Renormalisation-group results for bond and site percolation in two and three dimensions
- 1 October 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (10), L253-L257
- https://doi.org/10.1088/0305-4470/11/10/004
Abstract
Critical exponents and probabilities are calculated for bond and site percolation on the d=2 square lattice and the d=3 BCC lattice. The calculation exploits the relationship between the percolation problem and the s-state Potts model in the limit s to 1. The s-state Potts model is analysed using Kadanoff's variational renormalisation transformation. Results for the critical exponents and critical couplings of the s-state Potts model in the interval 0<or=s<or=1 are also presented.Keywords
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