A broader view on jamming: from spring networks to circle packings

Varda F. Hagh, Eric I. Corwin, Kenneth Stephenson, Michael Thorpe

Research output: Contribution to journalArticle

Abstract

Jamming occurs when objects like grains are packed tightly together (e.g. grain silos). It is highly cooperative and can lead to phenomena like earthquakes, traffic jams, etc. In this paper we point out the paramount importance of the underlying contact network for jammed systems; the network must have one contact in excess of isostaticity and a finite bulk modulus. Isostatic means that the number of degrees of freedom is exactly balanced by the number of constraints. This defines a large class of networks that can be constructed without the necessity of packing particles together compressively (either in the lab or computationally). One such construction, which we explore here, involves setting up the Delaunay triangulation of a Poisson disk sampling and then removing edges to maximize the bulk modulus until the isostatic plus one edge is reached. This construction works in any dimensions and here we give results in 2D where we also show how such networks can be transformed into disk packs.

Original languageEnglish (US)
Pages (from-to)3076-3084
Number of pages9
JournalSoft Matter
Volume15
Issue number15
DOIs
StatePublished - Jan 1 2019

Fingerprint

jamming
Jamming
Elastic moduli
Triangulation
bulk modulus
Earthquakes
Sampling
triangulation
traffic
earthquakes
degrees of freedom
sampling

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics

Cite this

F. Hagh, V., Corwin, E. I., Stephenson, K., & Thorpe, M. (2019). A broader view on jamming: from spring networks to circle packings. Soft Matter, 15(15), 3076-3084. https://doi.org/10.1039/C8SM01768A

A broader view on jamming : from spring networks to circle packings. / F. Hagh, Varda; Corwin, Eric I.; Stephenson, Kenneth; Thorpe, Michael.

In: Soft Matter, Vol. 15, No. 15, 01.01.2019, p. 3076-3084.

Research output: Contribution to journalArticle

F. Hagh, V, Corwin, EI, Stephenson, K & Thorpe, M 2019, 'A broader view on jamming: from spring networks to circle packings', Soft Matter, vol. 15, no. 15, pp. 3076-3084. https://doi.org/10.1039/C8SM01768A
F. Hagh V, Corwin EI, Stephenson K, Thorpe M. A broader view on jamming: from spring networks to circle packings. Soft Matter. 2019 Jan 1;15(15):3076-3084. https://doi.org/10.1039/C8SM01768A
F. Hagh, Varda ; Corwin, Eric I. ; Stephenson, Kenneth ; Thorpe, Michael. / A broader view on jamming : from spring networks to circle packings. In: Soft Matter. 2019 ; Vol. 15, No. 15. pp. 3076-3084.
@article{51ba9cf3121d42bf80fd276e076cecf0,
title = "A broader view on jamming: from spring networks to circle packings",
abstract = "Jamming occurs when objects like grains are packed tightly together (e.g. grain silos). It is highly cooperative and can lead to phenomena like earthquakes, traffic jams, etc. In this paper we point out the paramount importance of the underlying contact network for jammed systems; the network must have one contact in excess of isostaticity and a finite bulk modulus. Isostatic means that the number of degrees of freedom is exactly balanced by the number of constraints. This defines a large class of networks that can be constructed without the necessity of packing particles together compressively (either in the lab or computationally). One such construction, which we explore here, involves setting up the Delaunay triangulation of a Poisson disk sampling and then removing edges to maximize the bulk modulus until the isostatic plus one edge is reached. This construction works in any dimensions and here we give results in 2D where we also show how such networks can be transformed into disk packs.",
author = "{F. Hagh}, Varda and Corwin, {Eric I.} and Kenneth Stephenson and Michael Thorpe",
year = "2019",
month = "1",
day = "1",
doi = "10.1039/C8SM01768A",
language = "English (US)",
volume = "15",
pages = "3076--3084",
journal = "Soft Matter",
issn = "1744-683X",
publisher = "Royal Society of Chemistry",
number = "15",

}

TY - JOUR

T1 - A broader view on jamming

T2 - from spring networks to circle packings

AU - F. Hagh, Varda

AU - Corwin, Eric I.

AU - Stephenson, Kenneth

AU - Thorpe, Michael

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Jamming occurs when objects like grains are packed tightly together (e.g. grain silos). It is highly cooperative and can lead to phenomena like earthquakes, traffic jams, etc. In this paper we point out the paramount importance of the underlying contact network for jammed systems; the network must have one contact in excess of isostaticity and a finite bulk modulus. Isostatic means that the number of degrees of freedom is exactly balanced by the number of constraints. This defines a large class of networks that can be constructed without the necessity of packing particles together compressively (either in the lab or computationally). One such construction, which we explore here, involves setting up the Delaunay triangulation of a Poisson disk sampling and then removing edges to maximize the bulk modulus until the isostatic plus one edge is reached. This construction works in any dimensions and here we give results in 2D where we also show how such networks can be transformed into disk packs.

AB - Jamming occurs when objects like grains are packed tightly together (e.g. grain silos). It is highly cooperative and can lead to phenomena like earthquakes, traffic jams, etc. In this paper we point out the paramount importance of the underlying contact network for jammed systems; the network must have one contact in excess of isostaticity and a finite bulk modulus. Isostatic means that the number of degrees of freedom is exactly balanced by the number of constraints. This defines a large class of networks that can be constructed without the necessity of packing particles together compressively (either in the lab or computationally). One such construction, which we explore here, involves setting up the Delaunay triangulation of a Poisson disk sampling and then removing edges to maximize the bulk modulus until the isostatic plus one edge is reached. This construction works in any dimensions and here we give results in 2D where we also show how such networks can be transformed into disk packs.

UR - http://www.scopus.com/inward/record.url?scp=85064171944&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85064171944&partnerID=8YFLogxK

U2 - 10.1039/C8SM01768A

DO - 10.1039/C8SM01768A

M3 - Article

C2 - 30919849

AN - SCOPUS:85064171944

VL - 15

SP - 3076

EP - 3084

JO - Soft Matter

JF - Soft Matter

SN - 1744-683X

IS - 15

ER -