Unified study of viscoelasticity and sound damping in hard and soft amorphous solids
arXiv:2402.17335 · doi:10.1038/s42005-025-01933-5
Abstract
Recent research has made significant progress in understanding the non-phonon vibrational states present in amorphous materials. It has been established that their vibrational density of states follows non-Debye scaling laws. Here, we show that the non-Debye scaling laws play a crucial role in determining material properties of a broad range of amorphous solids, from ``hard" amorphous solids like structural glasses to ``soft" amorphous solids such as foams and emulsions. We propose a unified framework of viscoelasticity and sound damping for these materials. Although these properties differ significantly between hard and soft amorphous solids, they are determined by the non-Debye scaling laws. We also validate our framework using numerical simulations.
arXiv comment9 pages, 4 figures
References in corpus (44)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Yield Stress Materials in Soft Condensed Matter
- Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
- On the Rigidity of Amorphous Solids
- Continuum limit of the vibrational properties of amorphous solids
- Low-frequency vibrational modes of stable glasses
- Glass-specific behavior in the damping of acoustic-like vibrations
- Anomalous properties of the acoustic excitations in glasses on the mesoscopic length-scale
- Scaling of phononic transport with connectivity in amorphous solids
- Relationship between Rheology and Structure of Interpenetrating, Deforming and Compressing Microgels
- Relaxing in foam
- Relaxations and rheology near jamming
- Boson peak and Ioffe-Regel criterion in amorphous silicon-like materials: the effect of bond directionality
- Universal non-Debye scaling in the density of states of amorphous solids
- Acoustic excitations and elastic heterogeneities in disordered solids
- Phonon transport and vibrational excitations in amorphous solids
- Anomalous vibrational properties in the continuum limit of glasses
- Wave attenuation in glasses: Rayleigh and generalized-Rayleigh scattering scaling
- Sound attenuation in stable glasses
- Viscous forces and bulk viscoelasticity near jamming
- Atomic-scale origin of dynamic viscoelastic response and creep in disordered solids
- Theory of harmonic dissipation in disordered solids
- Elastic Moduli and Vibrational Modes in Jammed Particulate Packings
- Elastic moduli fluctuations predict wave attenuation rates in glasses
- Low-frequency vibrations of jammed packings in large spatial dimensions
- Disentangling boson peaks and Van Hove singularities in a model glass
- Contact Changes near Jamming
- Detection of boson peak and fractal dynamics of disordered system using terahertz spectroscopy
- Low-frequency excess vibrational modes in two-dimensional glasses
- Microscopic analysis of sound attenuation in low-temperature amorphous solids reveals quantitative importance of non-affine effects
- Sound damping in glasses: interplay between anharmonicities and elastic heterogeneities
- The boson peak in the vibrational spectra of glasses
- Vibrational spectrum derived from the local mechanical response in disordered solids
- A random matrix approach to the boson peak and Ioffe-Regel criterion in amorphous solids
- Theory of sound attenuation in amorphous solids from nonaffine motions
- Master equation for the probability distribution functions of forces in soft particle packings
- Rotational sound in disordered granular materials
- Impact of elastic heterogeneity on the propagation of vibrations at finite temperatures in glasses
- Contact Changes of Sheared Systems: Scaling, Correlations, and Mechanisms
- Vibrational phenomena in glasses at low temperatures captured by field theory of disordered harmonic oscillators
- Non-phononic density of states of two-dimensional glasses revealed by random pinning
- Sound damping in frictionless granular materials: The interplay between configurational disorder and inelasticity
- Properties of stable ensembles of Euclidean random matrices
- Effective medium theory for viscoelasticity of soft jammed solids