title: Dynamic structure factor of vibrating fractals.
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[over →](i)(t)-u[over →](i)(0))(2))∼t(ν), 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(-(Γ(k)t)(ν)) with Γ(k)∼k(2/ν). Applications to a variety of fractal-like systems are elucidated.
authors.affiliation: School of Chemistry, Tel-Aviv University, Tel-Aviv, Israel.
authors.forename: Shlomi
authors.initials: S
authors.lastname: Reuveni
authors.forename: Joseph
authors.initials: J
authors.lastname: Klafter
authors.forename: Rony
authors.initials: R
authors.lastname: Granek
mesh_terms: D017709:Fractals; D008962:Models, Theoretical; D014732:Vibration