Ff. Young et Chj. Wu, COMPARISONS OF ONE-DIMENSIONAL AND 2-DIMENSIONAL 3-MOMENT FLUID MODELS FOR RF GLOW-DISCHARGES, Journal of applied physics, 74(2), 1993, pp. 839-847
Self-consistent nonequilibrium fluid models of both the two-dimension
(2D) and one-dimension (1D) are presented. In the 2D simulations, the
models evaluate the quantitative effects of both radial and axial flow
dynamics inside a cylindrically symmetric parallel-plate geometry. Th
e 1D model assumes that the radius of the electrode is much larger tha
n the electrode gap and the moment distributions are uniform along the
radial direction. The models are based on the first three moments of
the Boltzmann equation and Poisson's equation. Radio frequency (rf) gl
ow discharge simulations from those two fluid models are presented and
compared in this study. The comparisons are presented in terms of pla
sma density, electric field, mean energy, and ionization rate. Results
of the 1D fluid model are close to those at the center of the reactor
from the 2D simulations. Nonuniform profiles along the radial directi
on are obtained from the 2D simulations due to the radial dynamics. Hi
gher electron mean energy in the middle region of the radial sheath is
observed. The maximum ionization rate is located in the radial sheath
region and agrees with the experimental observation.