Meanders: A Direct Enumeration Approach
High Energy Physics - Theory
2007-05-23 v1
Abstract
We study the statistics of semi-meanders, i.e. configurations of a set of roads crossing a river through n bridges, and possibly winding around its source, as a toy model for compact folding of polymers. By analyzing the results of a direct enumeration up to n=29, we perform on the one hand a large n extrapolation and on the other hand we reformulate the available data into a large q expansion, where q is a weight attached to each road. We predict a transition at q=2 between a low-q regime with irrelevant winding, and a large-q regime with relevant winding.
Keywords
Cite
@article{arxiv.hep-th/9607039,
title = {Meanders: A Direct Enumeration Approach},
author = {P. Di Francesco and O. Golinelli and E. Guitter},
journal= {arXiv preprint arXiv:hep-th/9607039},
year = {2007}
}
Comments
uses harvmac (l), epsf, 16 figs included, uuencoded, tar compressed