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 The theory predicts an enhancement of the density of states over Debye's omega(2) law (boson peak) whose intensity increases for increasing correlation length, and whose frequency position is shifted downwards as lg. Moreover, the predicted disorder-induced sound attenuation coefficient r(k) obeys a universal scaling law F(k) = f (ke) 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.

Sound attenuation and anharmonic damping in solids with correlated disorder / W., Schirmacher; C., Tomaras; B., Schmid; G., Baldi; G., Viliani; Ruocco, Giancarlo; Scopigno, Tullio. - In: CONDENSED MATTER PHYSICS. - ISSN 1607-324X. - 13:2(2010), pp. 23606-23611. [10.5488/cmp.13.23606]

Sound attenuation and anharmonic damping in solids with correlated disorder

RUOCCO, Giancarlo;SCOPIGNO, TULLIO
2010

Abstract

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 The theory predicts an enhancement of the density of states over Debye's omega(2) law (boson peak) whose intensity increases for increasing correlation length, and whose frequency position is shifted downwards as lg. Moreover, the predicted disorder-induced sound attenuation coefficient r(k) obeys a universal scaling law F(k) = f (ke) 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
sound attenuation; anharmonic interactions; vibrational properties of disordered solids; boson peak
01 Pubblicazione su rivista::01a Articolo in rivista
Sound attenuation and anharmonic damping in solids with correlated disorder / W., Schirmacher; C., Tomaras; B., Schmid; G., Baldi; G., Viliani; Ruocco, Giancarlo; Scopigno, Tullio. - In: CONDENSED MATTER PHYSICS. - ISSN 1607-324X. - 13:2(2010), pp. 23606-23611. [10.5488/cmp.13.23606]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/495110
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