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

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

Journal of Statistical Mechanics: Theory and Experiment

Institute of Physics Publishing

Año: 2015 vol. 2015 p. 2 - 2

1742-5468

ercolation 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 dierent values of k, ranging from 2 to 64. Theresults obtained show that: for each fixed value of k, percolation can occur when ρ is smaller than a certain value ρ*_k; and in the range 0