Scaling function and universal amplitude combinations for self-avoiding polygons
统计力学
2009-11-07 v2 高能物理 - 理论
数学物理
math.MP
摘要
We analyze new data for self-avoiding polygons, on the square and triangular lattices, enumerated by both perimeter and area, providing evidence that the scaling function is the logarithm of an Airy function. The results imply universal amplitude combinations for all area moments and suggest that rooted self-avoiding polygons may satisfy a -algebraic functional equation.
引用
@article{arxiv.cond-mat/0107329,
title = {Scaling function and universal amplitude combinations for self-avoiding polygons},
author = {C. Richard and A. J. Guttmann and I. Jensen},
journal= {arXiv preprint arXiv:cond-mat/0107329},
year = {2009}
}
备注
9 pages