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Philosophical Magazine Volume 83, 2003 - Issue 22
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Original Articles

Large two-dimensional clusters of equal-area bubbles: The influence of the boundary in determining the minimum-energy configuration

S. J. Cox Department of Pure and Applied Physics, Trinity College, Dublin 2, Ireland
&
F. Graner Laboratoire de Spectrométrie Physique Unité Mixte de Recherche associée au CNRS 5588, Université Grenoble I, Boîte Postale 87, St. Martin d'Hères Cedex, F-38402, France
Pages 2573-2584 | Published online: 15 Nov 2010

Citations (19)

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Read on this site (5)

M. Fátima Vaz. (2008) Liquid foams: an introduction. Philosophical Magazine Letters 88:9-10, pages 627-636.
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M. A. Fortes , F. Morgan & M. Fátima Vaz. (2007) Pressures inside bubbles in planar clusters. Philosophical Magazine Letters 87:8, pages 561-565.
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S. J. Cox. (2006) Calculations of the minimal perimeter for deformable cells of equal area confined in a circle. Philosophical Magazine Letters 86:9, pages 569-578.
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A. Heppes & F. Morgan . (2005) Planar clusters and perimeter bounds. Philosophical Magazine 85:12, pages 1333-1345.
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M. A. Fortes & P. I. C. Teixeira . (2004) Helmholtz and Gibbs free energies of liquid foams. Philosophical Magazine Letters 84:11, pages 737-743.
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Articles from other publishers (14)

Feng Xie, Zhiduo Liu, Changxing Wang, Da Chen, Wei Zhu, Xiamen Li, Qinglei Guo & Gang Wang. (2022) Graphene quantum dots assisted synthesis of highconcentration nitrogen doped graphene for infrared photodetectors. Diamond and Related Materials 121, pages 108774.
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Jinbo Pang, Rafael G. Mendes, Pawel S. Wrobel, Michal D. Wlodarski, Huy Quang Ta, Liang Zhao, Lars Giebeler, Barbara Trzebicka, Thomas Gemming, Lei Fu, Zhongfan Liu, Juergen Eckert, Alicja Bachmatiuk & Mark H. Rümmeli. (2017) Self-Terminating Confinement Approach for Large-Area Uniform Monolayer Graphene Directly over Si/SiO x by Chemical Vapor Deposition . ACS Nano 11:2, pages 1946-1956.
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. 2016. Geometric Measure Theory. Geometric Measure Theory 235 254 .
Sebastián Sensale, Washington Jones & R. Ernesto Blanco. (2014) Does osteoderm growth follow energy minimization principles?. Journal of Morphology 275:8, pages 923-932.
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S. J. Cox, F. Morgan & F. Graner. (2013) Are large perimeter- minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular?. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469:2149, pages 20120392.
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Peter S. Stewart & Stephen H. Davis. (2012) Dynamics and stability of metallic foams: Network modeling. Journal of Rheology 56:3, pages 543-574.
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S J Cox, P I C Teixeira & M Fátima Vaz. (2010) Simulation of defects in bubble clusters. Journal of Physics: Condensed Matter 22:6, pages 065101.
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M. Fátima Vaz, P.I.C. Teixeira, F. Graner & S.J. Cox. (2009) Effect of the number of shells on the pressure and energy of two-dimensional free bubble clusters. Colloids and Surfaces A: Physicochemical and Engineering Aspects 344:1-3, pages 33-36.
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S. J. Cox, F. Graner & M. F. Vaz. (2008) Screening in dry two-dimensional foams. Soft Matter 4:9, pages 1871.
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M.A. Fortes. (2007) The force exerted by a monolayer foam on a transverse plate. Colloids and Surfaces A: Physicochemical and Engineering Aspects 309:1-3, pages 30-32.
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M.A. Fortes, M. Fátima Vaz, S.J. Cox & P.I.C. Teixeira. (2007) Instabilities in two-dimensional flower and chain clusters of bubbles. Colloids and Surfaces A: Physicochemical and Engineering Aspects 309:1-3, pages 64-70.
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Frank Morgan. (2007) Colloquium : Soap bubble clusters . Reviews of Modern Physics 79:3, pages 821-827.
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C. Quilliet, M.A.P. Idiart, B. Dollet, L. Berthier & A. Yekini. (2005) Bubbles in sheared two-dimensional foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects 263:1-3, pages 95-100.
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W Drenckhan, D Weaire & S J Cox. (2004) The demonstration of conformal maps with two-dimensional foams. European Journal of Physics 25:3, pages 429-438.
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