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Universal Non-Debye Scaling in the Density of States of Amorphous Solids.

Publication ,  Journal Article
Charbonneau, P; Corwin, EI; Parisi, G; Poncet, A; Zamponi, F
Published in: Physical review letters
July 2016

At the jamming transition, amorphous packings are known to display anomalous vibrational modes with a density of states (DOS) that remains constant at low frequency. The scaling of the DOS at higher packing fractions remains, however, unclear. One might expect to find a simple Debye scaling, but recent results from effective medium theory and the exact solution of mean-field models both predict an anomalous, non-Debye scaling. Being mean-field in nature, however, these solutions are only strictly valid in the limit of infinite spatial dimension, and it is unclear what value they have for finite-dimensional systems. Here, we study packings of soft spheres in dimensions 3 through 7 and find, away from jamming, a universal non-Debye scaling of the DOS that is consistent with the mean-field predictions. We also consider how the soft mode participation ratio evolves as dimension increases.

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Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

July 2016

Volume

117

Issue

4

Start / End Page

045503

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Charbonneau, P., Corwin, E. I., Parisi, G., Poncet, A., & Zamponi, F. (2016). Universal Non-Debye Scaling in the Density of States of Amorphous Solids. Physical Review Letters, 117(4), 045503. https://doi.org/10.1103/physrevlett.117.045503
Charbonneau, Patrick, Eric I. Corwin, Giorgio Parisi, Alexis Poncet, and Francesco Zamponi. “Universal Non-Debye Scaling in the Density of States of Amorphous Solids.Physical Review Letters 117, no. 4 (July 2016): 045503. https://doi.org/10.1103/physrevlett.117.045503.
Charbonneau P, Corwin EI, Parisi G, Poncet A, Zamponi F. Universal Non-Debye Scaling in the Density of States of Amorphous Solids. Physical review letters. 2016 Jul;117(4):045503.
Charbonneau, Patrick, et al. “Universal Non-Debye Scaling in the Density of States of Amorphous Solids.Physical Review Letters, vol. 117, no. 4, July 2016, p. 045503. Epmc, doi:10.1103/physrevlett.117.045503.
Charbonneau P, Corwin EI, Parisi G, Poncet A, Zamponi F. Universal Non-Debye Scaling in the Density of States of Amorphous Solids. Physical review letters. 2016 Jul;117(4):045503.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

July 2016

Volume

117

Issue

4

Start / End Page

045503

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences