Published online by Cambridge University Press: 13 March 2009
An equilibrium state of a magnetized non-neutral plasma confined in a smooth cylindrically symmetric container is obtained. The particle number of each species is fixed, and total energy and total canonical angular momentum are conserved in the system. Moreover, the most probable state satisfies the stationary Vlasov equation exactly. The key finding from this result is that the E × B drift velocity can be significantly different from the true fluid velocity, which always corresponds here to a rigid rotation. It is suggested that this difference may also be experimentally important in situations that are not in thermal equilibrium.