Phys. Rev. E 69, 031409 (2004) [6 pages]Three-dimensional bubble clusters: Shape, packing, and growth rateReceived 1 October 2003; published 31 March 2004 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 objects. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.69.031409
DOI:
10.1103/PhysRevE.69.031409
PACS:
82.70.Rr, 83.80.Iz
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