Vi. Kolobov et Va. Godyak, NONLOCAL ELECTRON KINETICS IN COLLISIONAL GAS-DISCHARGE PLASMAS, IEEE transactions on plasma science, 23(4), 1995, pp. 503-531
Nonlocal phenomena in electron kinetics of collisional gas discharge p
lasmas, their kinetic treatment by a nonlocal approach, and relevant e
xperimental results are reviewed in this paper. Using the traditional
two-term approximation for the electron distribution function, a gener
al method to analyze electron kinetics in nonuniform plasmas in de and
RF fields for atomic gases is presented for the nonlocal case, when t
he electron energy relaxation length exceeds the characteristic spatia
l scale of bounded plasmas. The nonlocal method, which is based on the
great difference between the electron mean free path for the momentum
transfer and the electron energy relaxation length, considerably simp
lifies the solution of the kinetic equation and, in a number of cases,
allows one to obtain analytical and semi-analytical solutions. The ma
in simplification is achieved for trapped electrons by averaging the B
oltzmann equation over space and fast electron motion. Numerous exampl
es of spatial nonlocality are considered in the positive column and ne
ar the electrodes of de glow discharges, in spatial relaxation of the
electron distribution and in striations, and in capacitively and induc
tively coupled low-pressure RF discharges. The modeling of fast beam-l
ike electrons is based on a continuous-energy-loss approximation with
the assumption of forward scattering. Simple analytic expressions for
the fast electron spectrum are obtained in cathode regions of de disch
arges with planar and hollow cathodes.