Abstract
The classical dynamics of two lattice models, periodic and aperiodic, are simulated numerically to compare their thermal properties. The periodic model is a periodic approximation of the Penrose pattern. The aperiodic model is obtained from the periodic one by shifting randomly a small fraction of the atoms in such a way that the local bond orientational order is preserved. We found that the densities of states of both models are almost identical, while their thermal conductivities as functions of temperature differ dramatically. We explain this difference by the presence of localized modes found in the aperiodic model.
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