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Series expansion studies of random sequential adsorption with diffusional relaxation
We obtain long series (28 terms or more) for the coverage (occupation
fraction) , in powers of time for two models of random sequential
adsorption with diffusional relaxation using an efficient algorithm developed
by the authors. Three different kinds of analyses of the series are performed
for a wide range of , the rate of diffusion of the adsorbed particles,
to investigate the power law approach of at large times. We find that
the primitive series expansions in time for capture rich short and
intermediate time kinetics of the systems very well. However, we see that the
series are still not long enough to extract the kinetics at large times for
general . We have performed extensive computer simulations employing an
efficient event-driven algorithm to confirm the saturation approach
of at large times for both models, as well as to investigate the short
and intermediate time behaviors of the systems.Comment: 35 pages. revtex. 16 eps figures. Series expansion coefficients are
attached at the end of the soure/LaTex file (named diff.tex). uses fleqn.st
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