Quasi-localized vibrational modes, Boson peak and sound attenuation in model mass-spring networks

Abstract

We introduce an algorithm that constructs disordered mass-spring networks whose elastic properties mimic that of glasses by tuning the fluctuations of the local elastic properties, keeping fixed connectivity and controlling the prestress. In two dimensions, the algorithm reproduces the dependence of gasses' vibrational properties, such as quasi-localised vibrational modes and Boson peak, on the degree of stability. The sound attenuation displays Rayleigh scattering and disorder-broadening regimes at different frequencies, and the attenuation rate increases with increased stability. Our results establish a strong connection between the vibrational features of disordered solids and the fluctuations of the local elastic properties and provide a new approach to investigating glasses' vibrational anomalies.

Submission to SciPost

References in corpus (8)

• Excess Vibrational Modes and the Boson Peak in Model Glasses
• Acoustic excitations and elastic heterogeneities in disordered solids
• Boson-peak vibrational modes in glasses feature hybridized phononic and quasilocalized excitations
• Unifying description of the vibrational anomalies of amorphous materials
• Microscopic analysis of sound attenuation in low-temperature amorphous solids reveals quantitative importance of non-affine effects
• Role of disorder in determining the vibrational properties of mass-spring networks
• Disorder-induced vibrational anomalies from crystalline to amorphous solids
• Emergence of linear isotropic elasticity in amorphous and polycrystalline materials

Cited by in corpus (4)

• Non-phononic density of states of two-dimensional glasses revealed by random pinning
• The anomalous density of states and quasi-localized vibration through homogeneous thermalization of an inhomogeneous elastic system
• Anomalous frequency scaling of acoustic phonon damping in nickel cavities fabricated by ps-laser delamination
• Resonant Coupling and the Non-Phononic Flat Band in Amorphous Solids