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Three-dimensional self-avoiding convex polygons

M. Bousquet-Mélou and A. J. Guttmann
Phys. Rev. E 55, R6323(R) – Published 1 June 1997
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Abstract

We calculate the generating function of three-dimensional self-avoiding convex polygons. This both adds to the very short list of exactly solved three-dimensional statistical mechanics systems and illuminates the properties of self-avoiding polygons, the paradigm model of ring polymers.

  • Received 13 February 1997

DOI:https://doi.org/10.1103/PhysRevE.55.R6323

©1997 American Physical Society

Authors & Affiliations

M. Bousquet-Mélou

  • Laboratoire Bordelais de Recherche en Informatique, UniversitéBordeaux 1, 351 cours de la Libération,

A. J. Guttmann

  • Department of Mathematics and Statistics, The University of Melbourne Parkville, Victoria 3052, Australia

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Vol. 55, Iss. 6 — June 1997

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