Pressures in periodic foams
- Resource Type
- Article
- Authors
- Weaire, D.; Kern, N.; Cox, S. J.; Sullivan, J. M.; Morgan, F.
- Source
- Proceedings A: Mathematical, Physical and Engineering Sciences; February 2004, Vol. 460 Issue: 2042 p569-579, 11p
- Subject
- Language
- ISSN
- 13645021; 14712946
A hitherto open problem in the geometry of foams asks: are the pressures in the bubbles of a (structurally) periodic foam in equilibrium necessarily periodic? We supply a proof that this is so. However, external forces can induce a pressure gradient even in periodic structures. We also establish that any equilibrium planar foam whose bubbles are congruent must have uniform pressure and be a fully periodic arrangement of hexagons.