Abstract
The formation of a rotating instability associated with an ionization front (``rotating spoke'') and driven by a cross-field current in a cylindrical magnetized plasma is shown and explained for the first time on the basis of a fully kinetic simulation. The rotating spoke is a strong double layer (electrostatic sheath) moving towards the higher potential region at a velocity close to the critical ionization velocity, a concept proposed by Alfv\'en in the context of the formation of the solar system. The mechanisms of cross-field electron transport induced by this instability are analyzed.

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