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- W1969771037 abstract "We calculated the vibrational densities of states for three-dimensional Penrose tiling. Anomalous behaviour at low frequencies is observed. Two crossover frequencies omega(s) and omega(c) exist. The first can be attributed to crossover from surface phonon excitations to bulk phonon excitations, while the second is explained as crossover from phonon excitations to fracton-like excitations. The phonons follow the scaling law omega(d-1), where d is the Euclidean dimension and equals 3 and 2 for the bulk and the surface phonons, respectively. The fracton-like excitations which have a non extended character follow the scaling law omega(ds-1) where d(s) is the fracton- like dimension and is shown to equal 3 for the present case." @default.
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- W1969771037 date "1994-01-31" @default.
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- W1969771037 title "Vibrational properties of three dimensional Penrose tiling" @default.
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