The longitudinal permittivity of weakly ionized low-temperature inhomogeneous magnetized plasmas is derived on the basis of the kinetic plasma model. Oblique propagation (with respect to the external, comparatively weak, magnetic field) of potential perturbations in d.c. discharge plasmas sustained under conditions of a diffusion-controlled regime is modelled. The equilibrium plasma state accounts for (i) collisions of charged particles with neutrals; (ii) plasma inhomogeneity in a direction perpendicular to the external magnetic field; (iii) crossed electric and magnetic fields; and (iv) electric field parallel to the external magnetic field. The solution of the Boltzmann equation obtained in the framework of successive approximations approaches the case of a non-complete ion magnetization and comparatively strong E*B drift of the ions due to an enhanced ambipolar electric field. The methods of integration over the unperturbed trajectories and over the angle of the gyromotion are applied.
Plasma transport across magnetic field lines in low-temperature plasma sources