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On the Fractal dimension and correlations in percolation theory |
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| Authors: | A. Kapitulnik Y. Gefen A. Aharony |
| Affiliation: | (1) Institute for Polymers and Organic Solids, University of California at Santa Barbara, 93106, California;(2) Institute for Theoretical Physics, University of California at Santa Barbara, 93106, California;(3) Department of Physics and Astronomy, Tel Aviv University, 69978 Tel Aviv, Israel |
| 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.See especially Ref. 1 for a discussion of the general aspects of percolation. |
| Keywords: | Fractals percolation |
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