Note on the asymptotic decay of the numbers of percolation clusters |
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Authors: | W Klein D Stauffer |
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Institution: | Physics Department, Boston University, Boston, MA 02215, USA |
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Abstract: | Renormalization group principles are used to argue that the Kunz-Souillard exponents are valid for all concentrations away from the percolation threshold, i.e. that the average numbers ns of clusters containing s sites each decay as log ns ∝ -sζ (s → ∞, p fixed), with ζ = 1 for all p below pc, and ζ = 1 - 1/d for all p above pc in d dimensions. |
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