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Speculations on the cluster radius below the percolation threshold

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Zeitschrift für Physik B Condensed Matter

Abstract

We suggest the average radius of percolation clusters withs sites to vary belowp c ass υ0, whereυ 0 is the exponent for the mean radius of self-avoiding walks. This result gives the desired asymptotic behavior of the correlation function for percolation (“connectivity”) and is consistent with Leath's Monte Carlo data.

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  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, D-5000, Köln, Germany

    D. Stauffer

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  1. D. Stauffer
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Stauffer, D. Speculations on the cluster radius below the percolation threshold. Z Physik B 30, 173–176 (1978). https://doi.org/10.1007/BF01320983

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  • DOI: https://doi.org/10.1007/BF01320983

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