Dynamic structure factor of a deterministic fractal

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

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


A novel recursion method is devised for the calculation of the vibration Green’s function of a deterministic fractal. It is applied to obtain the dynamic structure factor S(q, ω), measured in scattering experiments. The structure factor is analysed as a function of both frequency and momentum 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. Our results confirm predictions based upon the fracton scaling model.

Original languageEnglish
Pages (from-to)249-253
Number of pages5
JournalJournal de Physique (Paris), Lettres
Issue number3
StatePublished - 1 Oct 1988


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