Kinetics of Random Sequential Adsorption

Abstract

We present the first kinetic analysis specifically applicable to the random sequential adsorption (RSA) process in the intermediate coverage range. Our method is applied to hard disks adsorbing on a flat, uniform surface. Exact analytic expressions are derived for the first three coefficients of a power series for the rate of adsorption as a function of the coverage \ensuremath{\bigominus}. Comparison with computer simulations shows that the third-order expansion describes the RSA process to an accuracy of better than 1% up to a coverage of 30%, i.e., up to 55% of the known jamming limit.