# Random quench predicts universal properties of amorphous solids

### Submission summary

 As Contributors: Masanari Shimada Arxiv Link: https://arxiv.org/abs/2008.11896v2 (pdf) Date submitted: 2021-09-02 05:30 Submitted by: Shimada, Masanari Submitted to: SciPost Physics Academic field: Physics Specialties: Statistical and Soft Matter Physics Approach: Theoretical

### 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. Here we propose a universal field-theoretic model of an overdamped 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.

###### Current status:
Editor-in-charge assigned