Cluster number scaling in two-dimensional percolation

D. C. Rapaport

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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 2.56×1010 sites, and periodic boundary conditions are imposed instead of the customary free boundaries in order to reduce residual finite-size effects. The results support scaling to leading order both at and near pc. Corrections to scaling are also examined, but through a value for the associated exponent is obtained, the results suggest that a description based on a single exponent may not be adequate.

Original languageEnglish
Article number022
Pages (from-to)291-304
Number of pages14
JournalJournal of Physics A: Mathematical and General
Issue number2
StatePublished - 1986


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