Bd. Lubachevsky et al., MORPHOLOGY OF AMORPHOUS LAYERS BALLISTICALLY DEPOSITED ON A PLANAR SUBSTRATE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(1), 1993, pp. 48-53
We report numerical simulation of the deposition of spherical particle
s on a planar surface, by ballistic, straight-line trajectory transpor
t, and assuming irreversible adhesion on contact with the surface or p
reviously deposited particles. Our data indicate that the deposit form
ed has a loosely layered structure within a few diameters from the sur
face. This structure can be explained by a model of growth via chain f
ormation. Away from the surface we found evidence of a monotonic, powe
r-law approach to the bulk density. Both density and contact-statistic
s results suggest that the deposit formed is sparse: the space-filling
fraction is about 15%, and the average number of contacts is 2. The m
orphology of the deposit both near the surface and in the bulk seems t
o be a result of competition of screening and branching; nearly half o
f all the spheres are either single-contact dangling ends, or branchin
g nodes with more than two contacts.