RANDOM SEQUENTIAL ADSORPTION - SERIES AND VIRIAL EXPANSIONS

We introduce an operator formalism for random sequential adsorption on lattices and in continuous space. This provides a convenient framework for deriving series expansions for the deposition rate d-theta / dt in powers of t. Several specific examples-the square lattice with nearest-neighbor exclusion, and with exclusion extended to next-nearest neighbors, and disks and oriented squares on the plane-are considered in detail. Precise estimates for theta-(t) and the jamming coverage are obtained via Pade approximant analysis. These are found to be in excellent agreement with simulation results. A diagrammatic expansion for d-theta / dt is derived, and its relation to the equilibrium Mayer series is elucidated.