Contact nonlinearities and linear response in jammed particulate packings

Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.

doi:10.1103/PhysRevE.90.022201

Contact nonlinearities and linear response in jammed particulate packings

Journal Article · Mon Aug 04 00:00:00 EDT 2014 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/PhysRevE.90.022201· OSTI ID:1596347

Goodrich, Carl P. ^[1]; Liu, Andrea J. ^[2]; Nagel, Sidney R. ^[3]

Univ. of Pennsylvania, Philadelphia, PA (United States); The University of Chicago
Univ. of Pennsylvania, Philadelphia, PA (United States)
Univ. of Chicago, IL (United States)

Packings of frictionless athermal particles that interact only when they overlap experience a jamming transition as a function of packing density. Such packings provide the foundation for the theory of jamming. This theory rests on the observation that, despite the multitude of disordered configurations, the mechanical response to linear order depends only on the distance to the transition. We investigate the validity and utility of such measurements that invoke the harmonic approximation and show that, despite particles coming in and out of contact, there is a well-defined linear regime in the thermodynamic limit.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Chicago, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: FG02-03ER46088

OSTI ID:: 1596347

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 2 Vol. 90; ISSN 1539-3755; ISSN PLEEE8

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (10)

Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition Baity-Jesi, Marco; Goodrich, Carl P.; Liu, Andrea J. Journal of Statistical Physics, Vol. 167, Issue 3-4 https://doi.org/10.1007/s10955-016-1703-9	journal	January 2017
Beyond linear elasticity: jammed solids at finite shear strain and rate Boschan, Julia; Vågberg, Daniel; Somfai, Ellák Soft Matter, Vol. 12, Issue 24 https://doi.org/10.1039/c6sm00536e	journal	January 2016
Disentangling defects and sound modes in disordered solids Wijtmans, Sven; Manning, M. Lisa Soft Matter, Vol. 13, Issue 34 https://doi.org/10.1039/c7sm00792b	journal	January 2017
Softening and yielding of soft glassy materials Dagois-Bohy, Simon; Somfai, Ellák; Tighe, Brian P. Soft Matter, Vol. 13, Issue 47 https://doi.org/10.1039/c7sm01846k	journal	January 2017
Contact changes near jamming van Deen, Merlijn S.; Simon, Johannes; Zeravcic, Zorana Physical Review E, Vol. 90, Issue 2 https://doi.org/10.1103/physreve.90.020202	journal	August 2014
Elastic moduli and vibrational modes in jammed particulate packings Mizuno, Hideyuki; Saitoh, Kuniyasu; Silbert, Leonardo E. Physical Review E, Vol. 93, Issue 6 https://doi.org/10.1103/physreve.93.062905	journal	June 2016
Contact changes of sheared systems: Scaling, correlations, and mechanisms van Deen, Merlijn S.; Tighe, Brian P.; van Hecke, Martin Physical Review E, Vol. 94, Issue 6 https://doi.org/10.1103/physreve.94.062905	journal	December 2016
Disentangling defects and sound modes in disordered solids Wijtmans, Sven; Manning, M. Lisa arXiv https://doi.org/10.48550/arxiv.1502.00685	preprint	January 2015
Beyond linear elasticity: Jammed solids at finite shear strain and rate Boschan, Julia; Vagberg, Daniel; Somfai, Ellak arXiv https://doi.org/10.48550/arxiv.1601.00068	text	January 2016
Contact Changes of Sheared Systems: Scaling, Correlations, and Mechanisms van Deen, Merlijn S.; Tighe, Brian P.; van Hecke, Martin arXiv https://doi.org/10.48550/arxiv.1606.04799	text	January 2016

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