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:
-
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- 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 = {Mon Aug 04 00:00:00 EDT 2014},
month = {Mon Aug 04 00:00:00 EDT 2014}
}
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Works referencing / citing this record:
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