Percolation and jamming in random sequential adsorption of lineark-mers on square lattices with the presence of impurities

Percolation and jamming of linear k -mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling analysis. The model offers a simplified representation of the problem of percolation in amorphous solids, where the presence of defects in the system is simulated by introducing a fraction of imperfect bonds ρ , which are considered forbidden for deposition. The dependence of percolation and jamming thresholds on the concentration of defects was investigated for different values of k , ranging from 2 to 64. The results obtained show that: for each fixed value of k , percolation can occur when ρ is smaller than a certain value ; and in the range , the percolation threshold is practically independent of the fraction of defects. The behavior of as a function of k indicates that the percolation of linear k -mers on square lattices is impossible even for an ideal lattice if . Critical exponents were also calculated to show that the universality class corresponding to ordinary percolation is preserved.