Hs. Choi et al., 1ST-LAYER FORMATION IN BALLISTIC DEPOSITION OF SPHERICAL-PARTICLES - KINETICS AND STRUCTURE, The Journal of chemical physics, 99(11), 1993, pp. 9296-9303
We present a computer simulation and theoretical study of a ballistic
deposition process in which spheres are incident on a planar surface.
Each incoming sphere follows a path of steepest descent which may invo
lve rolling over the surface of preadsorbed spheres. All particles rea
ching a stable, elevated position are removed. The frequency of the va
rious rolling mechanisms are evaluated as a function of coverage. The
addition mechanism generates clusters of connected spheres by accretio
n and coalescence. We evaluate the dependence of the cluster size dist
ribution and coalescence probability on coverage. Various peaks in the
radial distribution function of the deposited layer provide a signatu
re for the deposition mechanism. The asymptotic approach to saturation
is shown to be of the form theta(infinity) - theta(t) is-proportional
-to exp[-(4/pi)S(m)t]/t2, where S(m) = square-root 3/2 is the smallest
possible target area. The expression is shown to be consistent with t
he simulation results. Interpolants, which accurately describe the tim
e-dependent coverage over the entire coverage range, are developed bas
ed on the exact expressions for the asymptotic and low coverage kineti
cs.