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Percolation in two-dimensional quasicrystals by Monte Carlo simulations
| Content Provider | Scilit |
|---|---|
| Author | Sakamoto, S. Yonezawa, F. Aoki, K. Nose, S. Hori, M. |
| Copyright Year | 1989 |
| Description | Journal: Journal of Physics A: General Physics The authors examine whether or not two-dimensional quasi-periodic lattices belong to the same 'universality' class as periodic lattices, and they study bond and site percolation in Penrose tiling and its dual lattice by making use of Monte Carlo simulations. For the sake of comparison, they also investigate percolation in periodic systems such as a square, Kagome and dice lattice. For all these lattices, they evaluate several critical exponents such as alpha related to the total number of clusters, beta related to the percolation strength, gamma related to the mean cluster size, nu related to the correlation length, tau related to cluster sizes, and the fractal dimension D. Their results indicate that universality holds in two-dimensional lattices with or without periodicity where the coordination number could be either single-valued or multi-valued. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/22/14/010/pdf |
| Ending Page | L709 |
| Page Count | 5 |
| Starting Page | L705 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/22/14/010 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 14 |
| Volume Number | 22 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1989-07-21 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Condensed Matter Physics Mathematical Physics Monte Carlo Simulation Critical Exponent Fractal Dimension Coordination Number |
| Content Type | Text |
| Resource Type | Article |
