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

Authors
Citation
F. Babalievski, Comment on "Universal formulas for percolation thresholds. II. Extension to anisotropic and aperiodic lattices", PHYS REV E, 59(1), 1999, pp. 1278-1279
Citations number
6
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
59
Issue
1
Year of publication
1999
Part
B
Pages
1278 - 1279
Database
ISI
SICI code
1063-651X(199901)59:1<1278:CO"FFP>2.0.ZU;2-P
Abstract
Recently S. Galam and A. Mauger [Phys. Rev. E 56, 322 (1997)] proposed an a pproximant 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. Ho wever, the numerical result for an aperiodic dodecagonal lattice does not a gree well with the proposed formula. I present here new and more precise da ta for this and other aperiodic lattices. The previously published value fo r the dodecagonal lattice is confirmed. The reason for the deviation from t he Galam and Mauger approximant is discussed. [S1063-651X(99)09101-1].