Abstract
A generalization of the Derrida and Vannimenus transfer-matrix Monte Carlo method has been applied to calculations of percolation conductivity in Penrose lattices. Strips with a length ∼10 4 and widths from 3 to 19 bond lengths have been used. Disregarding the differences for smaller strip widths, the results show that the percolation conductivity of a Penrose lattice is very close to that of a square lattice. The estimation of the percolation transport exponent once more confirms the universality conjecture for the 0–1 distribution of resistors. The conductivity of a four-grid based quasilattice has been numerically calculated.
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