Random Matrix Solution of a Polymer Collapse Model
摘要
A polymer folding model on the square lattice is constructed with attractive contact interactions of strength 1/c^2, 0<c<1. The corresponding model on a dynamical random lattice, with freely fluctuating co-ordination number at each vertex, is formulated as a random two-matrix model and an expression for the partition function of a length-L chain is derived. Numerical estimates and analytical evaluation for L \to \infty shows a third-order collapse transition at c=\sqrt{2}-1. Geometrical critical exponents are computed in each phase and interpreted. The Knizhnik-Polyakov-Zamolodchikov 2D quantum gravity scaling relations are used to predict the corresponding behaviour on the regular lattice, which lies in a different universality class from the percolation Theta-point of Duplantier and Saleur.
引用
@article{arxiv.cond-mat/9502118,
title = {Random Matrix Solution of a Polymer Collapse Model},
author = {S. Dalley},
journal= {arXiv preprint arXiv:cond-mat/9502118},
year = {2016}
}
备注
26 LaTeX pages + 6 uuencoded... figures.