Effect of diffusional relaxation in random sequential adsorption of polymer chains

We study by Monte Carlo computer simulations random sequential adsorption with diffusional relaxation of polymer chains of size N onto a square lattice. The coverage θ(t) is found to grow to full saturation with a power-law behaviour i.e., θ(t) 1 − t−y, where the exponent y ≈ 1/(N − 1) in the fast diffusion limit. This result agrees with recent mean-field results for a corresponding chemical reaction.