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A new Monte Carlo simulation for two models of self-avoiding lattice trees in two dimensions

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Abstract

By means of a new Monte Carlo sampling of a grand canonical ensemble, we verify universality for the critical exponentsθ andν of two models of lattice trees constrained to be self-avoiding on sites or on bonds. The attrition constants are also obtained. This algorithm, a generalization of that recently proposed by Berretti and Sokal for random walks, appears to optimize the critical slowing down in the scaling region. Systematic and statistical errors are carefully estimated.

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Author notes

  1. Sergio Caracciolo

    Present address: Scuola Normale Superiore, Pisa

  2. Ueli Glaus

    Present address: Sezione di Pisa, INFN, 56100, Pisa, Italy

Authors and Affiliations

  1. Institute for Advanced Study, 08540, Princeton, New Jersey

    Sergio Caracciolo

  2. ETH-Hönggerberg, CH-8093, Zürich, Switzerland

    Ueli Glaus

Authors
  1. Sergio Caracciolo
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  2. Ueli Glaus
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Caracciolo, S., Glaus, U. A new Monte Carlo simulation for two models of self-avoiding lattice trees in two dimensions. J Stat Phys 41, 95–114 (1985). https://doi.org/10.1007/BF01020605

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  • DOI: https://doi.org/10.1007/BF01020605

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