Dependence of the percolation threshold on the size of the percolating species.

V. CORNETTE; A. J. RAMIREZ-PASTOR; F. NIETO

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Año: 2003 vol. 327 p. 71 - 75

0378-4371

Site and bond percolation of k-mers ofdi-erent structures and forms deposited on 2-D regular lattices is studied. In addition, the percolation threshold for percolating k-mers on a Bethe lattice is analytically obtained. By using 1nite-size scaling theory, the analysis ofthe results is performed in order to determine the behavior ofthe percolation threshold which exhibits an exponential decrease with the k-mer size. Characteristic parameters ofthat function are dependent not only on the form and structure of k-mers but also on the properties ofthe lattice where they are deposited. An expression for the percolation threshold as a function of the parameters of the problem is proposed and discussed.k-mers ofdi-erent structures and forms deposited on 2-D regular lattices is studied. In addition, the percolation threshold for percolating k-mers on a Bethe lattice is analytically obtained. By using 1nite-size scaling theory, the analysis ofthe results is performed in order to determine the behavior ofthe percolation threshold which exhibits an exponential decrease with the k-mer size. Characteristic parameters ofthat function are dependent not only on the form and structure of k-mers but also on the properties ofthe lattice where they are deposited. An expression for the percolation threshold as a function of the parameters of the problem is proposed and discussed.k-mers on a Bethe lattice is analytically obtained. By using 1nite-size scaling theory, the analysis ofthe results is performed in order to determine the behavior ofthe percolation threshold which exhibits an exponential decrease with the k-mer size. Characteristic parameters ofthat function are dependent not only on the form and structure of k-mers but also on the properties ofthe lattice where they are deposited. An expression for the percolation threshold as a function of the parameters of the problem is proposed and discussed.k-mer size. Characteristic parameters ofthat function are dependent not only on the form and structure of k-mers but also on the properties ofthe lattice where they are deposited. An expression for the percolation threshold as a function of the parameters of the problem is proposed and discussed.k-mers but also on the properties ofthe lattice where they are deposited. An expression for the percolation threshold as a function of the parameters of the problem is proposed and discussed.