of Statistical Mechanics : Theory and Experiment PAPER : CLASSICAL STATISTICAL MECHANICS , EQUILIBRIUM AND NON-EQUILIBRIUM The study of percolation with the presence of extended impurities
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 . For a wide range of impurity concentrations p, percolation threshold θ∗ p is determined for k-mers, angled objects and triangles of two dierent sizes. For suciently 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 . We determine the critical concentrations of defects pc above which it is not possible to achieve percolation for a given object, for impurities of various lengths . It is found that the critical concentration pc of finite-size impurities decreases with the length of impurities. In the case of deposition of larger objects an exception occurs for point-like impurities when critical concentration pc of monomers is lower than pc 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. I Lončarević et al The study of percolation with the presence of extended impurities Printed in the UK 093202 JSMTC6 © 2017 IOP Publishing Ltd and SISSA Medialab srl 2017 J. Stat. Mech.