Characteristics of non-spanning clusters in a percolating two-dimensional square lattice


Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress, University of San Carlos, Cebu City, 23–25 Oct 2013, SPP2013-PB-10.


A study of interest in site percolation is to determine the characteristics of other clusters formed that do not span a given space. In this work we simulate on a square lattice of size L x L and show the behavior of the mean cluster size and its associated parameters near the percolation threshold. We find that at the percolation threshold the mean cluster size is proportional to L^1.656.