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 …

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 …

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 …

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

the percolation of homonuclear dimers on square lattices. An efficient algorithm allows us to calculate the detailed … structure of the configuration space for M=Lx×Ly cells, with M varying from 16 to 36. The percolation process has been monitored … by following the percolation function, defined as the ratio between the number of percolating configurations and the …

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