Suppressed bond-site percolation

We have developed a new model for correlated bond-site percolation, namely the suppressed bond-site percolation model. In this scheme, the sites are occupied with probability psps as is usual, but the bonds are now opened with a probability that depends on the occupancy of sites in the local vicinity cluster. The vicinity cluster is defined as the cluster of sites that involves the bond endpoint sites as well as the nearest-neighbour sites of these endpoint sites. We believe that the suppressed bond-site model is a useful description of polymerisation. We have studied this new model numerically, using Monte Carlo methods. We have discovered and investigated new features in the percolation threshold.