Three-dimensional bubble clusters: Shape, packing, and growth rate

S. J. Cox and F. Graner
Phys. Rev. E 69, 031409 – Published 31 March 2004
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Abstract

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.

  • Received 1 October 2003

DOI:https://doi.org/10.1103/PhysRevE.69.031409

©2004 American Physical Society

Authors & Affiliations

S. J. Cox1,* and F. Graner2,†

  • 1Department of Physics, Trinity College, Dublin 2, Ireland
  • 2Laboratoire de Spectrométrie Physique, Boîte Postale 87, F-38402 St. Martin d’Hères Cedex, France

  • *Corresponding author. FAX: +353-1-671-1759; Email address: simon.cox@tcd.ie
  • CNRS UMR 5588 & Université Grenoble I, France.

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Vol. 69, Iss. 3 — March 2004

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