Percolation of dimers irreversibly adsorbed on heterogeneous surfaces

M.C. Gimenez and A.J. Ramirez-Pastor

Physica A: Statistical Mechanics and its Applications, 2015, vol. 421, issue C, 261-268

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.

Keywords: Percolation; Dimers; Adsorption; Heterogeneous surfaces (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:421:y:2015:i:c:p:261-268

DOI: 10.1016/j.physa.2014.11.036

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