Percolation conductivity of Penrose tiling by the transfer-matrix Monte Carlo method

Filip V. Babalievski

Physica A: Statistical Mechanics and its Applications, 1992, vol. 182, issue 3, 325-330

Abstract: 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~104 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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:182:y:1992:i:3:p:325-330

DOI: 10.1016/0378-4371(92)90346-R

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