Uniqueness, stability and Hessian eigenvalues for two-dimensional bubble clusters

D. Weaire; S. J. Cox; F. Graner

doi:10.1007/s10189-002-8224-z

Uniqueness, stability and Hessian eigenvalues for two-dimensional bubble clusters

D. Weaire^*
, S. J. Cox
, F. Graner

^*Awdur cyfatebol y gwaith hwn

Trinity College Dublin
Laboratoire de Physique Théorique

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

31 Dyfyniadau (Scopus)

Crynodeb

A recent conjecture on two-dimensional foams suggested that for fixed topology with given bubble areas there is a unique state of stable equilibrium, We present counter-examples, consisting of a ring of bubbles around a central one, which refute this conjecture. The discussion centres on a novel form of instability which causes symmetric clusters to become distorted. The stability of these bubble clusters is examined in terms of the Hessian of the energy.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	123-127
Nifer y tudalennau	5
Cyfnodolyn	European Physical Journal E
Cyfrol	7
Rhif cyhoeddi	2
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s10189-002-8224-z
Statws	Cyhoeddwyd - Chwef 2002
Cyhoeddwyd yn allanol	Ie

Mynediad at Ddogfen

10.1007/s10189-002-8224-z

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

Dolen i’r cyhoeddiad yn Scopus

Dyfynnu hyn

@article{ddc1e313bd19403aa65c679381919051,

title = "Uniqueness, stability and Hessian eigenvalues for two-dimensional bubble clusters",

abstract = "A recent conjecture on two-dimensional foams suggested that for fixed topology with given bubble areas there is a unique state of stable equilibrium, We present counter-examples, consisting of a ring of bubbles around a central one, which refute this conjecture. The discussion centres on a novel form of instability which causes symmetric clusters to become distorted. The stability of these bubble clusters is examined in terms of the Hessian of the energy.",

author = "D. Weaire and Cox, \{S. J.\} and F. Graner",

year = "2002",

month = feb,

doi = "10.1007/s10189-002-8224-z",

language = "English",

volume = "7",

pages = "123--127",

journal = "European Physical Journal E",

issn = "1292-8941",

publisher = "Springer Publishing",

number = "2",

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T1 - Uniqueness, stability and Hessian eigenvalues for two-dimensional bubble clusters

AU - Weaire, D.

AU - Cox, S. J.

AU - Graner, F.

PY - 2002/2

Y1 - 2002/2

N2 - A recent conjecture on two-dimensional foams suggested that for fixed topology with given bubble areas there is a unique state of stable equilibrium, We present counter-examples, consisting of a ring of bubbles around a central one, which refute this conjecture. The discussion centres on a novel form of instability which causes symmetric clusters to become distorted. The stability of these bubble clusters is examined in terms of the Hessian of the energy.

AB - A recent conjecture on two-dimensional foams suggested that for fixed topology with given bubble areas there is a unique state of stable equilibrium, We present counter-examples, consisting of a ring of bubbles around a central one, which refute this conjecture. The discussion centres on a novel form of instability which causes symmetric clusters to become distorted. The stability of these bubble clusters is examined in terms of the Hessian of the energy.

UR - https://www.scopus.com/pages/publications/0036488486

U2 - 10.1007/s10189-002-8224-z

DO - 10.1007/s10189-002-8224-z

M3 - Article

AN - SCOPUS:0036488486

SN - 1292-8941

VL - 7

SP - 123

EP - 127

JO - European Physical Journal E

JF - European Physical Journal E

IS - 2

ER -

Uniqueness, stability and Hessian eigenvalues for two-dimensional bubble clusters

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Mynediad at Ddogfen

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Ffeiliau eraill a chysylltiadau

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