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Monte Carlo experiments on cluster size distribution in percolation
Hoshen, Joseph; Stauffer, D.; Bishop, G. H.; Harrison, R. J.; Quinn, G. D.
Hoshen, Joseph; Stauffer, D.; Bishop, G. H.; Harrison, R. J.; Quinn, G. D.
1979-08-01
Citation:Hoshen, J; Stauffer, D; Bishop, G H; Harrison, R J; Quinn, G D (1979). "Monte Carlo experiments on cluster size distribution in percolation." Journal of Physics A: Mathematical and General. 12(8): 1285-1307. <http://hdl.handle.net/2027.42/48798>
Abstract: Cluster statistics in two- and three-dimensional site percolation problems are derived here by Monte Carlo methods. The average number ns of percolation clusters with s occupied sites each is calculated by up to 19 runs on a 4000*4000 triangular lattice near pc. The data support the two-exponent scaling assumption ns varies as s- tau f(z'), where z'=(p/pc-1)ssigma .
