Kinetics and jamming coverage in a random sequential adsorption of polymer chains

Abstract

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 ∼1012time 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 - c/ty 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 → ∞.