Determination of the bond percolation threshold for the Kagome lattice
Disordered Systems and Neural Networks
2009-10-30 v1
Abstract
The hull-gradient method is used to determine the critical threshold for bond percolation on the two-dimensional Kagome lattice (and its dual, the dice lattice). For this system, the hull walk is represented as a self-avoiding trail, or mirror-model trajectory, on the (3,4,6,4)-Archimedean tiling lattice. The result pc = 0.524 405 3(3) (one standard deviation of error) is not consistent with the previously conjectured values.
Keywords
Cite
@article{arxiv.cond-mat/9707110,
title = {Determination of the bond percolation threshold for the Kagome lattice},
author = {Robert M. Ziff and Paul N. Suding},
journal= {arXiv preprint arXiv:cond-mat/9707110},
year = {2009}
}
Comments
10 pages, TeX, Style file iopppt.tex, to be published in J. Phys. A. in August, 1997