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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/2211.01137v3  (pdf)
Date submitted: 2023-04-14 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

Dear Editor,

We thank the reviewer for having considered our revised manuscript.
We are glad Ref 2 considers our manuscript suitable for publication and that Ref 1 considers our manuscript deserving of publication after clarifying a few points.

We have clarified these points in the revised manuscript and provided a detailed reply to the comments by Ref 1.

Sincerely,
Massimo

List of changes

- We made minor changes to improve clarity, as the reviewer's comments suggest we did not properly define some of the quantities we studied.

- We revised Fig. 7. Following the reviewer's suggestion, we changed the procedure to bin the data and show results for selected values of f to improve clarity.

Current status:
Has been resubmitted

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