Dynamic structure factor of fractals

O. Entin-Wohlman*, U. Sivan, R. Blumenfeld, Y. Meir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The dynamic structure factor S(q,ω) of the vibrational modes of a deterministic fractal is analyzed as a function of both frequency (ω) and momentum (q) transfer. It is found that S(q,ω) is peaked at qmax≈ω2(2+θ), where θ is the anomalous diffusion exponent, and is a scaling function of q( 2+θ) 2/ω. The results are obtained by a novel recursion method for the calculation of the vibration Green's function of a deterministic fractal. They confirm predictions based upon the fracton scaling model.

Original languageEnglish
Pages (from-to)93-97
Number of pages5
JournalPhysica D: Nonlinear Phenomena
Issue number1-3
StatePublished - Sep 1989


FundersFunder number
Academy of Leisure Sciences


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