Abstract
We performed Monte Carlo simulation of the aggregation process of a two-component Lennard-Jones system on the two-dimensional (2D) Penrose lattice for the purpose of studying the details of the creation and growth process of quasi crystals. We adopted the potential parameter values proposed by Widom et al. [Phys. Rev. Lett. 58 (1987) 706]. The present simulation clarified that the stability of the formed quasi crystals depends on temperature and the strength of the potential and that the transition from solid state to liquid state occurs when the value of the inverse of the dimensionless temperature is approximately 4.0.
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