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Surface structure for three-dimensional percolation clusters abovep c

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the surface behaviour of very large percolation clusters above the critical concentrationp c by considering the width and the analogue of surface tension of the interface separating the interior of the cluster from the outside region. Our Monte Carlo simulation techniques, which are described in detail, are applied to a quadraticL ×L surface layer on the simple cubic lattice, withL up to 200. They give clearly a rough surface even for the highest concentrationsp. The data forp=1 suggest a logarithmic divergence for the interface width in the thermodynamic limitL→∞.

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität zu Köln, Köln, Federal Republic of Germany

    H. Franke

  2. Bach 16, D-5204, Lohmar 1, Federal Republic of Germany

    H. Franke

Authors
  1. H. Franke
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Franke, H. Surface structure for three-dimensional percolation clusters abovep c . Z. Physik B - Condensed Matter 45, 247–253 (1982). https://doi.org/10.1007/BF01302987

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  • DOI: https://doi.org/10.1007/BF01302987

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