Equilibrium and stability of the charged particles’ fluxes drifting crosswise to the strong magnetic field at the expense of the Hall charge separation

Abstract

The current equilibrium is investigated, where the generation of the Hall electric field on the magnetic Debye radius r B = B 0/(4πen e) is considered by the drifting of the relativistic electrons crosswise to the strong magnetic field. In this case, the electron propagation is possible at the distance d that is essentially larger than the electron radius of the backward reflection in the magnetic field r 0 ≃ m e v z c/(eB 0). The instability of the joint drift motion of ions and electrons is investigated for the frequency oscillation w much higher than the ion cyclotron frequency w Bi and by 4π n i m i c 2 ≫ B 0 2 and (k · B 0) = 0. It is shown that the resonance effects by the ion beam’s plasma frequency w − kv 0 = w pi leads to the generation of the nonpotential perturbations with the characteristic increment Imw ∼ 10−1 ÷ 10− 2 w pi. Estimates show that the instability, associated with the propagation of the high-energy ion beam through the strong magnetic field, can essentially be like the edge-localized mode in tokamaks.