Loading...
Please wait, while we are loading the content...
Similar Documents
A transfer-matrix Monte Carlo study of random Penrose tilings
| Content Provider | Semantic Scholar |
|---|---|
| Author | Shaw, Laurence J. Henleyt, Christopher L. |
| Copyright Year | 2002 |
| Abstract | We investigate the entropic properties of a simple two-dimensional random quasicrystal model: a random tiling by the 36'and 72'rhombi. Applying the transfer matrix Monte Carla (TMMC) method to random tilings for the first time, we have calculated the entropy as a function of phasan strain. We confirm earlier results that the slate of zero phasan strain (i.e. ten-fold symmetry) has the largest entropy; the entropy is 0.4810 ( 5 ) per tile. In addition, by fitting the dependence ofthe entropy on the pharon strain wedetermined the three stiffness constants in the phason elasticity, one of which is not measurable by previous approaches. We compare the efficacy of the TMMC method with that of other methods. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.lassp.cornell.edu/clh/PUBS/tmmcq-91.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Elasticity (data store) Largest Monte Carlo method Phason Tiling window manager Transfer matrix |
| Content Type | Text |
| Resource Type | Article |
