Cluster number scaling in two-dimensional percolation

D C Rapaport
1986 Journal of Physics A: Mathematical and General  
The cluster distribution for site percolation on the triangular lattice is studied at and close to pc using Monte Carlo techniques. Lattice sizes range as high as 2.56 X 10" sites, and periodic boundary conditions are imposed instead of the customary free houndaries in order to reduce residual Enite-size effects. The results support scaling to leading order both at and near pc. Corrections to scaling are also examined, but though a value for the associated exponent is obtained, the results
more » ... st that a description based on a single exponent may not be adequate. D C Rapaport Domb C and Pearce P A 1976 J. Phys. A: Math. Gen. 9 L137 Essam
doi:10.1088/0305-4470/19/2/022 fatcat:esar3yuq5ffitpwddmrspm6pma