TY - JOUR

T1 - Dynamic structure factor of vibrating fractals

AU - Reuveni, Shlomi

AU - Klafter, Joseph

AU - Granek, Rony

PY - 2012/2/7

Y1 - 2012/2/7

N2 - 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 -(Γ kt)ν with Γ k∼k2 /ν. Applications to a variety of fractal-like systems are elucidated.

AB - 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 -(Γ kt)ν with Γ k∼k2 /ν. Applications to a variety of fractal-like systems are elucidated.

UR - http://www.scopus.com/inward/record.url?scp=84856759480&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.108.068101

DO - 10.1103/PhysRevLett.108.068101

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C2 - 22401123

AN - SCOPUS:84856759480

SN - 0031-9007

VL - 108

JO - Physical Review Letters

JF - Physical Review Letters

IS - 6

M1 - 068101

ER -