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Computer Simulation Studies in Condensed-Matter Physics XII pp 129–146Cite as

Incipient Spanning Clusters in Square and Cubic Percolation

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 85))

Abstract

The analysis of extensive numerical data for the percolation proba¬bilities of incipient spanning clusters in two dimensional percolation at criticality are presented. We developed an effective code for the single-scan version of the Hoshen-Kopelman algorithm. We measured the probabilities on the square lattice forming samples of rectangular strips with widths from 8 to 256 sites and lengths up to 3200 sites. At total of more than 1015 random numbers are generated for the sampling procedure. Our data confirm the proposed exact formulaes for the prob¬ability exponents conjectured recently on the base of 2D conformal field theory. Some preliminary results for 3D percolation are also discussed.

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Author information

Authors and Affiliations

  1. Landau Institute for Theoretical Physics, 142432, Chernogolovka, Russia

    L. N. Shchur

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  1. L. N. Shchur
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Editor information

Editors and Affiliations

  1. Center for Simulational Physics, The University of Georgia, 30602-3451, Athens, GA, USA

    David P. Landau Ph.D. (Professor), Steven P. Lewis Ph.D. (Professor) & Heinz-Bernd Schüttler Ph.D. (Professor) (Professor),  (Professor) &  (Professor)

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© 2000 Springer-Verlag

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Shchur, L.N. (2000). Incipient Spanning Clusters in Square and Cubic Percolation. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XII. Springer Proceedings in Physics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59689-6_12

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  • DOI: https://doi.org/10.1007/978-3-642-59689-6_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64086-5

  • Online ISBN: 978-3-642-59689-6

  • eBook Packages: Springer Book Archive

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