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arXiv · 2308.04219

Anomalous large-scale collective motion in granular Brownian vibrators

Yangrui Chen·Jie Zhang
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Abstract

Using Brownian vibrators, we conducted a study on the structures and dynamics of quasi-2d granular materials with packing fractions ($\phi$) ranging from 0.111 to 0.832. Our observations revealed a remarkable large-scale collective motion in hard granular disk systems, encompassing four distinct phases: granular fluid, collective fluid, poly-crystal, and crystal. The collective motion emerge at $\phi=$0.317, coinciding with a peak in local density fluctuations. However, this collective motion ceased to exist at $\phi=$0.713 when the system transitioned into a crystalline state. While the poly-crystal and crystal phases exhibited similarities to equilibrium hard disks, the first two phases differed significantly from the equilibrium systems and previous experiments involving uniformly driven spheres. This disparity suggests that the collective motion arises from a competition controlled by volume fraction. Specifically, it involves an active force and an effective attractive interaction resulting from inelastic particle collisions. Remarkably, these findings align with recent theoretical research on the flocking motion of spherical active particles without alignment mechanisms.

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Yangrui Chen, Jie Zhang. 2023-08-08. Anomalous large-scale collective motion in granular Brownian vibrators. https://arxiv.org/abs/2308.04219

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