The stability of the 2D Penrose pattern: molecular dynamics study

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Abstract
The stability of the 2D Penrose pattern was studied by the molecular dynamics method. The potential used here is the Lennard-Jones type, the parameters of which were determined to stabilise the FCC(111) structure. All the systems studied are unstable and decompose into the FCC(111) structure; the system of 76 atoms changed into the single crystal, namely the FCC(111), and the other systems became polycrystals. The diffraction patterns were calculated at several stages of the relaxation process. At an early stage of relaxation the pattern shows fivefold symmetry and then the halo pattern, and finally shows sixfold symmetry. The crystallisation process, in which the metastable phase appeared, was clearly observed before reaching the final equilibrium structure.

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