Instabilities of Jammed Packings of Frictionless Spheres Under Load

Xu, Ning; Liu, Andrea J.; Nagel, Sidney R.

doi:10.1103/PhysRevLett.119.215502

Title: Instabilities of Jammed Packings of Frictionless Spheres Under Load

Journal Article · Mon Nov 20 00:00:00 EST 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.119.215502· OSTI ID:1596541

Xu, Ning ^[1]; Liu, Andrea J. ^[2]; Nagel, Sidney R. ^[3]

Univ. of Science and Technology of China, Hefei (China)
Univ. of Pennsylvania, Philadelphia, PA (United States)
Univ. of Chicago, IL (United States). James Franck and Enrico Fermi Institutes

In this work, we consider the contribution to the density of vibrational states and the distribution of energy barrier heights of incipient instabilities in a glass modeled by a jammed packing of spheres. On approaching an instability, the frequency of a normal mode and the height of the energy barrier to cross into a new ground state both vanish. These instabilities produce a contribution to the density of vibrational states that scales as ω³ at low frequencies ω, and a contribution to the distribution of energy barriers ΔH that scales as ΔH^-1/3 at low barrier heights.

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Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Natural Science Foundation; Fundamental Research Funds for the Central Universities; Simons Foundation

Grant/Contract Number:: FG02-05ER46199; FG02-03ER46088; 21325418; 11574278; 2030020028; 454945; 348125

OSTI ID:: 1596541

Alternate ID(s):: OSTI ID: 1409469

Journal Information:: Physical Review Letters, Vol. 119, Issue 21; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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Cited By (4)

Theory for the density of interacting quasilocalized modes in amorphous solids Ji, Wencheng; Popović, Marko; de Geus, Tom W. J. Physical Review E, Vol. 99, Issue 2 https://doi.org/10.1103/physreve.99.023003	journal	February 2019
Impact of jamming criticality on low-temperature anomalies in structural glasses Franz, Silvio; Maimbourg, Thibaud; Parisi, Giorgio Proceedings of the National Academy of Sciences, Vol. 116, Issue 28 https://doi.org/10.1073/pnas.1820360116	journal	June 2019
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Impact of jamming criticality on low-temperature anomalies in structural glasses Franz, Silvio; Maimbourg, Thibaud; Parisi, Giorgio arXiv https://doi.org/10.48550/arxiv.1811.11719	text	January 2018

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