Percolation in random sequential adsorption of extended objects on a triangular lattice

The percolation aspect of random sequential adsorption of extended objects on a triangular lattice is studied by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding lattice steps on the lattice. Jamming coverage theta(jam), percolation threshold theta(*)(p), and their ratio theta(*)(p)/theta(jam) are determined for objects of various shapes and sizes. We find that the percolation threshold theta(*)(p) may decrease or increase with the object size, depending on the local geometry of the objects. We demonstrate that for various objects of the same length, the threshold theta(*)(p) of more compact shapes exceeds the theta(*)(p) of elongated ones. In addition, we study polydisperse mixtures in which the size of line segments making up the mixture gradually increases with the number of components. It is found that the percolation threshold decreases, while the jamming coverage increases, with the number of components in the mixture.