Amorphous solids display numerous universal features in their mechanics, structure, and response. Current models assume heterogeneity in mesoscale elastic properties, but require fine-tuning in order to quantitatively explain vibrational properties. A complete model should derive the magnitude and character of elastic heterogeneity from an initially structureless medium, through a model of the quenching process during which the temperature is rapidly lowered and the solid is formed. Here we propose a field-theoretic model of a quench, and compute structural, mechanical, and vibrational observables in arbitrary dimension $d$. This allows us to relate the properties of the amorphous solid to those of the initial medium, and to those of the quench. We show that previous mean-field results are subsumed by our analysis and unify spatial fluctuations of elastic moduli, long-range correlations of inherent state stress, universal vibrational anomalies, and localized modes into one picture.
Cited by 3
Shiraishi et al., Low-frequency vibrational states in ideal glasses with random pinning
Phys. Rev. E 106, 054611 (2022) [Crossref]
Wang et al., Density of states below the first sound mode in 3D glasses
J. Chem. Phys. 157, 074502 (2022) [Crossref]
Ikeda et al., Vibrational density of states of jammed packing at high dimensions: Mean-field theory
Phys. Rev. E 106, 024904 (2022) [Crossref]