Abstract

The Derrida and Vannimenus transfer-matrix method is modified in order to make it suitable for applications to quasicrystalline and some random lattices. The method is used to compare the percolative conductivities of Penrose and square lattices. It is shown that narrow strips of the Penrose lattice have higher conductivity than that of the square lattice. With widening of the strips this difference is found to decrease. A few comments on further generalizations are offered.

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