Essential Singularity in the Percolation Model
- 16 January 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 40 (3), 133-135
- https://doi.org/10.1103/physrevlett.40.133
Abstract
It is rigorously proved that the analog of free energy for the percolation models has a singularity at zero external field as soon as percolation appears. The singularity is an essential one at least for large concentrations. Results on the asymptotic behavior of the cluster-size distribution are also obtained for percolation models and for the Ising model at low temperatures.Keywords
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