Packing Densities of Mixtures of Spheres with Log-normal Size Distributions
Packing Densities of Mixtures of Spheres with Log-normal Size Distributions
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具有对数正态尺寸分布的球体混合物的堆积密度
DOI：
10.1038/physci238031a0
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发表时间：
1972
期刊：
影响因子：
--
通讯作者：
D. W. Tanner
中科院分区：
文献类型：
--
作者：
A. Dexter;D. W. Tanner
几种常见的颗粒材料具有粒度分布，其通过对数正态分布函数很好地描述，即，存在的粒度的重量相对于相应粒径的对数正态分布。Griffith1在理论上证明了这种分布是合理的，在粉碎系统中，所有的颗粒都有相等的破碎机会。地球上高纬度地区主要由冰川作用产生的土壤提供了近似服从对数正态函数的颗粒系统的极好例子。人们还发现，这种分布也适用于田间土壤中更高层次的组织，即称为土块或碎屑的颗粒聚集体，尽管在这种情况下形成的机制还不太清楚。
SEVERAL common granular materials have a spread of particle sizes which is well described by a log-normal distribution function, that is, the weights of the particle sizes present are distributed normally with respect to the logarithms of the respective particle diameters. This distribution has been justified theoretically by Griffith1in the case of a comminuted system in which all of the particles have an equal chance of being broken. Soils produced largely by glaciation in the higher latitudes on Earth provide excellent examples of granular systems which approximately obey the log-normal function. It has also been found that this distribution is applicable to the next higher level of organization in field soils, the aggregates of particles which are known as clods or crumbs, although the mechanism of formation is less well understood in this case2.