Exact Meander Asymptotics: a Numerical Check
统计力学
2007-05-23 v1
摘要
This note addresses the meander enumeration problem: "Count all topologically inequivalent configurations of a closed planar non self-intersecting curve crossing a line through a given number of points". We review a description of meanders introduced recently in terms of the coupling to gravity of a two-flavored fully-packed loop model. The subsequent analytic predictions for various meandric configuration exponents are checked against exact enumeration, using a transfer matrix method, with an excellent agreement.
引用
@article{arxiv.cond-mat/0003008,
title = {Exact Meander Asymptotics: a Numerical Check},
author = {Philippe Di Francesco and Emmanuel Guitter and Jesper Lykke Jacobsen},
journal= {arXiv preprint arXiv:cond-mat/0003008},
year = {2007}
}
备注
48 pages, 24 figures, tex, harvmac, epsf