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Precise Determination Of The Conductivity Exponent Of 3d Percolation Using "Percola"

Author

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  • JEAN-MARIE NORMAND

    (CEA, Service de Physique Théorique, CE-Saclay, F-91191 Gif-sur-Yvette Cedex, France)

  • HANS J. HERRMANN

    (P.M.M.H., E.S.P.C.I., 10 rue Vauquelin, 75231 Paris Cedex 05, France)

Abstract

Using 20 months of CPU time on our special purpose computer "Percola" we determined the exponent for the normal conductivity at the threshold of three-dimensional site and bond percolation. The extrapolation analysis taking into account the first correction to scaling gives a value oft/ν = 2.26±0.04and a correction exponent ω around 1.4.

Suggested Citation

  • Jean-Marie Normand & Hans J. Herrmann, 1995. "Precise Determination Of The Conductivity Exponent Of 3d Percolation Using "Percola"," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 6(06), pages 813-817.
    • Handle: RePEc:wsi:ijmpcx:v:06:y:1995:i:06:n:s0129183195000678
    DOI: 10.1142/S0129183195000678
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    Cited by:

    1. Kozlov, B. & Laguës, M., 2010. "Universality of 3D percolation exponents and first-order corrections to scaling for conductivity exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5339-5346.

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