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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]
  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) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1596600
Alternate Identifier(s):
OSTI ID: 1469439
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

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.
Hexner, Daniel, Liu, Andrea J., & Nagel, Sidney R. Two Diverging Length Scales in the Structure of Jammed Packings. United States. doi:10.1103/PhysRevLett.121.115501.
Hexner, Daniel, Liu, Andrea J., and Nagel, Sidney R. Tue . "Two Diverging Length Scales in the Structure of Jammed Packings". United States. doi:10.1103/PhysRevLett.121.115501. https://www.osti.gov/servlets/purl/1596600.
@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 = {2018},
month = {9}
}

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