EQUIPARTITION OF PARTICLES FORMING CLUSTERS BY INELASTIC-COLLISIONS

被引：12

作者：

SIBUYA, M

KAWAI, T

SHIDA, K

机构：

[1] KEIO UNIV,DEPT PHYS,KOHOKU KU,YOKOHAMA,KANAGAWA 223,JAPAN

[2] KEIO UNIV,DEPT COMP SCI,KOHOKU KU,YOKOHAMA,KANAGAWA 223,JAPAN

来源：

PHYSICA A | 1990年 / 167卷 / 03期

关键词：

D O I：

10.1016/0378-4371(90)90286-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Free particles form clusters by inelastic collisions. When the number N of particles is finite, the motion is one-dimensional, and the coefficient of restitution is zero, collisions cease within a finite time and the particles are grouped into clusters of various sizes. It was recently found through numerical experiments that the average number of clusters of size n is 1 n, n = 1, 2, ..., N, for any N. Here we prove this fact mathematically under more general assumptions than those of the reported experiments. Thus, a particle belongs finally to a cluster of size n with the equal probability 1 n. Additional statistical properties are also discussed. © 1990.

引用

页码：676 / 689

页数：14