Dissipative instability of longitudinal wave in interaction between spiral electron beam and warm collisional magnetized plasma

Abstract

The dissipative instability of longitudinal waves due to the interaction of a relativistic spiral electron beam with a magnetized plasma is analytically investigated using the Bhatnagar-Gross-Krook kinetic theory, in which the thermal and collisional effects are taken into account. The dispersion relation of the longitudinal wave is derived, using the dielectric permittivity tensor of the plasma. The frequency spectrum and growth rate of the instability are calculated by solving the dispersion relation in both strongly and weakly magnetized plasmas. It is shown that the growth rate of the instability increases with the beam velocity.