Sound attenuation and anharmonic damping in solids with correlated disorder

We study via self-consistent Born approximation a model for sound waves in a disordered environment, in which the local fluctuations of the shear modulus G are spatially correlated with a certain correlation length ξ. The theory predicts an enhancement of the density of states over Debye's ω2 l...

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Дата:2010
Автори: Schirmacher, W., Tomaras, C., Schmid, B., Baldi, G., Viliani, G., Ruocco, G., Scopigno, T.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2010
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/32096
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Sound attenuation and anharmonic damping in solids with correlated disorder / W. Schirmacher, C. Tomaras, B. Schmid, G. Baldi, G. Viliani, G. Ruocco, T. Scopigno // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23606: 1-6. — Бібліогр.: 21 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-32096
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spelling irk-123456789-320962012-04-09T12:18:24Z Sound attenuation and anharmonic damping in solids with correlated disorder Schirmacher, W. Tomaras, C. Schmid, B. Baldi, G. Viliani, G. Ruocco, G. Scopigno, T. We study via self-consistent Born approximation a model for sound waves in a disordered environment, in which the local fluctuations of the shear modulus G are spatially correlated with a certain correlation length ξ. The theory predicts an enhancement of the density of states over Debye's ω2 law (boson peak) whose intensity increases for increasing correlation length, and whose frequency position is shifted downwards as 1/ξ. Moreover, the predicted disorder-induced sound attenuation coefficient Γ(k) obeys a universal scaling law ξ Γ(k) = f(kξ) for a given variance of G. Finally, the inclusion of the lowest-order contribution to the anharmonic sound damping into the theory allows us to reconcile apparently contradictory recent experimental data in amorphous SiO2. 2010 Article Sound attenuation and anharmonic damping in solids with correlated disorder / W. Schirmacher, C. Tomaras, B. Schmid, G. Baldi, G. Viliani, G. Ruocco, T. Scopigno // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23606: 1-6. — Бібліогр.: 21 назв. — англ. 1607-324X PACS: 63.50.-x, 43.20.+g, 65.60.+a http://dspace.nbuv.gov.ua/handle/123456789/32096 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We study via self-consistent Born approximation a model for sound waves in a disordered environment, in which the local fluctuations of the shear modulus G are spatially correlated with a certain correlation length ξ. The theory predicts an enhancement of the density of states over Debye's ω2 law (boson peak) whose intensity increases for increasing correlation length, and whose frequency position is shifted downwards as 1/ξ. Moreover, the predicted disorder-induced sound attenuation coefficient Γ(k) obeys a universal scaling law ξ Γ(k) = f(kξ) for a given variance of G. Finally, the inclusion of the lowest-order contribution to the anharmonic sound damping into the theory allows us to reconcile apparently contradictory recent experimental data in amorphous SiO2.
format Article
author Schirmacher, W.
Tomaras, C.
Schmid, B.
Baldi, G.
Viliani, G.
Ruocco, G.
Scopigno, T.
spellingShingle Schirmacher, W.
Tomaras, C.
Schmid, B.
Baldi, G.
Viliani, G.
Ruocco, G.
Scopigno, T.
Sound attenuation and anharmonic damping in solids with correlated disorder
Condensed Matter Physics
author_facet Schirmacher, W.
Tomaras, C.
Schmid, B.
Baldi, G.
Viliani, G.
Ruocco, G.
Scopigno, T.
author_sort Schirmacher, W.
title Sound attenuation and anharmonic damping in solids with correlated disorder
title_short Sound attenuation and anharmonic damping in solids with correlated disorder
title_full Sound attenuation and anharmonic damping in solids with correlated disorder
title_fullStr Sound attenuation and anharmonic damping in solids with correlated disorder
title_full_unstemmed Sound attenuation and anharmonic damping in solids with correlated disorder
title_sort sound attenuation and anharmonic damping in solids with correlated disorder
publisher Інститут фізики конденсованих систем НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/32096
citation_txt Sound attenuation and anharmonic damping in solids with correlated disorder / W. Schirmacher, C. Tomaras, B. Schmid, G. Baldi, G. Viliani, G. Ruocco, T. Scopigno // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23606: 1-6. — Бібліогр.: 21 назв. — англ.
series Condensed Matter Physics
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