Jamming in two-dimensional packings

Sam Meyer; Chaoming Song; Yuliang Jin; Kun Wang; Hernán A. Makse

doi:10.1016/j.physa.2010.07.030

Jamming in two-dimensional packings

Sam Meyer, Chaoming Song, Yuliang Jin, Kun Wang, Hernán A. Makse

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approachbased on several approximations to predict the probability distribution of volumessuggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has implications for the understanding of disordered states in the disk packing problem as well as the existence of a putative glass transition in two-dimensional systems.

Original language	English (US)
Pages (from-to)	5137-5144
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	389
Issue number	22
DOIs	https://doi.org/10.1016/j.physa.2010.07.030
State	Published - Dec 15 2010
Externally published	Yes

Keywords

Disordered system
Random packings
Volume function

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2010.07.030

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title = "Jamming in two-dimensional packings",

abstract = "We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approachbased on several approximations to predict the probability distribution of volumessuggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has implications for the understanding of disordered states in the disk packing problem as well as the existence of a putative glass transition in two-dimensional systems.",

keywords = "Disordered system, Random packings, Volume function",

author = "Sam Meyer and Chaoming Song and Yuliang Jin and Kun Wang and Makse, {Hern{\'a}n A.}",

note = "Funding Information: We thank National Science Foundation and Department of Energy for financial support.",

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T1 - Jamming in two-dimensional packings

AU - Meyer, Sam

AU - Song, Chaoming

AU - Jin, Yuliang

AU - Wang, Kun

AU - Makse, Hernán A.

N1 - Funding Information: We thank National Science Foundation and Department of Energy for financial support.

PY - 2010/12/15

Y1 - 2010/12/15

N2 - We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approachbased on several approximations to predict the probability distribution of volumessuggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has implications for the understanding of disordered states in the disk packing problem as well as the existence of a putative glass transition in two-dimensional systems.

AB - We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approachbased on several approximations to predict the probability distribution of volumessuggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has implications for the understanding of disordered states in the disk packing problem as well as the existence of a putative glass transition in two-dimensional systems.

KW - Disordered system

KW - Random packings

KW - Volume function

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DO - 10.1016/j.physa.2010.07.030

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SP - 5137

EP - 5144

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 22

ER -

Jamming in two-dimensional packings

Abstract

Keywords

ASJC Scopus subject areas

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