Critical surfaces for general bond percolation problems
Disordered Systems and Neural Networks
2009-11-13 v1 Statistical Mechanics
Abstract
We present a general method for predicting bond percolation thresholds and critical surfaces for a broad class of two-dimensional periodic lattices, reproducing many known exact results and providing excellent approximations for several unsolved lattices. For the checkerboard and inhomogeneous bow-tie lattices, the method yields predictions that agree with numerical measurements to more than six figures, and are possibly exact.
Keywords
Cite
@article{arxiv.0805.2985,
title = {Critical surfaces for general bond percolation problems},
author = {Christian R. Scullard and Robert M. Ziff},
journal= {arXiv preprint arXiv:0805.2985},
year = {2009}
}