An Electric Shock Model for Experiments on Critical Ionization Velocity

To describe the generation of the electric field by a discontinuity of the Hall current, an equation of the third order was obtained by using the electric charge conservation and Ohm's laws. Solutions to this equation are used to model the electric impulses detected in experiments aimed to verify the Alfven hypothesis on the critical ionization velocity in the process of the collision of neutral gas with magnetized plasma. A quantitative agreement with the experiment was attained, and the basic features of the measured signals were modeled under an assumption of strong anomalous resistance behind the discontinuity. Apparently, such an anomalous resistance occurs due to trapping of the current carriers by a small-scale modulation of the electric field.