PERCOLATION CONDUCTIVITY OF PENROSE TILING BY THE TRANSFER-MATRIX MONTE-CARLO METHOD

A generalization of the Derrida and Vannimenus transfer-matrix Monte Carlo method has been applied to calculations of the percolation conductivity in a Penrose tiling. Strips with a length approximately 10(4) and widths from 3 to 19 have been used. Disregarding the differences for smaller strip widths (up to 7), the results show that the percolative conductivity of a Penrose tiling has a value very close to that of a square lattice. The estimate for the percolation transport exponent once more confirms the universality conjecture for the 0-1 distribution of resistors.