Unbinding of mutually avoiding random walks and two-dimensional quantum gravity

Enrico Carlon and Marco Baiesi
Phys. Rev. E 70, 066118 – Published 9 December 2004

Abstract

We analyze the unbinding transition for a two-dimensional lattice polymer in which the constituent strands are mutually avoiding random walks. At low temperatures the strands are bound and form a single self-avoiding walk. We show that unbinding in this model is a strong first order transition. The entropic exponents associated with denaturated loops and end-segment distributions show sharp differences at the transition point and in the high temperature phase. Their values can be deduced from some exact arguments relying on a conformal mapping of copolymer networks into a fluctuating geometry, i.e., in the presence of quantum gravity. An excellent agreement between analytical and numerical estimates is observed for all cases analyzed.

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  • Received 7 May 2004

DOI:https://doi.org/10.1103/PhysRevE.70.066118

©2004 American Physical Society

Authors & Affiliations

Enrico Carlon1 and Marco Baiesi2

  • 1Interdisciplinary Research Institute c∕o IEMN, Cité Scientifique, Boîte Postale 69, F-59652 Villeneuve d’Ascq, France
  • 2INFM Dipartimento di Fisica, via Marzolo 8, I-35131 Padova, Italy

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Issue

Vol. 70, Iss. 6 — December 2004

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