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Quasi-localized vibrational modes, Boson peak and sound attenuation in model mass-spring networks

by Shivam Mahajan, Massimo Pica Ciamarra

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Submission summary

Authors (as registered SciPost users): Massimo Pica Ciamarra
Submission information
Preprint Link: https://arxiv.org/abs/2211.01137v4  (pdf)
Date accepted: 2023-06-15
Date submitted: 2023-04-17 03:04
Submitted by: Pica Ciamarra, Massimo
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Statistical and Soft Matter Physics
Approaches: Theoretical, Computational

Abstract

We introduce an algorithm that constructs disordered mass-spring networks whose elastic properties mimic that of glasses by tuning the fluctuations of the local elastic properties, keeping fixed connectivity and controlling the prestress. In two dimensions, the algorithm reproduces the dependence of gasses' vibrational properties, such as quasi-localised vibrational modes and Boson peak, on the degree of stability. The sound attenuation displays Rayleigh scattering and disorder-broadening regimes at different frequencies, and the attenuation rate increases with increased stability. Our results establish a strong connection between the vibrational features of disordered solids and the fluctuations of the local elastic properties and provide a new approach to investigating glasses' vibrational anomalies.

Author comments upon resubmission

We are submitting V4 to solve a technical glitch. This version is identical to V3.

Published as SciPost Phys. 15, 069 (2023)

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