On the Decay of Localized Vibrational States in Glasses: a one-dimensional example

TL;DR

This paper investigates how interactions among localized vibrational modes affect their lifetimes in glasses, revealing that three-mode interactions are as important as mixed interactions, supported by numerical simulations of a disordered atomic chain.

Contribution

It demonstrates that three-mode interactions significantly influence vibrational mode lifetimes, challenging previous assumptions that only two-mode interactions were relevant.

Findings

Three-mode interactions are as relevant as mixed interactions for mode lifetimes.

Numerical simulations of a disordered chain support the importance of three-mode interactions.

The study provides new insights into vibrational dynamics in disordered systems.

Abstract

The interaction between three localized vibrational modes is shown to be as relevant for the lifetimes of localized modes as the interaction involving two localized and one extended, and one localized and two extended modes. This contrasts with previous views. I support my arguments by a numerical study of a strongly disordered linear atomic chain.