Dynamic structure factor of vibrating fractals

Shlomi Reuveni, Joseph Klafter, Rony Granek

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

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
Volume108
Issue number6
DOIs
StatePublished - 7 Feb 2012

Fingerprint

Dive into the research topics of 'Dynamic structure factor of vibrating fractals'. Together they form a unique fingerprint.

Cite this