Regular three-dimensional bubble clusters: shape, packing and growth-rate

Details Regular three-dimensional bubble clusters: shape, packing and growth-rate Regular three-dimensional bubble clusters: shape, packing and growth-rate

2003-09-04

arxiv.org/abs/cond-mat/0309107v4

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.69.031409

We consider three-dimensional clusters of identical 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 objects.

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