Dissipative instability of overlimiting electron beam

Summary form only given, as follows. Present investigation considers the influence of dissipation on instability of overlimiting electron beam caused by aperiodical modulation of the beam density in system with negative dielectric constant. This variety of overlimiting electron beam instability develops in magnetized beam-plasma waveguide uniform in cross-section.. Along with the growth rates the influence of dissipation on spatial-temporal development and mode structure of the instability is investigated As expected the growth rate has more critical (as compared with sublimiting beams) dependence on effective collision frequency in plasma. An equation describing the influence of dissipation on space-time development of the fields is derived and solved. Analytical expression for the fields´ development dynamics and space distribution are obtained. It is shown that dissipation suppresses the slowest perturbations Wave train shortens. Results are compared with the case of sublimiting beam An approach is presented that allow considering dissipative instability of the overlimiting beams in plasma-filled systems of arbitrary geometry.