title: An accurate von Neumann's law for three-dimensional foams.
abstract: The diffusive coarsening of 2D soap froths is governed by von Neumann's law. A statistical version of this law for dry 3D foams has long been conjectured. A new derivation, based on a theorem by Minkowski, yields an explicit analytical von Neumann's law in 3D which is in very good agreement with detailed simulations and experiments. The average growth rate of a bubble with F faces is shown to be proportional to F1/2 for large F, in contrast to the conjectured linear dependence. Accounting for foam disorder in the model further improves the agreement with data.
authors: Division of Engineering and Appled Sciences, Harvard University, Cambridge, MA 02138, USA. sascha@tn.utwente.nl
authors: S
authors: S
authors: Hilgenfeldt
authors: A M
authors: AM
authors: Kraynik
authors: S A
authors: SA
authors: Koehler
authors: H A
authors: HA
authors: Stone