SERIES-EXPANSION STUDIES OF RANDOM SEQUENTIAL ADSORPTION WITH DIFFUSIONAL RELAXATION

We obtain long series (28 terms or more) for the coverage (occupation fraction) theta, in powers of time t for two models of random sequenti al adsorption with diffusional relaxation using an efficient algorithm developed by the present authors [J. Phys. A 29, L177 (1996)]. Three different kinds of analyses of the series are performed for a wide ran ge of gamma, the rate of diffusion of the adsorbed particles, to inves tigate the power-law approach of theta at large times. We find that th e primitive series expansions in time t for theta capture rich short- and intermediate-time kinetics of the systems very well. However, we s ee that the series are still not long enough to extract the kinetics a t large times for general gamma. We have performed extensive computer simulations employing an efficient event-driven algorithm to confirm t he t(-1/2) saturation approach of theta at large times for both models , as well as to investigate the short- and intermediate-time behaviors of the systems.