Three-dimensional terminally attached self-avoiding walks and bridges
Statistical Mechanics
2016-10-06 v2 Mathematical Physics
math.MP
Abstract
We study terminally attached self-avoiding walks and bridges on the simple cubic lattice, both by series analysis and Monte Carlo methods. We provide strong numerical evidence supporting a scaling relation between self-avoiding walks, bridges, and terminally attached self-avoiding walks, and posit that a corresponding amplitude ratio is a universal quantity.
Keywords
Cite
@article{arxiv.1504.02085,
title = {Three-dimensional terminally attached self-avoiding walks and bridges},
author = {Nathan Clisby and Andrew R. Conway and Anthony J. Guttmann},
journal= {arXiv preprint arXiv:1504.02085},
year = {2016}
}
Comments
26 pages, 11 figures