Equilibria and dynamics of nonquasineutral electron current filaments on different space-time scales

The investigations of the nonquasineutral current filaments with the two-component magnetic field are presented. It is shown that for the combined helical magnetic field with two components B_z and B₀ it is possible to make use of the earlier proposed approach in the construction of the filament quasi-equilibrium and in studies of the ion dynamics. The main feature of the equilibrium of the electron current filament consists in the presence of the strong electric field, which appears as a result of the charge separation at the magnetic Debye radius r_B. Because of the domination of the azimuthal magnetic field at the periphery of the filament and the negative electric field there, one can choose such a relation between the different components of the magnetic field that near the centre of the filament dominates the longitudinal magnetic field and the electric filed is positive. The numerical calculations of the ion dynamics due to the electric field of the filament are presented. It was obtained that the same equations can describe the equilibria and dynamics of the filaments from the micron size scale to the length of about million km.