Comment on "Universal formulas for percolation thresholds. II. Extension to anisotropic and aperiodic lattices"

Details Comment on "Universal formulas for percolation thresholds. II. Extension to anisotropic and aperiodic lattices" Comment on "Universal formulas for percolation thresholds. II. Extension to anisotropic and aperiodic lattices"

1997-11-17

arxiv.org/abs/cond-mat/9711164v1

Physics

Condensed Matter

Statistical Mechanics

REVTeX, 2 pages, 1 Table, 1 PostScript figure; Comment to cond-mat/9706304, Phys. Rev. E 56, 322 (1997)

Scientific paper

Recently S.Galam and A.Mauger [Phys.Rev.E 56, 322 (1997); cond-mat/9706304 ] proposed an approximant which relates the bond and the site percolation threshold for a particular lattice. Their formula is based on a fit to exact and simulation results obtained earlier for different periodic and aperiodic lattices. However, the numerical result for an aperiodic dodecagonal lattice does not agree well with the proposed formula. I present here new and more precise data for this and other aperiodic lattices. The previously published value for the dodecagonal lattice is confirmed. The reason for the deviation from the Galam and Mauger approximant is discussed.

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