Percolation and scaling on a quasilattice

Abstract

The authors report results of a study of percolation on a two-dimensional Penrose quasilattice. After an extensive numerical analysis, they find that two-dimensional universality is obeyed. The scaling exponents sigma and tau have the values expected, tau = 2.04 and sigma = 0.39 consistent with the universality class for percolation on a 2D periodic lattice. But the percolation threshold p/sub c/ = 0.483, differs from other 2D lattices with the same average coordination number z vector = 4.