FLUCTUATIONS IN THE RANDOM SEQUENTIAL ADSORPTION OF DISKS AND PARALLEL SQUARES - FINITE-SIZE EFFECTS AT LOW COVERAGES

This work is focused on explicit finite size corrections in the calcul ation of the fluctuation in the number of hard disks and parallel (ali gned) hard squares deposited on a finite flat surface through a random sequential adsorption process. Explicit size effects are made evident by using a finite-system pair correlation function for calculating th e fluctuation. The method is based on the relation between this pair c orrelation function and its infinite-system counterpart. A diagrammati c density (coverage) expansion of the corresponding infinite-system pa ir correlation function is used to calculate the low-coverage behavior of the fluctuation. Results also include border effects due to consid er a finite size region for evaluating the fluctuation. A comparison w ith Monte Carlo computer simulations shows an excellent agreement betw een theoretical and simulation results. (C) 1997 American Institute of Physics.