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Random quench predicts universal properties of amorphous solids

by Masanari Shimada, Eric De Giuli

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


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Submission 2008.11896v2 on 2 September 2021

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