Instabilities of Jammed Packings of Frictionless Spheres Under Load
Abstract
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.
- Authors:
-
- 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
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- 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
- OSTI Identifier:
- 1596541
- Alternate Identifier(s):
- OSTI ID: 1409469
- Grant/Contract Number:
- FG02-05ER46199; FG02-03ER46088; 21325418; 11574278; 2030020028; 454945; 348125
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 119; Journal Issue: 21; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; jamming; shear; plasticity
Citation Formats
Xu, Ning, Liu, Andrea J., and Nagel, Sidney R. Instabilities of Jammed Packings of Frictionless Spheres Under Load. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.119.215502.
Xu, Ning, Liu, Andrea J., & Nagel, Sidney R. Instabilities of Jammed Packings of Frictionless Spheres Under Load. United States. https://doi.org/10.1103/PhysRevLett.119.215502
Xu, Ning, Liu, Andrea J., and Nagel, Sidney R. Mon .
"Instabilities of Jammed Packings of Frictionless Spheres Under Load". United States. https://doi.org/10.1103/PhysRevLett.119.215502. https://www.osti.gov/servlets/purl/1596541.
@article{osti_1596541,
title = {Instabilities of Jammed Packings of Frictionless Spheres Under Load},
author = {Xu, Ning and Liu, Andrea J. and Nagel, Sidney R.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.119.215502},
journal = {Physical Review Letters},
number = 21,
volume = 119,
place = {United States},
year = {Mon Nov 20 00:00:00 EST 2017},
month = {Mon Nov 20 00:00:00 EST 2017}
}
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Works referenced in this record:
Relationships of shear-induced changes in the potential energy landscape to the mechanical properties of ductile glasses
journal, March 1999
- Malandro, Dennis L.; Lacks, Daniel J.
- The Journal of Chemical Physics, Vol. 110, Issue 9
Amorphous systems in athermal, quasistatic shear
journal, July 2006
- Maloney, Craig E.; Lemaître, Anaël
- Physical Review E, Vol. 74, Issue 1
Jamming at zero temperature and zero applied stress: The epitome of disorder
journal, July 2003
- O’Hern, Corey S.; Silbert, Leonardo E.; Liu, Andrea J.
- Physical Review E, Vol. 68, Issue 1
Phonon Echoes in Glass
journal, September 1976
- Golding, Brage; Graebner, John E.
- Physical Review Letters, Vol. 37, Issue 13
Statistics and Properties of Low-Frequency Vibrational Modes in Structural Glasses
journal, July 2016
- Lerner, Edan; Düring, Gustavo; Bouchbinder, Eran
- Physical Review Letters, Vol. 117, Issue 3
On the density of shear transformations in amorphous solids
journal, January 2014
- Lin, Jie; Saade, Alaa; Lerner, Edan
- EPL (Europhysics Letters), Vol. 105, Issue 2
Vibrations and Diverging Length Scales Near the Unjamming Transition
journal, August 2005
- Silbert, Leonardo E.; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review Letters, Vol. 95, Issue 9
Heat transport in model jammed solids
journal, February 2010
- Vitelli, Vincenzo; Xu, Ning; Wyart, Matthieu
- Physical Review E, Vol. 81, Issue 2
Local thermal energy as a structural indicator in glasses
journal, June 2017
- Zylberg, Jacques; Lerner, Edan; Bar-Sinai, Yohai
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 28
Molecular-Level Mechanical Instabilities and Enhanced Self-Diffusion in Flowing Liquids
journal, December 1998
- Malandro, Dennis L.; Lacks, Daniel J.
- Physical Review Letters, Vol. 81, Issue 25
Statistical physics of the yielding transition in amorphous solids
journal, November 2010
- Karmakar, Smarajit; Lerner, Edan; Procaccia, Itamar
- Physical Review E, Vol. 82, Issue 5
Effect of instantaneous and continuous quenches on the density of vibrational modes in model glasses
journal, August 2017
- Lerner, Edan; Bouchbinder, Eran
- Physical Review E, Vol. 96, Issue 2
Universal Non-Debye Scaling in the Density of States of Amorphous Solids
journal, July 2016
- Charbonneau, Patrick; Corwin, Eric I.; Parisi, Giorgio
- Physical Review Letters, Vol. 117, Issue 4
Structural Relaxation Made Simple
journal, October 2006
- Bitzek, Erik; Koskinen, Pekka; Gähler, Franz
- Physical Review Letters, Vol. 97, Issue 17
Effects of coordination and pressure on sound attenuation, boson peak and elasticity in amorphous solids
journal, January 2014
- DeGiuli, Eric; Laversanne-Finot, Adrien; Düring, Gustavo
- Soft Matter, Vol. 10, Issue 30
Identifying Structural Flow Defects in Disordered Solids Using Machine-Learning Methods
journal, March 2015
- Cubuk, E. D.; Schoenholz, S. S.; Rieser, J. M.
- Physical Review Letters, Vol. 114, Issue 10
On the rigidity of amorphous solids
journal, January 2005
- Wyart, M.
- Annales de Physique, Vol. 30, Issue 3
Fractal free energy landscapes in structural glasses
journal, April 2014
- Charbonneau, Patrick; Kurchan, Jorge; Parisi, Giorgio
- Nature Communications, Vol. 5, Issue 1
Vibrational Modes Identify Soft Spots in a Sheared Disordered Packing
journal, August 2011
- Manning, M. L.; Liu, A. J.
