Low-coverage kinetics of correlated sequential adsorption

A model for irreversible adsorption recently studied by Jullien and Meakin [J. Phys. A 25, L189 (1992)] resembles the deposition of slow-moving spherical particles on a flat plane, except that multilayer buildup is not allowed. The adsorption process is more rapid than in the case of random sequential adsorption and reaches a somewhat higher fractional coverage in the jamming limit. We have obtained a density expansion up to third order for the pair density function ρ⁽²⁾(r,{ρ}), which agrees well with simulation results up to {Θ}=0.4 and predicts the long-range structure of the jammed monolayer accurately. We have also calculated the leading terms in the three-particle density function. This result was used to compute the available area fraction {φ}, which falls off initially as Θ³, the proportionality constant being 16/9+4 {}3 /{π}+500/9π².