Vortex Structures and Electron Beam Dynamics in Magnetized Plasma

We investigate the formation of vortex structures at the refl ection of an electron beam from the double layer of the Jupiter ionosphere. The infl uence of these vortex structures on the formation of dense upward electron fl uxes accelerated by the double layer potential along the Io flux tube is studied. The phase transition to the cyclotron superradiance mode becomes possible for these electrons. The conditions of the formation of vortex perturbations are considered. The nonlinear equation that describes the vortex dynamics of electrons is constructed, and its consequences are studied.