Percolation of interacting particles on heterogeneous surfaces

The percolation problem of interacting particles on square lattices with two kinds of energetically different sites is studied. Square lattices formed by collections of either randomly or orderly distributed sites are generated. The system is characterized by two parameters, namely, the interaction between adjacent particles, ω, and the energy difference between the two kinds of sites, ΔE. Particles are adsorbed at equilibrium on the lattice. By means of Monte Carlo simulations and finite-size scaling analysis the critical coverage is determined. The percolative behavior of the system is presented and discussed in terms of the mentioned parameters, ω and ΔE.