Three-dimensional bubble clusters: Shape, packing, and growth rate
نویسندگان
چکیده
منابع مشابه
Regular three-dimensional bubble clusters: shape, packing and growth-rate
We consider three-dimensional clusters of equal-volume bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws for three-dimensional bubble clusters. We discuss the possible number of bubbles that can be packed around a central one: the “kissing problem”, here adapted to deformable ob...
متن کاملThree-dimensional bubble clusters: shape, packing, and growth rate.
We consider three-dimensional clusters of equal-volume bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws for three-dimensional bubble clusters. We discuss the possible number of bubbles that can be packed around a central one: the "kissing problem," here adapted to deformable ob...
متن کاملcc sd - 0 00 00 57 7 ( v er si on 4 ) : 1 6 Ja n 20 04 Three - dimensional bubble clusters : shape , packing and growth - rate
We consider three-dimensional clusters of equal-volume bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws for three-dimensional bubble clusters. We discuss the possible number of bubbles that can be packed around a central one: the " kissing problem " , here adapted to deformable...
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We present approximation algorithms for the twoand three-dimensional bin packing problems and the three-dimensional strip packing problem. We consider the special case of these problems in which a parameter (a positive integer) is given, indicating that each of the dimensions of the items to be packed is at most of the corresponding dimension of the recipient. We analyze the asymptotic performa...
متن کاملUniqueness, stability and Hessian eigenvalues for two-dimensional bubble clusters
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 bubb...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2004
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.69.031409