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Title: Contact nonlinearities and linear response in jammed particulate packings

Abstract

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.

Authors:
 [1];  [1];  [2]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. Univ. of Chicago, IL (United States)
Publication Date:
Research Org.:
Univ. of Chicago, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1596347
Grant/Contract Number:  
FG02-03ER46088
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Additional Journal Information:
Journal Volume: 90; Journal Issue: 2; Journal ID: ISSN 1539-3755
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; jammed packings; linear response; contact; non-linearities

Citation Formats

Goodrich, Carl P., Liu, Andrea J., and Nagel, Sidney R. Contact nonlinearities and linear response in jammed particulate packings. United States: N. p., 2014. Web. doi:10.1103/PhysRevE.90.022201.
Goodrich, Carl P., Liu, Andrea J., & Nagel, Sidney R. Contact nonlinearities and linear response in jammed particulate packings. United States. https://doi.org/10.1103/PhysRevE.90.022201
Goodrich, Carl P., Liu, Andrea J., and Nagel, Sidney R. Mon . "Contact nonlinearities and linear response in jammed particulate packings". United States. https://doi.org/10.1103/PhysRevE.90.022201. https://www.osti.gov/servlets/purl/1596347.
@article{osti_1596347,
title = {Contact nonlinearities and linear response in jammed particulate packings},
author = {Goodrich, Carl P. and Liu, Andrea J. and Nagel, Sidney R.},
abstractNote = {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.},
doi = {10.1103/PhysRevE.90.022201},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 2,
volume = 90,
place = {United States},
year = {2014},
month = {8}
}

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Cited by: 13 works
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Works referencing / citing this record:

Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition
journal, January 2017

  • Baity-Jesi, Marco; Goodrich, Carl P.; Liu, Andrea J.
  • Journal of Statistical Physics, Vol. 167, Issue 3-4
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Disentangling defects and sound modes in disordered solids
journal, January 2017


Softening and yielding of soft glassy materials
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Contact Changes of Sheared Systems: Scaling, Correlations, and Mechanisms
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