Comment on "Universal formulas for percolation thresholds. II. Extension to anisotropic and aperiodic lattices"
F. Babalievski
Abstract
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.
Create a lesson
Related papers
Maximum entropy explanation for the ubiquity of power-law mechanical responses
Sverre Holm
Thermodynamic Bethe Ansatz for the Toda chain from inverse scattering transform
Alberto Brollo
Lattice spin systems coupled to a compact U(1) gauge field with negative gauge coupling favoring frustration
Claudio Bonati, Ettore Vicari
The Inverse Mean First-Passage Time Problem
Tommer D. Keidar, Shlomi Reuveni, Igor M. Sokolov
Restricted triangular ice beyond the solvable manifolds: chiral ice and the critical region of dominant chiral vertices
Josep Batle
Establishing Néel order in the square-lattice antiferromagnetic Heisenberg model: a bootstrap proof
Nisarg Chadha, Taige Wang, Pavel A. Nosov et al.