Abstract

Abstract We report a numerical study concerning the vibrational dynamics and the Raman coupling coefficient of two- and three-dimensional site-percolating structures, as well as an analysis of how to characterize the fracton wavefunctions. We discuss the difficulty of finding a scaling law for the Raman coupling coefficient in terms of the macroscopic parameters which characterize the fractal structure and dynamics; the oscillatory nature of the vibrational wavefunctions is examined.

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