Confirmation of the random tiling hypothesis for a decagonal quasicrystal.

@article{Kiselev2012ConfirmationOT,
  title={Confirmation of the random tiling hypothesis for a decagonal quasicrystal.},
  author={Alexander V. Kiselev and Michael Engel and Hans-Rainer Trebin},
  journal={Physical review letters},
  year={2012},
  volume={109 22},
  pages={
          225502
        }
}
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 is applied for the configurational part. When lowering the temperature, a phase transition to an… 

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