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arXiv 2102.07130cond-mat.softcond-mat.dis-nnnlin.PS
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空间网络中相关输运优先子网络的出现:关于密集无序颗粒材料中力链的普遍性

Emergence of preferred subnetwork for correlated transport in spatial networks: On the ubiquity of force chains in dense disordered granular materials

K. P. Krishnaraj

摘要:

在致密颗粒材料和其他无热颗粒聚集体中的应力是通过颗粒间接触的视觉上引人注目的子网络传递的,其中的附加段被称为力链。在结构无序的介质中,组分主要通过物理接触相互作用,这种优选的子网络的出现还没有完全理解。在这项工作中,我们研究了随机几何图(RGG)中的局部相关输运,并显示了优先子网络的自发出现。我们的研究结果表明,尽管结构紊乱,系统跨越本地化的通量通过空间网络传输可以出现从短程相关。该子网络的空间和统计特征与模拟晶粒组装体中的强力网络惊人地相似,并提供了对力链的结构和空间尺度的重要性的见解。

英文摘要:

Stress in dense granular materials and other athermal particle aggregates is transmitted through a visually striking subnetwork of interparticle contacts, the filamentary segments of which are referred to as force chains. The emergence of such preferred subnetwork in structurally disordered media with constituents interacting primarily by physical contact is not fully understood. In this work, we study locally correlated transport in Random Geometric Graphs (RGGs), and show the spontaneous emergence of preferred subnetwork. Our findings reveal that, despite structural disorder, system spanning localization of fluxes transmitted through a spatial network can emerge from short ranged correlations. The spatial and statistical features of the subnetwork are surprisingly similar to the strong force network in simulated grain assemblies, and provides insights on the structure and spatial scale of significance of the force chains.

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