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

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  • Babalievski, Filip V.

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.

Suggested Citation

  • Babalievski, Filip V., 1992. "Percolation conductivity of Penrose tiling by the transfer-matrix Monte Carlo method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(3), pages 325-330.
    • Handle: RePEc:eee:phsmap:v:182:y:1992:i:3:p:325-330
    DOI: 10.1016/0378-4371(92)90346-R
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    1. Cahn, Anne H., 1984. "Mimicking Sisyphys: America's Countervailing Nuclear Strategy. By Louis Rene Beres. (Lexington, Mass.: D.C. Heath, 1983. Pp. xiii + 142. $19.95, cloth; $7.95, paper.)," American Political Science Review, Cambridge University Press, vol. 78(1), pages 265-265, March.
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