We study the effect of the presence of a regular substrate pattern on the irreversible adsorption of nanosized and colloid particles. Deposition of disks of radius r_0 is considered, with the allowed regions for their center attachment at the planar surface consisting of square cells arranged in a square lattice pattern. We study the jammed state properties of a generalized version of the random sequential adsorption model for different values of the cell size, a, and cell-cell separation, b.

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... e model shows a surprisingly rich behavior in the space of the two dimensionless parameters α=a/2r_0 and β=b/2r_0. Extensive Monte Carlo simulations for system sizes of 500×500 square lattice unit cells were performed by utilizing an efficient algorithm, to characterize the jammed state morphology.