Unbinding of mutually avoiding random walks and two dimensional quantum gravity

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

2004-05-10

arxiv.org/abs/cond-mat/0405183v1

Phys.Rev.E70:066118,2004

Physics

Condensed Matter

Statistical Mechanics

9 pages, 11 figures, revtex4

Scientific paper

10.1103/PhysRevE.70.066118

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.

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