Bond percolation is studied for the three homogeneous two-dimensional lattices: square lattice (SL), triangular lattice … (TL) and honeycomb lattice (HL). An expanding cell technique is used to obtain percolation thresholds and other relevant … symmetric cells to get more points in the scaling analysis. Exact percolation functions are obtained for each size. Then, the …

Site and bond percolation of k-mers of different structures and forms deposited on 2-D regular lattices is studied. In … addition, the percolation threshold for percolating k-mers on a Bethe lattice is analytically obtained. By using finite …-size scaling theory, the analysis of the results is performed in order to determine the behavior of the percolation threshold which …

Percolation due to the simultaneous occupation of two neighboring bond sites, namely a bond dimer, is considered here … by means of the renormalization cell technique providing an analytic way to obtain results such as percolation threshold … finite size scaling to obtain tendencies towards the thermodynamic limit. It is observed that the percolation threshold is …

in three different types of percolation problems show that the random walker sees a developing Euclidean signature for …

Random walk simulations based on a molecular trajectory algorithm are performed on critical percolation clusters. The …

anisotropy. If the latter is constant within a non-vanishing region close to the percolation threshold, a single critical …

measured as a function of their apparent density. Different percolation thresholds at which the physical properties under study …