Effect of edges on random sequential adsorption on a lattice

We examine the effect of edges on the random, sequential, irreversible filling of sites on a lattice. In particular, we focus upon the distance that the edge effect propagates into the bulk and how this varies depending upon the length of the filling species for some simple one- and two-dimensional processes on a square lattice. Primary consideration is given to the saturation state. We find that for random n-mer filling, the edge effect propagates approximately 2n to 3n sites into the lattice. Additionally, we find that the effect of an edge will propagate farther along an adjacent edge (in a corner).