Percolation and scaling on a quasilattice

  title={Percolation and scaling on a quasilattice},
  author={Jian Ping Lu and Joseph L. Birman},
  journal={Journal of Statistical Physics},
  • J. LuJ. Birman
  • Published 1 March 1987
  • Physics
  • Journal of Statistical Physics
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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