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

Engel M, Trebin HR (2008)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2008

Journal

Philosophical Magazine Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis

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

Abstract

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.

Authors with CRIS profile

Michael Engel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

Universität Stuttgart DE Germany (DE)

How to cite

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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