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Percolation of dimers irreversibly adsorbed on heterogeneous surfaces

Author

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  • Gimenez, M.C.
  • Ramirez-Pastor, A.J.

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.

Suggested Citation

  • Gimenez, M.C. & Ramirez-Pastor, A.J., 2015. "Percolation of dimers irreversibly adsorbed on heterogeneous surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 261-268.
    • Handle: RePEc:eee:phsmap:v:421:y:2015:i:c:p:261-268
    DOI: 10.1016/j.physa.2014.11.036
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