Understanding disordered particle packings is of great significance from both theoretical and engineering perspectives. Establishing a quantitative relationship between nonspherical particle shape and disordered packing properties is generally challenging, due to the complex geometry and topology. Here we resolve this issue by numerically investigating disordered jammed packings of various frictional congruent nonspherical particles, including superellipsoids and polyhedra, over a wide range of friction coefficients. We discover several universal packing characteristics across different particle shapes and frictions. In the infinite friction limit, the coordination numbers for all shapes approach the identical lower bound for jamming. The resulting “random loose packing” (RLP) state possesses minimal structural correlations, with the packing fraction as a simple monotonic decreasing function of the orientation-averaged excluded volume for different particle shapes. Packings with finite friction can then be understood via a perturbative approach based on RLP. The nature of RLP can be illuminated by the percolation transition of contacting particle network during the quasistatic densification process. Moreover, the large-scale density fluctuations for all jammed frictional packings are also strongly suppressed, broadening the previous claim of hyperuniformity for the frictionless ones.

中文翻译：

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卡住摩擦填料的普遍性

从理论和工程角度了解无序颗粒堆积具有重要意义。由于复杂的几何形状和拓扑结构，在非球形颗粒形状和无序堆积特性之间建立定量关系通常具有挑战性。在这里，我们通过数值研究各种摩擦全等非球形粒子（包括超椭球体和多面体）在很宽的摩擦系数范围内的无序堵塞填充来解决这个问题。我们发现了不同颗粒形状和摩擦力的几种通用包装特性。在无限摩擦极限下，所有形状的配位数接近相同的干扰下限。由此产生的“随机松散堆积”（RLP）状态具有最小的结构相关性，填充分数是不同颗粒形状的取向平均排除体积的简单单调递减函数。然后可以通过基于 RLP 的微扰方法来理解具有有限摩擦的填料。RLP 的性质可以通过准静态致密化过程中接触粒子网络的渗透转变来阐明。此外，所有堵塞的摩擦填料的大规模密度波动也被强烈抑制，扩大了先前关于无摩擦填料的超均匀性的主张。RLP 的性质可以通过准静态致密化过程中接触粒子网络的渗透转变来阐明。此外，所有堵塞的摩擦填料的大规模密度波动也被强烈抑制，扩大了先前关于无摩擦填料的超均匀性的主张。RLP 的性质可以通过准静态致密化过程中接触粒子网络的渗透转变来阐明。此外，所有堵塞的摩擦填料的大规模密度波动也被强烈抑制，扩大了先前关于无摩擦填料的超均匀性的主张。