Abstract

This paper presents an approximate analytical calculation to characterize the percolation in a system where coexist bonds and sites dimers. A dimer is the simplest representation of individuals who are bound to nearest neighbors. Percolation functions represented by polynomials, obtained by numerical listing of a cell of size N = Lx £ Ly for sites and bonds dimers are calculated. In the thermodynamic limit, the percolation threshold for site dimer (bond dimer) is 0:562 (0:486) on a square lattice, values that are in line with their counterparts obtained by numerical simulations. To determine the site-bond phase diagram of dimers on a square lattice, the OR and AND operations associated to the functions of a finite percolation cell are used and performed well with similar results in numerical simulations shown in the literature.