- Physical Review Letters, Vol. 107, Issue 10
Echoes from anharmonic normal modes in model glasses
journal, March 2016
- Burton, Justin C.; Nagel, Sidney R.
- Physical Review E, Vol. 93, Issue 3
Anharmonic and quasi-localized vibrations in jammed solids—Modes for mechanical failure
journal, June 2010
- Xu, N.; Vitelli, V.; Liu, A. J.
- EPL (Europhysics Letters), Vol. 90, Issue 5
Scaling description of the yielding transition in soft amorphous solids at zero temperature
journal, September 2014
- Lin, Jie; Lerner, Edan; Rosso, Alberto
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 40
The Jamming Transition and the Marginally Jammed Solid
journal, August 2010
- Liu, Andrea J.; Nagel, Sidney R.
- Annual Review of Condensed Matter Physics, Vol. 1, Issue 1
Subextensive Scaling in the Athermal, Quasistatic Limit of Amorphous Matter in Plastic Shear Flow
journal, July 2004
- Maloney, Craig; Lemaître, Anaël
- Physical Review Letters, Vol. 93, Issue 1
Nonlinear plastic modes in disordered solids
journal, January 2016
- Gartner, Luka; Lerner, Edan
- Physical Review E, Vol. 93, Issue 1
Micromechanics of nonlinear plastic modes
journal, May 2016
- Lerner, Edan
- Physical Review E, Vol. 93, Issue 5
Free-energy landscapes, dynamics, and the edge of chaos in mean-field models of spin glasses
journal, November 2006
- Aspelmeier, T.; Blythe, R. A.; Bray, A. J.
- Physical Review B, Vol. 74, Issue 18
Supercooled liquids and the glass transition
journal, March 2001
- Debenedetti, Pablo G.; Stillinger, Frank H.
- Nature, Vol. 410, Issue 6825
Numerical Study of Metastable States in Ising Spin Glasses
journal, March 2004
- Cavagna, Andrea; Giardina, Irene; Parisi, Giorgio
- Physical Review Letters, Vol. 92, Issue 12
Bosonic excitations in random media
journal, October 2003
- Gurarie, V.; Chalker, J. T.
- Physical Review B, Vol. 68, Issue 13
Effect of inertia on sheared disordered solids: Critical scaling of avalanches in two and three dimensions
journal, December 2013
- Salerno, K. Michael; Robbins, Mark O.
- Physical Review E, Vol. 88, Issue 6
Jamming of soft particles: geometry, mechanics, scaling and isostaticity
journal, December 2009
- van Hecke, M.
- Journal of Physics: Condensed Matter, Vol. 22, Issue 3
Excess Vibrational Modes and the Boson Peak in Model Glasses
journal, April 2007
- Xu, Ning; Wyart, Matthieu; Liu, Andrea J.
- Physical Review Letters, Vol. 98, Issue 17
Computer simulation of local order in condensed phases of silicon
journal, April 1985
- Stillinger, Frank H.; Weber, Thomas A.
- Physical Review B, Vol. 31, Issue 8
Marginal Stability in Structural, Spin, and Electron Glasses
journal, March 2015
- Müller, Markus; Wyart, Matthieu
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Soft-Sphere Packings at Finite Pressure but Unstable to Shear
journal, August 2012
- Dagois-Bohy, Simon; Tighe, Brian P.; Simon, Johannes
- Physical Review Letters, Vol. 109, Issue 9
Avalanches in Strained Amorphous Solids: Does Inertia Destroy Critical Behavior?
journal, September 2012
- Salerno, K. Michael; Maloney, Craig E.; Robbins, Mark O.
- Physical Review Letters, Vol. 109, Issue 10
Nonlinear modes disentangle glassy and Goldstone modes in structural glasses
journal, January 2016
- Gartner, Luka; Lerner, Edan
- SciPost Physics, Vol. 1, Issue 2
Finite Size Analysis of Zero-Temperature Jamming Transition under Applied Shear Stress by Minimizing a Thermodynamic-Like Potential
journal, April 2014
- Liu, Hao; Xie, Xiaoyi; Xu, Ning
- Physical Review Letters, Vol. 112, Issue 14
The jamming transition in high dimension: an analytical study of the TAP equations and the effective thermodynamic potential
journal, September 2016
- Altieri, Ada; Franz, Silvio; Parisi, Giorgio
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 9
Works referencing / citing this record:
Theory for the density of interacting quasilocalized modes in amorphous solids
journal, February 2019
- Ji, Wencheng; Popović, Marko; de Geus, Tom W. J.
- Physical Review E, Vol. 99, Issue 2
Impact of jamming criticality on low-temperature anomalies in structural glasses
journal, June 2019
- Franz, Silvio; Maimbourg, Thibaud; Parisi, Giorgio
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 28
Theory for the density of interacting quasi-localised modes in amorphous solids
text, January 2018
- Ji, Wencheng; Popović, Marko; de Geus, Tom W. J.
- arXiv
Impact of jamming criticality on low-temperature anomalies in structural glasses
text, January 2018
- Franz, Silvio; Maimbourg, Thibaud; Parisi, Giorgio
- arXiv