Derivation of series expansions for a study of percolation processes
- 11 November 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (16) , 3415-3424
- https://doi.org/10.1088/0305-4470/19/16/036
Abstract
The derivation of series expansions for a study of percolation processes for both site and bond mixtures is reviewed. For the bond problem, low density expansions for the mean size of clusters on the simple cubic and body-centred cubic lattices are given through p14. High density expansions for the mean number and size of finite clusters and the percolation probability are given for the simple cubic lattice through q41 and for the body-centred cubic lattice through q61.Keywords
This publication has 21 references indexed in Scilit:
- Corrections to scaling for branched polymers and gelsPhysical Review B, 1983
- Series study of random percolation in three dimensionsJournal of Physics A: General Physics, 1983
- Counting polyominoes: Yet another attackDiscrete Mathematics, 1981
- Percolation theoryReports on Progress in Physics, 1980
- Percolation processes in d-dimensionsJournal of Physics A: General Physics, 1976
- Percolation and ConductionReviews of Modern Physics, 1973
- Graph theory and statistical physicsDiscrete Mathematics, 1971
- An introduction to percolation theoryAdvances in Physics, 1971
- Percolation Processes. I. Low-Density Expansion for the Mean Number of Clusters in a Random MixtureJournal of Mathematical Physics, 1966
- Fluctuation Phenomena and Stochastic ProcessesNature, 1959