Stacked triangular lattice: Percolation properties
Statistical Mechanics
2013-03-12 v2 Computational Physics
Abstract
The stacked triangular lattice has the shape of a triangular prism. In spite of being considered frequently in solid state physics and materials science, its percolation properties have received few attention. We investigate several non-universal percolation properties on this lattice using Monte Carlo simulation. We show that the percolation threshold is for bonds and for sites. The number of clusters at the threshold per site is and . The stacked triangular lattice is a convenient choice to study the RGB model [Sci. Rep. {\bf 2}, 751 (2012)]. We present results on this model and its scaling behavior at the percolation threshold.
Cite
@article{arxiv.1302.0484,
title = {Stacked triangular lattice: Percolation properties},
author = {K. J. Schrenk and N. A. M. Araujo and H. J. Herrmann},
journal= {arXiv preprint arXiv:1302.0484},
year = {2013}
}