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Title: Two Diverging Length Scales in the Structure of Jammed Packings

Abstract

Here, at densities higher than the jamming transition for athermal, frictionless repulsive spheres we find two distinct length scales, both of which diverge as a power law as the transition is approached. The first, ξ Z , is associated with the two-point correlation function for the number of contacts on two particles as a function of the particle separation. Additionally, the second, ξ f , is associated with contact-number fluctuations in subsystems of different sizes. On scales below ξ f , the fluctuations are highly suppressed, similar to the phenomenon of hyperuniformity usually associated with density fluctuations. The exponents for the divergence of ξ Z and ξ f are different and appear to be different in two and three dimensions.

Authors:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Chicago, IL (United States)
  2. Univ. of Pennsylvania, Philadelphia, PA (United States)
  3. Univ. of Chicago, IL (United States)
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Chicago, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1596600
Alternate Identifier(s):
OSTI ID: 1469439; OSTI ID: 1856742
Grant/Contract Number:  
FG02-05ER46199; FG02-03ER46088; DMR-1420709
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 11; 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; phase transition; nonequilibrium statistical physics; jamming, jamming transition, phase transition

Citation Formats

Hexner, Daniel, Liu, Andrea J., and Nagel, Sidney R. Two Diverging Length Scales in the Structure of Jammed Packings. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.115501.
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Hexner, Daniel, Liu, Andrea J., & Nagel, Sidney R. Two Diverging Length Scales in the Structure of Jammed Packings. United States. https://doi.org/10.1103/PhysRevLett.121.115501
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Hexner, Daniel, Liu, Andrea J., and Nagel, Sidney R. Tue . "Two Diverging Length Scales in the Structure of Jammed Packings". United States. https://doi.org/10.1103/PhysRevLett.121.115501. https://www.osti.gov/servlets/purl/1596600.
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@article{osti_1596600,
title = {Two Diverging Length Scales in the Structure of Jammed Packings},
author = {Hexner, Daniel and Liu, Andrea J. and Nagel, Sidney R.},
abstractNote = {Here, at densities higher than the jamming transition for athermal, frictionless repulsive spheres we find two distinct length scales, both of which diverge as a power law as the transition is approached. The first, ξZ, is associated with the two-point correlation function for the number of contacts on two particles as a function of the particle separation. Additionally, the second, ξf, is associated with contact-number fluctuations in subsystems of different sizes. On scales below ξf, the fluctuations are highly suppressed, similar to the phenomenon of hyperuniformity usually associated with density fluctuations. The exponents for the divergence of ξZ and ξf are different and appear to be different in two and three dimensions.},
doi = {10.1103/PhysRevLett.121.115501},
journal = {Physical Review Letters},
number = 11,
volume = 121,
place = {United States},
year = {Tue Sep 11 00:00:00 EDT 2018},
month = {Tue Sep 11 00:00:00 EDT 2018}
}
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Journal Article:
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https://doi.org/10.1103/PhysRevLett.121.115501
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Works referenced in this record:

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    Works referencing / citing this record:

    Mean field theory of jamming of nonspherical particles
    journal, July 2019

    • Ikeda, Harukuni; Urbani, Pierfrancesco; Zamponi, Francesco
    • Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 34
    • DOI: 10.1088/1751-8121/ab3079

    Cluster approach to phase transitions from fluid to amorphous solids: gels, glasses and granular materials
    journal, August 2019

    • Coniglio, Antonio; Fierro, Annalisa; Pica Ciamarra, Massimo
    • Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 38
    • DOI: 10.1088/1751-8121/ab358a

    Hyperuniformity on spherical surfaces
    journal, August 2019

    • Meyra, Ariel G.; Zarragoicoechea, Guillermo J.; Maltz, Alberto. L.
    • Physical Review E, Vol. 100, Issue 2
    • DOI: 10.1103/physreve.100.022107

    Marginally stable phases in mean-field structural glasses
    journal, January 2019

    Marginally stable phases in mean-field structural glasses
    text, January 2018

    Hyperuniformity on spherical surfaces
    text, January 2018

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