Random sequential adsorption of polyatomic species

Random sequential adsorption of k-mers (particles occupying k adsorption sites on the substrate) of different sizes and shapes deposited on two-dimensional regular lattices is studied. For discrete models at the late stage the surface coverage evolves according to θ(t) θ(∞) - A exp[-t/σ], where θ(∞) is the jamming coverage while A and σ are fitting parameters. In the present paper, the dependence of the terminal relaxation time σ (which determine how fast the lattice is filled up to the jamming coverage) on the parameters of the problem is established through a theoretical approach. In addition, a strategy for determining σ by means of a computational algorithm is presented