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

CENTRES P. M.; RAMIREZ PASTOR A. J.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

IOP PUBLISHING LTD

Lugar: Londres; Año: 2015 vol. 10 p. 1 - 18

1742-5468

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 oers 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 dierent 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 *k ; and in the range 0 * k , the percolation threshold is practically independent of the fraction of defects. The behavior of * k as a function of k indicates that the percolation of linear k-mers on square lattices is impossible even for an ideal lattice if k 5500. Critical exponents werealso calculated to show that the universality class corresponding to ordinary percolation is preserved.