Abstract
A Lagrangian computer model consisting of 1000 electron rods has been used to investigate the long-wave diocotron instability in a low-density (ωp2 ≪ ωc2), re-entrant, crossed-field electron beam. A thick and thin beam were found to be stable and unstable, respectively, as predicted by theory. Excellent agreement was obtained between the theoretical growth rate and that observed in the model. The computer model was able to follow the nonlinear behavior of the system. The unstable beam broke up into a vortex street which remained for a long time. The size of the vortex was not enough to transport electrons to the wall of the system and the beam remained confined to the interior.
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