Abstract
A scaling assumption for the numberg ns of different cluster configurations with perimeters and sizen leads to the desired cluster numbers near the percolation threshold. The perimeter distribution function has a mean square width proportional ton for largen. The relation between the average perimeter and the cluster sizen for percolation has three different forms atp c, belowp c, and abovep c and is closely related to the shape of the cluster size distribution.
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Stauffer, D. Scaling assumption for lattice animals in percolation theory. J Stat Phys 18, 125–136 (1978). https://doi.org/10.1007/BF01014304
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DOI: https://doi.org/10.1007/BF01014304