Evidence for Ising-Type Critical Phenomena in Two-Dimensional Percolation
- 23 September 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 55 (13) , 1343-1346
- https://doi.org/10.1103/physrevlett.55.1343
Abstract
A recent theory of two-dimensional percolation predicts critical singularities identical to those appropriate for the associated dilute Ising model. This implies the absence of a separate universality class for two-dimensional percolation processes. Novel numerical and series-expansion studies are presented in support of this unexpected result.Keywords
This publication has 10 references indexed in Scilit:
- Dilute Ferromagnet, Percolation, andSpin-Glass Phase Transitions from Grassmann Path IntegralsPhysical Review Letters, 1984
- The Potts modelReviews of Modern Physics, 1982
- Two-dimensional percolation: logarithmic corrections to the critical behaviour from series expansionsJournal of Physics A: General Physics, 1981
- q-state Potts models in d dimensions: Migdal-Kadanoff approximationJournal of Physics A: General Physics, 1981
- Some remarks on the electronic states in disordered materialsJournal of Physics A: General Physics, 1981
- Percolation theoryReports on Progress in Physics, 1980
- Magnetic exponents of the two-dimensional q-state Potts modelJournal of Physics A: General Physics, 1980
- A relation between the temperature exponents of the eight-vertex and q-state Potts modelJournal of Physics A: General Physics, 1979
- Scaling theory of percolation clustersPhysics Reports, 1979
- Mean number of clusters for percolation processes in two dimensionsJournal of Physics A: General Physics, 1976