Non-collisional kinetic model for non-neutral plasmas in a Penning trap: General properties and stationary solutions.

A non-collisional kinetic model for a non-neutral plasma in a Penning trap is presented. This model describes the evolution of the z-integrated distribution function of the particles, taking into account the three-dimensionality of the problem. The general properties of the model, in particular the conservation laws, are studied. The model is also related to the fluid model proposed by Firm et al. and refined by Coppa et al. Finally, numerical investigations are presented concerning the equilibrium solutions of the model. [ABSTRACT FROM AUTHOR]