Random sequential adsorption on a linear lattice

In this paper, the authors offer phenomenological arguments, supported by numerical Monte Carlo data, suggesting that the asymptotic large-time behavior of the coverage in the 1D lattice deposition of k-mers with k > 3, accompanied by k-mer diffusion, is governed by the same mean-field dynamics as the lattice chemical reaction kA → inert. The latter reaction is considered to occur with partial probability. The coverage in the deposition process approaches full saturation for any nonzero diffusion rate, and the void fraction decreases according to the power-law t-1/(k-1)