Percolation by position-space renormalisation group with large cells
- 1 August 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (8) , L199-L207
- https://doi.org/10.1088/0305-4470/11/8/006
Abstract
The authors demonstrate that the critical properties of the percolation model can be obtained with a rather high degree of accuracy by extrapolating to b= infinity a sequence of position-space renormalisation group calculations for finite cells of side b. For bc and the scaling powers yp and yh at the various values of b. Finally, we introduce a transformation from a cell of side b to a cell of side b', which may be viewed as an 'infinitesimal' transformation with a scale change of b/b'.Keywords
This publication has 18 references indexed in Scilit:
- Renormalisation group approach for percolation-magnetic indicesJournal of Physics C: Solid State Physics, 1977
- Kadanoff block transformation by the Monte Carlo techniquePhysical Review B, 1977
- Percolation thresholds in Ising magnets and conducting mixturesPhysical Review B, 1977
- Series expansion study of the pair connectedness in site percolation modelsJournal of Physics C: Solid State Physics, 1976
- Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithmPhysical Review B, 1976
- Renormalization-group calculation of the critical exponents for percolationPhysical Review B, 1976
- Series expansion study of the pair connectedness in bond percolation modelsJournal of Physics C: Solid State Physics, 1975
- Renormalization-Group Approach to Percolation ProblemsPhysical Review Letters, 1975
- Wilson theory for 2-dimensional Ising spin systemsPhysica, 1974
- Correlations in Ising Ferromagnets. II. External Magnetic FieldsJournal of Mathematical Physics, 1967