The Effect of the Angular and Radial Distributions of Trajectories on the Structure of Axisymmetric Electron and Ion Beams with Compensated Charge in a Longitudinal Magnetic Field

The structure of beams with compensated charge is described using a multiflow collisionless model in which the current is split into $N$ interacting tubes of current. The effect of the boundary angular distribution of the tubes of current, as well as of the boundary radial distribution of current, on the configuration of electron and ion beams is studied. It is demonstrated that a crisis of flow arises in the absence of an external magnetic field at a certain value of current. An external longitudinal magnetic field expands the region of noncritical flow and promotes the laminarity of flow. The boundaries of the critical mode are determined for different angular and radial distributions, and the trajectories of the tubes of current in the subcritical and supercritical regions are calculated.