Relation between volume, number of faces and three-dimensional growth laws in coarsening cellular patterns
Relation between volume, number of faces and three-dimensional growth laws in coarsening cellular patterns
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DOI：
10.1080/09500839308242429
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发表时间：
1993-12
影响因子：
1.2
通讯作者：
D. Weaire;J. Glazier
中科院分区：
文献类型：
--
作者：
D. Weaire;J. Glazier
最近建立的三维扩散粗化的线性生长定律表明，15·8面的颗粒平均为零生长，而图形中每个颗粒的平均面数为13·7±0·1。在众所周知的二维情况下，具有六条边(平均数量)的颗粒为零生长。我们证明，三维零增长值只是该定律的线性形式和每颗粒平均面积与面数的立方依赖的结果。
Abstract The recently established linear growth law for three-dimensional diffusive coarsening shows zero average growth for grains with 15·8 faces, while the average number of faces per grain in the pattern is 13·7 ± 0·1. In the better-known two-dimensional case, grains with six sides (the average number) show zero growth. We show that the three-dimensional zero growth value is a consequence only of the linear form of the law and the cubic dependence of average area per grain on the number of faces.