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Percolation thresholds and percolation conductivities of octagonal and dodecagonal quasicrystalline lattices

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  • Babalievski, F

Abstract

The octagonal and dodecagonal quaislattices were generated by means of the grid method. Monte Carlo simulation and cluster counting procedure were used for numerical determination of the site and bond percolation thresholds. Two types of connectivity called ferromagnetic and chemical were studied. The estimated site percolation thresholds are 0.5435… and 0.585… for octagonal lattice and 0.617… and 0.628… for dodecagonal lattice respectively. The obtained spanning fraction curves (for site percolation) seem to approach the 50% value at the percolation threshold. The site percolation conductivity for these lattices was studied by means of a transfer-matrix approach. The critical behavior was found to be the same as for the periodic lattices.

Suggested Citation

  • Babalievski, F, 1995. "Percolation thresholds and percolation conductivities of octagonal and dodecagonal quasicrystalline lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 245-250.
    • Handle: RePEc:eee:phsmap:v:220:y:1995:i:3:p:245-250
    DOI: 10.1016/0378-4371(95)00260-E
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    1. Sykes, J. D., 1961. "Farm Business Statistics for South East England: Supplement for 1959-60; A reference book for use in problems of Farm Management," Archive 260755, Imperial College at Wye, Department of Agricultural Sciences.
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