The scaling laws for percolation processes
- 30 July 1971
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 4 (10), L228-L232
- https://doi.org/10.1088/0022-3719/4/10/015
Abstract
An analogy is drawn between the mean number of clusters and the free energy of a ferromagnet. The corresponding scaling laws, describing the behaviour near the critical point, are tested using the exact solution for the Bethe lattice. Numerical work on the moments of the cluster size distribution for two and three dimensional lattices is found to be consistent with the scaling hypothesis.Keywords
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