Percolation thresholds and percolation conductivities of octagonal and dodecagonal quasicrystalline lattices

✍ Scribed by F Babalievski

• Book ID: 103896048
• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 309 KB
• Volume: 220
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(95)00260-e

✦ Synopsis

The octagonal and dodecagonal quasilattices 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 transfermatrix approach. The critical behavior was found to be the same as for the periodic lattices.