Confirmation of the random tiling hypothesis for a decagonal quasicrystal
arXiv:1210.4227 · doi:10.1103/PhysRevLett.109.225502
Abstract
Mechanisms that stabilize quasicrystals are much discussed but not finally resolved. We confirm the random tiling hypothesis and its predictions in a fully atomistic decagonal quasicrystal model by calculating the free energy and the phason elastic constants over a wide range of temperatures. The Frenkel-Ladd method is applied for the phonon part and an approach of uncorrelated phason flips for the configurational part. When lowering the temperature, a phase transition to an approximant occurs. Close to the transition temperature one of the phason elastic constants becomes soft.
5 pages, 4 figures
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- Tuning the Stability of a Model Quasicrystal and its Approximants with a Periodic Substrate
- Phasonic Diffusion and Self-confinement of Decagonal Quasicrystals in Hyperspace
- Quasicrystals in the Molecular Dynamic Model of Pure Aluminum