Equilibrium of non‐neutral plasma in toroidal geometry with applied electric field

Abstract
The equilibrium and stability of non‐neutral plasma in toroidal geometry with applied electric field is studied. The calculations are done in a large aspect ratio, thin ring approximation, using a circuit model. Toroidal corrections to the l=1 (l is the poloidal mode number) mode are obtained. These corrections reduce the l=1 cylindrical diocotron frequency. It is shown that under certain conditions, the external electric field can stabilize dissipative l=1 diocotron oscillations.