Dynamic structure factor of a deterministic fractal

U. Sivan; R. Blumenfeld; Y. Meir; O. Entin-Wohlman

doi:10.1209/0295-5075/7/3/011

Dynamic structure factor of a deterministic fractal

U. Sivan, R. Blumenfeld, Y. Meir, O. Entin-Wohlman

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

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 q_max∝ω^2/2+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.

Original language	English
Pages (from-to)	249-253
Number of pages	5
Journal	EPL
Volume	7
Issue number	3
DOIs	https://doi.org/10.1209/0295-5075/7/3/011
State	Published - 1 Oct 1988
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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AU - Meir, Y.

AU - Entin-Wohlman, O.

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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.

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Dynamic structure factor of a deterministic fractal

Abstract

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