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

نویسندگان

  • Simon Cox
  • Francois Graner
چکیده

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. Pacs numbers: 82.70.Rr, 83.80.Iz

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تاریخ انتشار 2006