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Correction to scaling for directed branched polymers (lattice animals)

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Zeitschrift für Physik B Condensed Matter

Abstract

Correction to scaling effects for the directed branched polymer (lattice animal) problem are calculated both from the field theoretic model due to Day and Lubensky (dynamics at the Yang-Lee edge singularity) and enumeration data. The universal correction to scaling exponent for the number of distinct animal configurations is estimated by numerical methods and field theoretic renormalization group results (ε=7−d expansion) extrapolated to exact results ford=2 andd=3; estimates of nonuniversal amplitudes are included.

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Authors and Affiliations

  1. Institut für Theoretische Physik III der Universität, Universitätsstrasse 1 Gebäude 25.32, D-4000, Düsseldorf, Federal Republic of Germany

    N. Breuer

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  1. N. Breuer
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Breuer, N. Correction to scaling for directed branched polymers (lattice animals). Z. Physik B - Condensed Matter 54, 169–174 (1984). https://doi.org/10.1007/BF01388068

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  • DOI: https://doi.org/10.1007/BF01388068

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