Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions
Statistical Mechanics
2009-11-07 v1 Mathematical Physics
math.MP
Abstract
Motivated by recent claims of a proof that the length scale exponent for the end-to-end distance scaling of self-avoiding walks is precisely , we present results of large-scale simulations of self-avoiding walks and self-avoiding trails with repulsive contact interactions on the hypercubic lattice. We find no evidence to support this claim; our estimate is in accord with the best previous results from simulations.
Cite
@article{arxiv.cond-mat/0108538,
title = {Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions},
author = {T. Prellberg},
journal= {arXiv preprint arXiv:cond-mat/0108538},
year = {2009}
}