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Transfer matrix calculation of the exponent γ for two-dimensional self-avoiding walks

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Abstract

We develop two independent transfer matrix methods for the determination of the exponentγ in the two-dimensional, self-avoiding walk problem. Our first method is based on the calculation of the correlation length and uses conformal invariance. Our second method is based on the direct calculation of the moments of the order parameter distribution. Our results are in good agreement with the conjectured values.

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Authors and Affiliations

  1. Service de Physique Théorique CEA-SACLAY, 91191, Gif-sur-Yvette Cedex, France

    H. Saleur & B. Derrida

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  1. H. Saleur
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  2. B. Derrida
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Saleur, H., Derrida, B. Transfer matrix calculation of the exponent γ for two-dimensional self-avoiding walks. J Stat Phys 44, 225–235 (1986). https://doi.org/10.1007/BF01010914

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  • DOI: https://doi.org/10.1007/BF01010914

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