Unbinding of mutually avoiding random walks and two dimensional quantum gravity

dc.creatorCarlon, Enrico
dc.creatorBaiesi, Marco
dc.date2004-05-10
dc.date.accessioned2026-07-07T12:16:39Z
dc.date.available2026-07-07T12:16:39Z
dc.descriptionWe 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 to denaturated loops and end-segments 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 analized.
dc.description9 pages, 11 figures, revtex4
dc.identifierhttps://arxiv.org/abs/cond-mat/0405183
dc.identifierhttp://arxiv.org/abs/cond-mat/0405183
dc.identifierPhys.Rev.E70:066118,2004
dc.identifierdoi:10.1103/PhysRevE.70.066118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211869
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleUnbinding of mutually avoiding random walks and two dimensional quantum gravity
dc.typetext

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