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 θ_J is found to decay with the chain length N with a power law θ_J~N^-0.1. The growth of the coverage to its jamming limit can be described by a power law θ(t)~=θ_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-->∞.