Threshold and scaling in percolation with restricted valence
- 1 January 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (1) , L13-L18
- https://doi.org/10.1088/0305-4470/15/1/003
Abstract
Monte Carlo calculations have been carried out to study the problem of percolation with restricted valence on the square and simple cubic lattices. The results are in full agreement with the expectations: there is no transition when the restriction ( nu ) is equal to two, while even for nu =3 the transition occurs and the correlation length exponent, determined via finite size scaling, is within the numerical accuracy the same as that in the unrestricted random percolation. The maximum random occupancy as a function of the restriction is also determined.Keywords
This publication has 10 references indexed in Scilit:
- Anisotropic bond percolation by position-space renormalisation groupJournal of Physics A: General Physics, 1981
- Critical exponents of two-dimensional Potts and bond percolation modelsJournal of Physics A: General Physics, 1981
- Real-space renormalisation group approach for linear and branched polymersJournal of Physics A: General Physics, 1980
- Restricted valence site animals on the simple cubic latticeJournal of Physics A: General Physics, 1980
- The Change in the Prefactor Exponent with Valence for Percolation in 3 and 4 DimensionsZeitschrift für Naturforschung A, 1980
- Large-cell Monte Carlo renormalization group for percolationPhysical Review B, 1980
- Scaling theory of percolation clustersPhysics Reports, 1979
- Restricted valence site animals on the triangular latticeJournal of Physics A: General Physics, 1979
- Percolation with restricted valenceJournal of Physics A: General Physics, 1979
- Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithmPhysical Review B, 1976