Cross Field Convection of Plasma in a Partially Ionized Gas

The $\mathrm{E\hspace{0.17em}\times \hspace{0.17em}B}$ instability generates a drift wave in a partially ionized gas which causes plasma transport across the magnetic field. It is believed to be important in reflex arcs and in the ionosphere. A non‐linear model of the transport is given in the limit of collisionless electrons. A solution is found which demonstrates that the transport in the model is convective in nature with characteristics similar to results obtained in a reflex arc.