Unbinding of mutually avoiding random walks and two dimensional quantum gravity
arXiv:cond-mat/0405183 · doi:10.1103/PhysRevE.70.066118
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 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.
arXiv comment9 pages, 11 figures, revtex4
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