A MONTE-CARLO STUDY OF SIZE AND ANGULAR PROPERTIES OF A 3-DIMENSIONAL POISSON-DELAUNAY CELL

被引：10

作者：

KUMAR, S ^{[1
]}

KURTZ, SK ^{[1
]}

机构：

[1] PENN STATE UNIV,MAT RES LAB,UNIV PK,PA 16802

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 75卷 / 3-4期

关键词：

VORONOI TESSELATION; DELAUNAY TESSELATION; POISSON DISTRIBUTION; GAMMA DISTRIBUTION; NORMAL DISTRIBUTION;

D O I：

10.1007/BF02186878

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

On the basis of simulation of 1.2 x 10(6) three-dimensional Poisson-Delaunay cells, the statistical properties of their size and angular parameters have been studied. The moments of the volume, face area, and edge length distributions are found to be equal to those obtained from the exact expressions of Miles and of Moller. The volume, surface area, and face area distributions can be described by the two-parameter gamma distribution. The normal distribution can be used to describe the distributions of the total edge length of a cell and the perimeter of a face. The edge length distribution has also been studied. The distribution of the angle in a face is found to be in accordance with its theoretical distribution.(4)

引用

页码：735 / 748

页数：14

共 70 条

[1] DISTRIBUTION OF CELL VOLUMES IN A VORONOI PARTITION [J].