnetohydrodynamics near an X-type magnetic neutral lineB. K. Shivamoggi
Los Alamos National Laboratory - Los Alamos, NM 87545, USA
received 26 August 2008; accepted in final form 10 December 2008; published January 2009
published online 21 January 2009
Hall magnetohydrodynamics (MHD) near a two-dimensional (2D) X-type magnetic neutral line is considered. The Hall effects are shown to be able to sustain the hyperbolicity of the magnetic field (and hence a more open X-point configuration) near the neutral line in the steady state. This result is predicated on considering the steady Hall MHD state as the temporal asymptotic limit of the corresponding time-dependent problem. For the time-dependent Hall MHD problem, the Hall effects are shown to have a negligible impact on the current-sheet formation process near the X-type magnetic neutral line at short times but, subsequently, to quench the finite-time singularity exhibited in ideal MHD and, hence to prevent the plasma collapse, in consistency with the sustenance of the hyperbolicity of the magnetic field in the corresponding steady problem.
52.35.Vd - Magnetic reconnection.
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