Low-coverage kinetics of correlated sequential adsorption

Abstract

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 ${\mathrm{\rho }}^{\mathrm{}\left(2\right)\mathrm{}}$(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 ${\mathrm{\Theta }}^3$, the proportionality constant being 16/9+4 √3 /π+500/9${\mathrm{\pi }}^2$.