Mean number of clusters for percolation processes in two dimensions
- 1 October 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (10) , L137-L140
- https://doi.org/10.1088/0305-4470/9/10/004
Abstract
Uses a transformation suggested recently by Zwanzig and Ramshaw (1976) on the series expansion for the mean number of clusters in the square bond and triangular site percolation problems. The new series are smooth and well behaved, and the authors estimate critical exponents and amplitudes. A value of -0.668+or-0.004 is found for the exponent alpha P, which is close to the rational fraction -2/3.Keywords
This publication has 4 references indexed in Scilit:
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- Exact Critical Percolation Probabilities for Site and Bond Problems in Two DimensionsJournal of Mathematical Physics, 1964
- Some generalized order-disorder transformationsMathematical Proceedings of the Cambridge Philosophical Society, 1952