ABSTRACT
The transverse current can arise in the presence of a shock wave or a soliton, in the presence of a periodic magnetoacoustic wave used for high-frequency plasma heating, and also in the case of a plasma rotating in crossed electric and magnetic fields. The case of a rotating plasma can be considered as strictly stationary. This chapter deals with the small-scale perturbations described by the local dispersion relation. It considers how the dispersion relation of electrostatic perturbations is modified due to a transverse current. The high-frequency approximation for cold electrons is important, in particular, in the problem of Buneman's instability. In the description of the ion equilibrium there is some arbitrariness. In order to remove such an arbitrariness, it is necessary to examine the preceding plasma processes. This concerns the quasi-stationary plasma equilibrium, example, the plasma in the field of a shock wave or a periodic magnetoacoustic wave.
