TY - JOUR
T1 - Dynamic structure factor of a deterministic fractal
AU - Sivan, U.
AU - Blumenfeld, R.
AU - Meir, Y.
AU - Entin-Wohlman, O.
PY - 1988/10/1
Y1 - 1988/10/1
N2 - A novel recursion method is devised for the calculation of the vibration Green’s function of a deterministic fractal. It is applied to obtain the dynamic structure factor S(q, ω), measured in scattering experiments. The structure factor is analysed as a function of both frequency and momentum 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. Our results confirm predictions based upon the fracton scaling model.
AB - A novel recursion method is devised for the calculation of the vibration Green’s function of a deterministic fractal. It is applied to obtain the dynamic structure factor S(q, ω), measured in scattering experiments. The structure factor is analysed as a function of both frequency and momentum 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. Our results confirm predictions based upon the fracton scaling model.
UR - http://www.scopus.com/inward/record.url?scp=84956139648&partnerID=8YFLogxK
U2 - 10.1209/0295-5075/7/3/011
DO - 10.1209/0295-5075/7/3/011
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AN - SCOPUS:84956139648
SN - 0295-5075
VL - 7
SP - 249
EP - 253
JO - Journal de Physique (Paris), Lettres
JF - Journal de Physique (Paris), Lettres
IS - 3
ER -