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Self-avoiding-walks (SAW's) on diluted lattices, a Monte Carlo analysis

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Zeitschrift für Physik B Condensed Matter

Abstract

A Monte Carlo study of SAW's on a diluted diamond lattice is presented. We find that the exponentv does not change by dilution,v≈0.59 as in the undiluted case, in contrast to the original conclusion of Chakrabarti and Kertész. This result cannot be understood by the Harris criterion. At the percolation concentrationp c of the lattice we find a higher exponentv pc ≈2/3. A scaling form of the crossover between these exponents nearp c is proposed and found to be consistent with the Monte Carlo results.

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Authors and Affiliations

  1. Institut für Festkörperforschung der Kernforschungsanlage Jülich GmbH, Postfach 1913, D-5170, Jülich 1, Germany

    Kurt Kremer

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  1. Kurt Kremer
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Kremer, K. Self-avoiding-walks (SAW's) on diluted lattices, a Monte Carlo analysis. Z. Physik B - Condensed Matter 45, 149–152 (1981). https://doi.org/10.1007/BF01293328

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  • DOI: https://doi.org/10.1007/BF01293328

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