Percolation thresholds and percolation conductivities of octagonal and dodecagonal quasicrystalline lattices

F Babalievski

Physica A: Statistical Mechanics and its Applications, 1995, vol. 220, issue 3, 245-250

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.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:220:y:1995:i:3:p:245-250

DOI: 10.1016/0378-4371(95)00260-E

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