An accurate von Neumann's law for three-dimensional foams
An accurate von Neumann's law for three-dimensional foams
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DOI：
10.1103/physrevlett.86.2685
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发表时间：
2001-03-19
影响因子：
8.6
通讯作者：
Stone, HA
中科院分区：
文献类型：
--
作者：
Hilgenfeldt, S;Kraynik, AM;Stone, HA
二维肥皂泡沫的扩散粗化遵循冯·诺依曼定律。长期以来，人们一直猜测该定律适用于干 3D 泡沫的统计版本。基于 Minkowski 定理的新推导产生了 3D 中的显式分析冯诺依曼定律，该定律与详细的模拟和实验非常一致。对于大 F，具有 F 面的气泡的平均增长率与 F-1/2 成正比，这与推测的线性相关性相反。模型中考虑泡沫无序进一步提高了与数据的一致性。
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.