Engel M, Trebin HR (2008)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2008
Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis
Book Volume: 88
Pages Range: 1959-1965
Journal Issue: 13-15
DOI: 10.1080/14786430802132548
Although 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.
APA:
Engel, M., & Trebin, H.-R. (2008). Stability of the decagonal quasicrystal in the Lennard-Jones-Gauss system. Philosophical Magazine, 88(13-15), 1959-1965. https://doi.org/10.1080/14786430802132548
MLA:
Engel, Michael, and Hans-Rainer Trebin. "Stability of the decagonal quasicrystal in the Lennard-Jones-Gauss system." Philosophical Magazine 88.13-15 (2008): 1959-1965.
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