TY - JOUR
T1 - Dynamic structure factor of fractals
AU - Entin-Wohlman, O.
AU - Sivan, U.
AU - Blumenfeld, R.
AU - Meir, Y.
N1 - Funding Information:
t,lseR, l discussions with A. Aharon). R. Orhach and G. P,.-tsek are gratefull) acknot~ledged. The ~ork ,vas supported b) the fund for Basic Research admm-ister,~J h~ the Israel Academy of Sciences and Humanit:es.
PY - 1989/1/1
Y1 - 1989/1/1
N2 - The dynamic structure factor S(q,ω) of the vibrational modes of a deterministic fractal is analyzed as a function of both frequency (ω) and momentum (q) 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. The results are obtained by a novel recursion method for the calculation of the vibration Green's function of a deterministic fractal. They confirm predictions based upon the fracton scaling model.
AB - The dynamic structure factor S(q,ω) of the vibrational modes of a deterministic fractal is analyzed as a function of both frequency (ω) and momentum (q) 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. The results are obtained by a novel recursion method for the calculation of the vibration Green's function of a deterministic fractal. They confirm predictions based upon the fracton scaling model.
UR - http://www.scopus.com/inward/record.url?scp=45349112390&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(89)90177-2
DO - 10.1016/0167-2789(89)90177-2
M3 - Article
AN - SCOPUS:45349112390
SN - 0167-2789
VL - 38
SP - 93
EP - 97
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-3
ER -