The structure of foam cells: Isotropic Plateau polyhedra
The structure of foam cells: Isotropic Plateau polyhedra
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DOI：
10.1209/epl/i2003-10295-7
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发表时间：
2004-08
期刊：
影响因子：
1.8
通讯作者：
S. Hilgenfeldt;A. Kraynik;D. Reinelt;J. Sullivan
中科院分区：
文献类型：
--
作者：
S. Hilgenfeldt;A. Kraynik;D. Reinelt;J. Sullivan
本文提出了一种平均场理论来研究三维干泡沫中肥皂泡的几何形状和扩散生长速率。理想化的泡沫细胞称为各向同性高原多面体（IPP），与F相同的球帽面，介绍。几何特性（例如，表面积S、曲率R、边长L、体积V）和细胞生长速率作为唯一变量F的解析函数获得。IPP精确地表示了任意F ≥ 4的平均泡沫气泡几何形状，即使它们仅在F = 4，6，12时是可构造的。R/V1/3、L/V1/3和R/V2/3的比表面积均表现为F_（1/2）行为，而S/V2/3的比表面积几乎与F无关。将结果与具有平面的凸各向同性多面体的结果进行了对比。
A mean-field theory for the geometry and diffusive growth rate of soap bubbles in dry 3D foams is presented. Idealized foam cells called isotropic Plateau polyhedra (IPPs), with F identical spherical-cap faces, are introduced. The geometric properties (e.g., surface area S, curvature R, edge length L, volume V) and growth rate of the cells are obtained as analytical functions of F, the sole variable. IPPs accurately represent average foam bubble geometry for arbitrary F ≥ 4, even though they are only constructible for F = 4,6,12. While R/V1/3, L/V1/3 and exhibit F1/2 behavior, the specific surface area S/V2/3 is virtually independent of F. The results are contrasted with those for convex isotropic polyhedra with flat faces.