Dashti Hor, Saberi Abbas Ali, Rahbari S H E, Kurths J Formula See Text Rgen
Australian Institute of Bioengineering and Nanotechnology, The University of Queensland, Brisbane, QLD 4072, Australia.
School of Physics, Korea Institute for Advanced Study, Seoul 02455, Korea.
Sci Adv. 2023 Sep;9(35):eadh5586. doi: 10.1126/sciadv.adh5586. Epub 2023 Sep 1.
Jammed granular media and glasses exhibit spatial long-range correlations as a result of mechanical equilibrium. However, the existence of such correlations in the flowing matter, where the mechanical equilibrium is unattainable, has remained elusive. Here, we investigate this problem in the context of the percolation of interparticle forces in flowing granular media. We find that the flow rate introduces an effective long-range correlation, which plays the role of a relevant perturbation giving rise to a spectrum of varying exponents on a critical line as a function of the flow rate. Our numerical simulations along with analytical arguments predict a crossover flow rate [Formula: see text] below which the effect of induced disorder is weak and the universality of the force chain structure is shown to be given by the standard rigidity percolation. We also find a power-law behavior for the critical exponents with the flow rate [Formula: see text].
由于机械平衡，堵塞的颗粒介质和玻璃呈现出空间长程相关性。然而，在无法达到机械平衡的流动物质中，这种相关性的存在一直难以捉摸。在这里，我们在流动颗粒介质中粒子间力的渗流背景下研究这个问题。我们发现流速引入了一种有效的长程相关性，它起到了相关微扰的作用，在临界线上产生了一系列随流速变化的指数谱。我们的数值模拟以及分析论证预测了一个交叉流速[公式：见原文]，低于该流速时，诱导无序的影响较弱，并且力链结构的普适性由标准刚性渗流给出。我们还发现临界指数随流速[公式：见原文]呈现幂律行为。
