Percolation and scaling on a quasilattice
@article{Lu1987PercolationAS,
title={Percolation and scaling on a quasilattice},
author={Jian Ping Lu and Joseph L. Birman},
journal={Journal of Statistical Physics},
year={1987},
volume={46},
pages={1057-1066}
}We report results of a study of percolation on a two-dimensional Penrose quasilattice. After an extensive numerical analysis, we find that two-dimensional universality is obeyed. The scaling exponentsσ andτ have the values expected,τ=2.04 andσ=0.39, consistent with the universality class for percolation on a 2D periodic lattice. But the percolation thresholdpc=0.483, differs from other 2D lattices with the same average coordination number ¯z=4.
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