Dynamic structure factor of vibrating fractals

Shlomi Reuveni, Joseph Klafter, Rony Granek*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


Motivated by novel experimental work and the lack of an adequate theory, we study the dynamic structure factor S(k,t) of large vibrating fractal networks at large wave numbers k. We show that the decay of S(k,t) is dominated by the spatially averaged mean square displacement of a network node, which evolves subdiffusively in time, (u →i(t)-u →i(0)) 2∼tν, where ν depends on the spectral dimension d s and fractal dimension d f. As a result, S(k,t) decays as a stretched exponential S(k,t)S(k)e -kt)ν with Γ k∼k2 /ν. Applications to a variety of fractal-like systems are elucidated.

Original languageEnglish
Article number068101
JournalPhysical Review Letters
Issue number6
StatePublished - 7 Feb 2012


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