Kinetics and Jamming Coverage in a Random Sequential Adsorption of Polymer Chains

Using a highly efficient Monte Carlo algorithm, we are able to study the growth of coverage in a random sequential adsorption (RSA) of self-avoiding walk (SAW) chains for up to 10^{12} time steps on a square lattice. For the first time, the true jamming coverage (theta_J) is found to decay with the chain length (N) with a power-law theta_J propto N^{-0.1}. The growth of the coverage to its jamming limit can be described by a power-law, theta(t) approx theta_J -c/t^y with an effective exponent y which depends on the chain length, i.e., y = 0.50 for N=4 to y = 0.07 for N=30 with y -> 0 in the asymptotic limit N -> infinity.Comment: RevTeX, 5 pages inclduing figure

Kinetics of irreversible deposition of mixtures

Monte Carlo results are reported for the kinetics of random sequential deposition of mixtures of line segments of two different lengths on the square lattice. It is shown that the rate of late-stage deposition is independent on the type of mixture, but that kinetics is goverened by a novel mechanism, not observed in single-species adsorption. On the basis of our data, a simple expression describing the late stage approach to the jamming limit is obtained