APPLICATION OF THE CENTRAL-PARTICLE-POTENTIAL APPROXIMATION FOR PERCOLATION IN INTERACTING SYSTEMS

We compute the percolation threshold of systems of interacting particl es by a tandem-adding algorithm with a rejection criterion based on th e density distribution of the particles. The results are very close to those obtained in our previous work based on a simple Boltzmann centr al-particle approximation. The results are also essentially the same a s those obtained by the Metropolis method, even though our algorithm i s conceptually different and does not generate a true equilibrium, con figuration. This finding suggests that connectivity, in comparison wit h other system properties, is more ''general'' and is not sensitive to the particulars of the equilibrium state. Thus, our findings offer an efficient method for obtaining percolation thresholds in systems of i nteracting particles. This method is computationally simpler and faste r than the well known Metropolis method.