Abstract
The percolation problem of irreversibly deposited dimers on square lattices with two kinds of sites is studied. Simple adsorptive surfaces are generated by square patches of l×l sites, which can be either arranged in a deterministic chessboard structure or in a random way. Thus, the system can be characterized by the distribution (ordered or random) of the patches, the patch size l and the probability of occupying each patch θi (i=1,2). Dimers (particles that occupy two neighboring sites simultaneously) are irreversibly adsorbed on the lattice. By means of random adsorption simulations and finite-size scaling analysis, a complete (θ1–θ2–l) phase diagram separating a percolating and a non-percolating region is determined.
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