Journal
PHYSICAL REVIEW LETTERS
Volume 86, Issue 12, Pages 2685-2688Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.86.2685
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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 F-1/2 for large F, in contrast to the conjectured linear dependence. Accounting-for foam disorder in the model further improves the agreement with data.
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