Abstract
From exact perimeter polynomials of Sykes et al ind=3 dimensions we determine the average perimeter 〈s n 〉 of clusters, the width of the distribution about the average value, and the numberc n of clusters containingn occupied sites each. The exponentζ, defined through log (c n ) ∝ —n ζ for largen, is found to be consistent with the predictionsζ (p < p c ) = 1 andζ (p>p c )=(d—1)/d.
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Flammang, A. Percolation cluster sizes and perimeters in three dimensions. Z Physik B 28, 47–50 (1977). https://doi.org/10.1007/BF01313949
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DOI: https://doi.org/10.1007/BF01313949