Year: 1995
Type: article
Abstract: 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 coordination 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 infinity show a third-order collapse transition at c= square root 2-1. Geometrical critical exponents are computed in each phase and interpreted. The Knizhnik-Polyakov-Zamolodchikov two-dimensional 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 (1987).
Author: S Dalley
Institution: University of Oxford
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Funder: Aspen Center for Physics
OpenAlex ID: W2035043872