Size-topology relations in packings of grains, emulsions, foams, and biological cells

K. A. Newhall, L. L. Pontani, I. Jorjadze, Sascha Hilgenfeldt, J. Brujic

Research output: Contribution to journalArticle

Abstract

Particulate packings in 3D are used to study the effects of compression and polydispersity on the geometry of the tiling in these systems. We find that the dependence of the neighbor number on cell size is quasilinear in the monodisperse case and becomes nonlinear above a threshold polydispersity, independent of the method of creation of the tiling. These size-topology relations can be described by a simple analytical theory, which quantifies the effects of positional disorder in the monodisperse case and those of size disorder in the polydisperse case and is applicable in two and three dimensions. The theory thus gives a unifying framework for a wide range of amorphous systems, ranging from biological tissues, foams, and bidisperse disks to compressed emulsions and granular matter.

Original languageEnglish (US)
Article number268001
JournalPhysical review letters
Volume108
Issue number26
DOIs
StatePublished - Jun 26 2012

Fingerprint

foams
emulsions
topology
cells
disorders
particulates
thresholds
geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Size-topology relations in packings of grains, emulsions, foams, and biological cells. / Newhall, K. A.; Pontani, L. L.; Jorjadze, I.; Hilgenfeldt, Sascha; Brujic, J.

In: Physical review letters, Vol. 108, No. 26, 268001, 26.06.2012.

Research output: Contribution to journalArticle

Newhall, K. A. ; Pontani, L. L. ; Jorjadze, I. ; Hilgenfeldt, Sascha ; Brujic, J. / Size-topology relations in packings of grains, emulsions, foams, and biological cells. In: Physical review letters. 2012 ; Vol. 108, No. 26.
@article{4d4a5e7c328449f3839d7ed138ddc460,
title = "Size-topology relations in packings of grains, emulsions, foams, and biological cells",
abstract = "Particulate packings in 3D are used to study the effects of compression and polydispersity on the geometry of the tiling in these systems. We find that the dependence of the neighbor number on cell size is quasilinear in the monodisperse case and becomes nonlinear above a threshold polydispersity, independent of the method of creation of the tiling. These size-topology relations can be described by a simple analytical theory, which quantifies the effects of positional disorder in the monodisperse case and those of size disorder in the polydisperse case and is applicable in two and three dimensions. The theory thus gives a unifying framework for a wide range of amorphous systems, ranging from biological tissues, foams, and bidisperse disks to compressed emulsions and granular matter.",
author = "Newhall, {K. A.} and Pontani, {L. L.} and I. Jorjadze and Sascha Hilgenfeldt and J. Brujic",
year = "2012",
month = "6",
day = "26",
doi = "10.1103/PhysRevLett.108.268001",
language = "English (US)",
volume = "108",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "26",

}

TY - JOUR

T1 - Size-topology relations in packings of grains, emulsions, foams, and biological cells

AU - Newhall, K. A.

AU - Pontani, L. L.

AU - Jorjadze, I.

AU - Hilgenfeldt, Sascha

AU - Brujic, J.

PY - 2012/6/26

Y1 - 2012/6/26

N2 - Particulate packings in 3D are used to study the effects of compression and polydispersity on the geometry of the tiling in these systems. We find that the dependence of the neighbor number on cell size is quasilinear in the monodisperse case and becomes nonlinear above a threshold polydispersity, independent of the method of creation of the tiling. These size-topology relations can be described by a simple analytical theory, which quantifies the effects of positional disorder in the monodisperse case and those of size disorder in the polydisperse case and is applicable in two and three dimensions. The theory thus gives a unifying framework for a wide range of amorphous systems, ranging from biological tissues, foams, and bidisperse disks to compressed emulsions and granular matter.

AB - Particulate packings in 3D are used to study the effects of compression and polydispersity on the geometry of the tiling in these systems. We find that the dependence of the neighbor number on cell size is quasilinear in the monodisperse case and becomes nonlinear above a threshold polydispersity, independent of the method of creation of the tiling. These size-topology relations can be described by a simple analytical theory, which quantifies the effects of positional disorder in the monodisperse case and those of size disorder in the polydisperse case and is applicable in two and three dimensions. The theory thus gives a unifying framework for a wide range of amorphous systems, ranging from biological tissues, foams, and bidisperse disks to compressed emulsions and granular matter.

UR - http://www.scopus.com/inward/record.url?scp=84862993009&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862993009&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.108.268001

DO - 10.1103/PhysRevLett.108.268001

M3 - Article

VL - 108

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 26

M1 - 268001

ER -