论文标题

粒子无序包装中接触力分布的玻尔兹曼类型方程的玩具模型

The toy-model of the Boltzmann type equation for the contact force distribution in disordered packings of particles

论文作者

Grinev, Dmitry

论文摘要

与邻居接触的硬核颗粒的包装被认为是无序颗粒培养基的最简单模型。我们制定了静态确定的问题,该问题允许对接触力量幅度的统计分布进行分析研究。玻尔兹曼类型方程的玩具模型是对接触力分布的可能性的制定和研究的。实验观察到的指数分布得出。

The packing of hard-core particles in contact with their neighbors is considered as the simplest model of disordered particulate media. We formulate the statically determinate problem which allows analytical investigation of the statistical distribution of contact force magnitude. The toy-model of the Boltzmann type equation for the probability of contact force distribution is formulated and studied. An experimentally observed exponential distribution is derived.

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