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