Percolation thresholds and universal formulas
- 1 February 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 55 (2) , 1514-1517
- https://doi.org/10.1103/physreve.55.1514
Abstract
A calculation of percolation thresholds of 11 two-dimensional and 18 three-dimensional lattices is presented. Among the three-dimensional ones are a random lattice and its dual, plus a number of aniso- tropic regular lattices. The results are used to test universal formulas that relate the percolation thresholds of lattices to their dimension and coordination number. The evidence suggests that dimension and coordination number are not sufficient to predict percolation thresholds.Keywords
This publication has 14 references indexed in Scilit:
- Reply to ``Comment on `Universal formulas for percolation thresholds't''Physical Review E, 1997
- sComment on ``Universal formulas for percolation thresholds''Physical Review E, 1997
- Universal formulas for percolation thresholdsPhysical Review E, 1996
- Bond percolation critical probability bounds derived by edge contractionJournal of Physics A: General Physics, 1988
- A bond percolation critical probability determination based on the star-triangle transformationJournal of Physics A: General Physics, 1984
- Equivalence of the void percolation problem for overlapping spheres and a network problemJournal of Physics A: General Physics, 1983
- On Polya random walks, lattice Green functions, and the bond percolation thresholdJournal of Physics A: General Physics, 1983
- Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithmPhysical Review B, 1976
- Exact Critical Percolation Probabilities for Site and Bond Problems in Two DimensionsJournal of Mathematical Physics, 1964
- Percolation processesMathematical Proceedings of the Cambridge Philosophical Society, 1957