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Precise calculation of the dynamical exponent of two-dimensional percolation

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Abstract

We report numerical data obtained on the special-purpose computer PERCOLA for the exponent\(\tilde t\) of the electrical conductivity of 2D percolation. The extrapolation yields\(\tilde t = 0.9745 \pm 0.0015\) and a correction to the scaling exponentω=1.2±0.2.

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Authors and Affiliations

  1. Service de Physique Théorique de Saclay, Laboratoire de l'Institut de Recherche Fondamentale du Commissariat l'Energie Atomique, F-91191, Gif-sur-Yvette, France

    J. -M. Normand & H. J. Herrmann

  2. Service d'Electronique et d'Informatique des Particules Elémentaires de Saclay, Laboratoire de l'Institut de Recherche Fondamentale du Commissariat á l'Energie Atomique, F-91191, Gif-sur-Yvette, France

    M. Hajjar

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  1. J. -M. Normand
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  2. H. J. Herrmann
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  3. M. Hajjar
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Normand, J.M., Herrmann, H.J. & Hajjar, M. Precise calculation of the dynamical exponent of two-dimensional percolation. J Stat Phys 52, 441–446 (1988). https://doi.org/10.1007/BF01016424

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