Scaling behaviour of two-dimensional polygon models
Statistical Mechanics
2008-08-28 v2
Abstract
Exactly solvable two-dimensional polygon models, counted by perimeter and area, are described by -algebraic functional equations. We provide techniques to extract the scaling behaviour of these models up to arbitrary order and apply them to some examples. These are then used to analyze the unsolved model of self-avoiding polygons, where we numerically confirm predictions about its scaling function and its first two corrections to scaling.
Cite
@article{arxiv.cond-mat/0202339,
title = {Scaling behaviour of two-dimensional polygon models},
author = {Christoph Richard},
journal= {arXiv preprint arXiv:cond-mat/0202339},
year = {2008}
}
Comments
32 pages, 1 figure; small changes in section 4; journal reference added