Histogram Monte Carlo renormalization-group method for percolation problems
- 1 September 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 46 (10), 6592-6595
- https://doi.org/10.1103/physrevb.46.6592
Abstract
We present a histogram Monte Carlo method to calculate the existence probability , the percolation probability P, and the mean-cluster size S for percolation problems as continuous functions of the bond or site probability p. We then use and P in a percolation renormalization-group method to calculate the critical point and exponents. Our method gives quite accurate results for percolation problems.
Keywords
This publication has 29 references indexed in Scilit:
- Percolation in two-dimensional lattices. II. The extent of universalityPhysical Review B, 1989
- Percolation in two-dimensional lattices. I. A technique for the estimation of thresholdsPhysical Review B, 1989
- CAM estimates of critical exponents of spin glasses and percolationPhysics Letters A, 1988
- Introduction to Percolation TheoryPublished by Informa UK Limited ,1985
- Application of the phenomenological renormalization to percolation and lattice animals in dimension 2Journal de Physique, 1982
- Critical exponents of two-dimensional Potts and bond percolation modelsJournal of Physics A: General Physics, 1981
- Percolation theoryReports on Progress in Physics, 1980
- Large-cell Monte Carlo renormalization group for percolationPhysical Review B, 1980
- Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponentsJournal of Physics A: General Physics, 1977
- On the random-cluster modelPhysica, 1972