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 objects.
Cox
S J
SJ
Department of Physics, Trinity College, Dublin 2, Ireland. simon.cox@tcd.ie
Graner
F
F