Abstract
We discuss the fractal dimension of the infinite cluster at the percolation threshold. Using sealing theory and renormalization group we present an explicit expression for the two-point correlation function within percolation clusters. The fractal dimension is given by direct integration of this function.
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See especially Ref. 1 for a discussion of the general aspects of percolation.
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Kapitulnik, A., Gefen, Y. & Aharony, A. On the Fractal dimension and correlations in percolation theory. J Stat Phys 36, 807–814 (1984). https://doi.org/10.1007/BF01012940
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DOI: https://doi.org/10.1007/BF01012940