Z. Kissovski et A. Shivarova, PLASMA PERMITTIVITY OF WEAKLY IONIZED INHOMOGENEOUS MAGNETIZED PLASMAS, Plasma physics and controlled fusion, 37(10), 1995, pp. 1119-1132
The longitudinal permittivity of weakly ionized low-temperature inhomo
geneous magnetized plasmas is derived on the basis of the kinetic plas
ma model. Oblique propagation (with respect to the external, comparati
vely weak, magnetic field) of potential perturbations in d.c. discharg
e 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 dir
ection perpendicular to the external magnetic field; (iii) crossed ele
ctric and magnetic fields; and (iv) electric field parallel to the ext
ernal 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 x B drift o
f the ions due to an enhanced ambipolar electric field. The methods of
integration over the unperturbed trajectories and over the angle of t
he gyromotion are applied.