Percolation of dimers irreversibly adsorbed on heterogeneous surfaces

M. CECILIA GIMÉNEZ; ANTONIO J. RAMIREZ-PASTOR

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2015 p. 261 - 268

0378-4371

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 θ i (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, acomplete ( θ 1 ? θ 2 ?l) phase diagram separating a percolating and a non-percolating region is determined.