Dynamics pecularities of the space-charge dominated electron beams interacting with a surface in crossed fields

Problems of nonlinear dynamics of space-charge dominated electron beams in crossed E×B-fields are discussed. The review of the results of computer simulations of electron flows self-organization inside magnetically isolated coaxial diodes (magnetron gun) is given. Magnetron guns of usual and inverse polarities are considered. The main reasons of the self-organization process and development of regular space structures of the flows are: non-linear azimuthal instability of the flow under condition of strong nonuniform secondary self-sustaining emission and pure thermionic emission, and the dominant influence of a feedback on the emitting surface on the dynamics of electron curls. The dynamics of intense electron flows in systems with curvature radius of electrons compared with the amplitude of "betatron" oscillations differs from usual systems. Several examples are shown including the storage of particles inside the gap, the development of dense electron curls, the utilization of such systems for generation of high-frequency oscillations