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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (SciVal)


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.

Original languageEnglish
Pages (from-to)123-127
Number of pages5
JournalEuropean Physical Journal E
Issue number2
Publication statusPublished - Feb 2002


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