Tendency of a rotating electron plasma to approach the Brillouin limit

A neutral plasma is considered to be immersed in an axial magnetic field together with a radial electric field. If the electrons are magnetized, but the ions are not magnetized, then the electrons will rotate but the ions will not rotate, leading to current generation. The currents, in turn, weaken the axial magnetic field, leading to an increase in the rotation frequency of the slow Brillouin mode. This produces a positive feedback effect, further weakening the magnetic field. The operating point thus tends to drift towards the Brillouin limit, possibly finding stability only in proximity to the limit itself. An example of this effect might be the cylindrical Hall thruster configuration.