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arXiv · 2012.15719

Ioffe-Regel criterion and viscoelastic properties of amorphous solids

D. A. Conyuh·Y. M. Beltukov
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Abstract

We show that viscoelastic effects play a crucial role in the damping of vibrational modes in harmonic amorphous solids. The relaxation of a given plane wave is described by a memory function of a semi-infinite one-dimensions mass-spring chain. The initial vibrational energy spreads from the first site of the chain to infinity. In the beginning of the chain, there is a barrier, which significantly reduces the decay of vibrational energy below the Ioffe-Regel frequency. To obtain the parameters of the chain, we present a numerically stable method, based on the Chebyshev expansion of the local vibrational density of states.

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D. A. Conyuh, Y. M. Beltukov. 2020-12-31. Ioffe-Regel criterion and viscoelastic properties of amorphous solids. https://doi.org/10.1103/physreve.103.042608

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