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 of self-avoiding walk chains for up to {~}10¹² time steps on a square lattice. For the first time, the true jamming coverage θJ is found to decay with the chain length N with a power law θJ∝N^-0.1. The growth of the coverage to its jamming limit can be described by a power law θ(t)≈θJ-ctʸ with an effective exponent y which depends on the chain length, i.e., y0.50 for $N=4$ to y0.07 for $N=30$ with y→0 in the asymptotic limit N→∞.