The study of percolation with the presence of extended impurities. (18th September 2017) - Lončarević, I
Abstract: In the preceding paper, Budinski-Petković et al (2016 J. Stat. Mech . 053101) studied jamming and percolation aspects of random sequential adsorption of extended shapes onto a triangular lattice initially covered with point-like impurities at various concentrations. Here we extend this analysis to needle-like impurities of various lengths ℓ . For a wide range of impurity concentrations p, percolation threshold θ p ∗ is determined for k -mers, angled objects and triangles of two different sizes. For sufficiently large impurities, percolation threshold θ p ∗ of all examined objects increases with concentration p, and this increase is more prominent for impurities of a larger length ℓ . We determine the critical concentrations of defects p c ∗ above which it is not possible to achieve percolation for a given object, for impurities of various lengths ℓ . It is found that the critical concentration p c ∗ of finite-size impurities decreases with the length ℓ of impurities. In the case of deposition of larger objects an exception occurs for point-like impurities when critical concentration p c ∗ of monomers is lower than p c ∗ for the dimer impurities. At relatively low concentrations p, the presence of small impurities (but not point-like) stimulates the percolation for larger depositing objects.