Calculation of the connective constant for self-avoiding walks via the pivot algorithm
Statistical Mechanics
2015-04-09 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We calculate the connective constant for self-avoiding walks on the simple cubic lattice to unprecedented accuracy, using a novel application of the pivot algorithm. We estimate that \mu = 4.684 039 931(27). Our method also provides accurate estimates of the number of self-avoiding walks, even for walks with millions of steps.
Cite
@article{arxiv.1302.2106,
title = {Calculation of the connective constant for self-avoiding walks via the pivot algorithm},
author = {Nathan Clisby},
journal= {arXiv preprint arXiv:1302.2106},
year = {2015}
}
Comments
10 pages, 3 figures