Cluster maximization, non-locality, and random tilings
| dc.creator | Henley, C. L. | |
| dc.date | 1997-07-30 | |
| dc.date.accessioned | 2026-07-07T03:09:08Z | |
| dc.date.available | 2026-07-07T03:09:08Z | |
| dc.description | Jeong and Steinhardt (JS) implement local rules by selecting the sub-ensemble of tilings which have the maximum occurrences of a chosen pattern (``cluster'') C It is unknown how to prove that a given C implies a given sub-ensemble; counterexamples given here demonstrate this problem is nonlocal, and show the JS results depend on periodic boundary conditions. Sub-ensembles which are tilings of supertiles are at least as interesting, mathematically and physically, as the ideal cases emphasized by JS; the case C = star-decagon is explored here. Finally, I suggest minimizing the frequency of chosen intersite distances as a more physical alternative to the cluster approach. | |
| dc.description | 4 pages, LaTeX; two eps figures; to appear, Proceedings of the 6th International Conference on Quasicrystals (Tokyo, 1997) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9707326 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9707326 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27769 | |
| dc.subject | Condensed Matter | |
| dc.title | Cluster maximization, non-locality, and random tilings | |
| dc.type | text |