Ioffe-Regel criterion and viscoelastic properties of amorphous solids
Disordered Systems and Neural Networks
2021-04-28 v1
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.
Keywords
Cite
@article{arxiv.2012.15719,
title = {Ioffe-Regel criterion and viscoelastic properties of amorphous solids},
author = {D. A. Conyuh and Y. M. Beltukov},
journal= {arXiv preprint arXiv:2012.15719},
year = {2021}
}