论文标题

不同功率大小分布的堵塞颗粒的常见填料模式

Common Packing Patterns for Jammed Particles of Different Power Size Distributions

论文作者

Shimamoto, Daisuke, Yanagisawa, Miho

论文摘要

我们引入了与单分散和竞标系统相比,大小极度分散的颗粒模型。在两个维度(2D)中,尺寸多分散性抑制结晶并增加干扰点的堆积分数。但是,尚未报道过多种多分散颗粒常见的包装模式。我们专注于具有功率尺寸分布$ r^{ - a} $的多分散粒子,作为一种无处不在的系统,可以预期会不变。我们在实验和数字构造的2D随机填料中,用于具有不同尺寸指数的各种多分散粒子,$ a $。对包装模式的分析显示,$ a <3 $的共同接触数分布和$ 2 <a <3 $的干扰点比单分散系统更高。这些发现表明,特征长度的歧义提供了通用特性,从而导致多分散粒子的新分类方案。

We introduce a model for particles that are extremely polydisperse in size compared to monodisperse and bidisperse systems. In two dimensions (2D), size polydispersity inhibits crystallization and increases packing fraction at jamming points. However, no packing pattern common to diverse polydisperse particles has been reported. We focused on polydisperse particles with a power size distribution $r^{-a}$ as a ubiquitous system that can be expected to be scale-invariant. We experimentally and numerically constructed 2D random packing for various polydisperse particles with different size exponents, $a$. Analysis of the packing pattern revealed a common contact number distribution for $a<3$ and a higher jamming point in $2<a<3$ than monodisperse systems. These findings demonstrate that the ambiguity of the characteristic length provides the common properties that leads to a novel classification scheme for polydisperse particles.

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