Percolation properties of inhomogeneous k-mers on a triangular lattice
Percolation properties of two types of inhomogeneous k-mers with different arrangements of conductive and nonconductive sites on a triangular lattice is studied by Monte Carlo simulations. The depositing objects are ‘Janus’ k-mers, with one conductive and one nonconductive side, and ‘patchy’ k-mers, with conductive ends and a nonconductive middle. We find that the percolation threshold strongly depends on the k-mer length, the number of nonconductive sites, and their spatial distribution. For both object types, the percolation threshold increases with the fraction of nonconductive sites. For fixed number of nonconductive sites, the threshold decreases monotonicaly with the object length. The presence of pre-existing conductive objects on the substrate can either hinder or enhance percolation, depending on their size and concentration.