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

被引:32
作者
Weaire, D [1 ]
Cox, SJ
Graner, F
机构
[1] Univ Dublin Trinity Coll, Dept Phys, Dublin 2, Ireland
[2] Univ Grenoble 1, Spectrometrie Phys Lab, F-38402 St Martin Dheres, France
[3] CNRS, UMR 5588, Spectrometrie Phys Lab, F-38402 St Martin Dheres, France
关键词
PACS. 82.70.Rr Aerosols and foams – 46.32.+x Static buckling and instability;
D O I
10.1140/epje/i200101168
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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.
引用
收藏
页码:123 / 127
页数:5
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