Ultrasonic experiments performed on a three-dimensional percolating system made from sintered copper powder show a rapid increase in the attenuation, corresponding to a sudden decrease in the localization length for vibrations, at wavelengths approaching the percolation correlation length. The data support recent theoretical predictions of a crossover from extended phonon excitations to localized fracton excitations at a length scale below which the structure has the self-similarity of a fractal system.
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Page et al. (1986) studied this question.
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