SciPost Physics

SciPost Phys. 12, 090 (2022) · published 11 March 2022

• doi: 10.21468/SciPostPhys.12.3.090
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

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.

• Shiraishi et al., Low-frequency vibrational states in ideal glasses with random pinning
  Phys. Rev. E 106, 054611 (2022) [Crossref]
• Shiraishi et al., Non-phononic density of states of two-dimensional glasses revealed by random pinning
  158, 174502 (2023) [Crossref]
• Wang et al., Density of states below the first sound mode in 3D glasses
  157, 074502 (2022) [Crossref]
• Ikeda, Bose–Einstein-like condensation of deformed random matrix: a replica approach
  J. Stat. Mech. 2023, 023302 (2023) [Crossref]
• Xu et al., Low-frequency vibrational density of states of ordinary and ultra-stable glasses
  Nat Commun 15, 1424 (2024) [Crossref]
• Ikeda et al., Vibrational density of states of jammed packing at high dimensions: Mean-field theory
  Phys. Rev. E 106, 024904 (2022) [Crossref]
• Pettinari et al., Elasticity of self-organized frustrated disordered spring networks
  Phys. Rev. E 109, 054906 (2024) [Crossref]