Effect of the Bulk Diffusion on the Jamming Limit Configurations for Irreversible Adsorption

We study numerically the diffusion random sequential adsorption (DRSA) and random sequential adsorption (RSA) of hard disks on a one-dimensional lattice segment The saturation coverages of the two processes, although similar, are clearly different within the errors of the simulation. The difference is explained by the nonuniform adsorption of disks within the available gaps when diffusion is permitted. We conclude that a recently proposed class of generalized parking problems cannot rigorously describe the DRSA process.