Stability of the decagonal quasicrystal in the Lennard-Jones-Gauss system

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dc.creatorEngel, Michael
dc.creatorTrebin, Hans-Rainer
dc.date2007-09-27
dc.date2008-06-30
dc.date.accessioned2026-07-07T12:58:17Z
dc.date.available2026-07-07T12:58:17Z
dc.descriptionAlthough quasicrystals have been studied for 25 years, there are many open questions concerning their stability: What is the role of phason fluctuations? Do quasicrystals transform into periodic crystals at low temperature? If yes, by what mechanisms? We address these questions here for a simple two-dimensional model system, a monatomic decagonal quasicrystal, which is stabilized by the Lennard-Jones-Gauss potential in thermodynamic equilibrium. It is known to transform to the approximant Xi, when cooled below a critical temperature. We show that the decagonal phase is an entropically stabilized random tiling. By determining the average particle energy for a series of approximants, it is found that the approximant Xi is the one with lowest potential energy.
dc.description7 pages, 2 figures, Proceedings of Quasicrystals - The Silver Jubilee
dc.identifierhttps://arxiv.org/abs/0709.4399
dc.identifierhttp://arxiv.org/abs/0709.4399
dc.identifierPhilosophical Magazine 88, 1959-1965 (2008)
dc.identifierdoi:10.1080/14786430802132548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225191
dc.subjectOther Condensed Matter
dc.titleStability of the decagonal quasicrystal in the Lennard-Jones-Gauss system
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