PROPERTIES OF A 3-DIMENSIONAL POISSON-VORONOI TESSELATION - A MONTE-CARLO STUDY

被引：139

作者：

KUMAR, S

KURTZ, SK

BANAVAR, JR

SHARMA, MG

机构：

[1] PENN STATE UNIV,DEPT ELECT & COMP ENGN,UNIV PK,PA 16802

[2] PENN STATE UNIV,ENGN SCI & MECH,UNIV PK,PA 16802

[3] PENN STATE UNIV,DEPT PHYS,UNIV PK,PA 16802

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 67卷 / 3-4期

关键词：

VORONOI CELL; POISSON; GAMMA-DISTRIBUTION; LOGNORMAL DISTRIBUTION;

D O I：

10.1007/BF01049719

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A complete statistical description of the properties of a cellular microstructure generated by a three-dimensional Poisson-Voronoi tesselation has been obtained by a rigorous computer simulation involving several hundred thousand cells. A two-parameter gamma distribution is found to be a good fit to the cell's face, volume, and surface area distributions. For a sample size of several thousand cells or less, a lognormal distribution can also be used to approximate these distributions. The individual face, area, and edge length distributions are also obtained.

引用

页码：523 / 551

页数：29

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