Publication
Journal of Non-Crystalline Solids
Paper

Acoustic dispersion in silica aerogels observed by brillouin scattering : Evidence for phonon-fracton crossover

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Abstract

Small angle neutron scattering and Brillouin scattering experiments have been performed in porous silica aerogels with densities ranging from 0.1 to 0.4 gcm-3. The results demonstrate the fractal structure of these materials. The fractal dimension is D = 2.40 ± 0.02. The high dispersion observed was interpreted in terms of phonon to fracton crossover. From the scaling exponents, we deduced the spectral dimension d̄ = 1.25 ± 0.12. The numerical value of these exponents raises the interesting question of whichis the proper elasticity theory to be applied to these weakly connected structures. © 1987 Elsevier Science Publishers B.V.

Date

01 Dec 1987

Publication

Journal of Non-Crystalline Solids

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