Clusters on a Thin Quadratic Lattice (Transfer Matrix Technique)
- 1 March 1969
- journal article
- research article
- Published by Wiley in Studies in Applied Mathematics
- Vol. 48 (1) , 77-90
- https://doi.org/10.1002/sapm196948177
Abstract
Formulae for the distribution of clusters of independently occupied sites on an n × 1, n × 2 and n × 3 quadratic lattice are derived by use of the transfer matrix technique. In principle, the formulae can be extended to an n × r lattice for arbitrary r. Both plane and cylindrical lattices are considered.Keywords
This publication has 4 references indexed in Scilit:
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- Percolation Processes. I. Low-Density Expansion for the Mean Number of Clusters in a Random MixtureJournal of Mathematical Physics, 1966
- Percolation Processes and Related TopicsJournal of the Society for Industrial and Applied Mathematics, 1963
- Critical Percolation Probabilities (Site Problem)Physical Review B, 1961