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- W2950795844 abstract "We study the attenuation of long-wavelength shear sound waves propagating through model jammed packings of frictionless soft spheres interacting with repulsive springs. The elastic attenuation coefficient, $alpha(omega)$, of transverse phonons of low frequency, $omega$, exhibits power law scaling as the packing fraction $phi$ is lowered towards $phi_c$, the critical packing fraction below which rigidity is lost. The elastic attenuation coefficient is inversely proportional to the scattering mean free path and follows Rayleigh law with $alpha(omega)sim omega^4 (phi - phi_c)^{-5/2}$ for $omega$ much less than $omega^* sim (phi - phi_c)^{1/2}$, the characteristic frequency scale above which the energy diffusivity and density of states plateau. This scaling of the attenuation coefficient, consistent with numerics, is obtained by assuming that a jammed packing can be viewed as a mosaic composed of domains whose characteristic size $ell^ * sim (phi-phi_c) ^{-1/2}$ diverges at the transition." @default.
- W2950795844 created "2019-06-27" @default.
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- W2950795844 date "2010-09-08" @default.
- W2950795844 modified "2023-09-25" @default.
- W2950795844 title "Attenuation of shear sound waves in jammed solids" @default.
- W2950795844 hasPublicationYear "2010" @default.
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