The structure of resistive-dispersive intermediate shocks

Physics

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Magnetohydrodynamic Flow, Shock Waves, Two Fluid Models, Wave Dispersion, Hodographs, Hydrodynamic Equations, Supersonic Flow

Scientific paper

The structure of resistive-dispersive intermediate shocks is investigated by performing numerical resistive nonviscous two-fluid simulations, with special attention given to the effect of the Hall current. For this purpose, the electron inertia effects are neglected, so that the generalized Ohm's law contains only the Hall current and the electron pressure terms in addition to the resistive term and the electric field. The calculations show that the main effect of Hall currents is to remove the symmetry between the left-hand and right-hand polarized shock structures found in the purely resistive case; in addition, Hall currents sometimes affect the conversion of the smooth shock transitions obtained from the resistive MHD model into transitions that incorporate oscillatory standing wave train structures at their upstream and/or downstream states of the intermediate shock. The paper includes a catalog of all allowed hodogram topologies.

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