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arXiv 1906.04896cond-mat.soft
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不断增长的颗粒堆中的连续流到间歇流

Continuous to intermittent flows in growing granular heaps

L. Alonso-Llanes, E. Martínez, A. J. Batista-Leyva, R. Toussaint, E. Altshuler

摘要:

如果一种粒状材料从上面倒在两个平行的垂直板之间的水平表面上,沙堆会随着时间的推移而增加。对于小堆,颗粒平稳地向下流动,但在临界堆尺寸$X_c$之后,流动变得间歇性:突然的雪崩从顶点向下滑动到底部,然后是一个缓慢向上爬的“上坡锋”,直到新的下坡雪崩中断该过程。通过控制沙堆顶点与从上方进料的容器之间的距离的实验,我们表明,$X_c$与输入流量成线性增长,但与进料高度的平方根成比例。我们解释这些事实的基础上的现象学模型的基础上的实验观察,流动的颗粒相形成一个“楔”上的静态的,不同的情况下,固定堆。此外,我们表明,我们的控制实验允许预测值的$X_c$的常见情况下,进料高度降低,因为桩的大小增加。

英文摘要:

If a granular material is poured from above on a horizontal surface between two parallel, vertical plates, a sand heap grows in time. For small piles, the grains flow smoothly downhill, but after a critical pile size $X_c$, the flow becomes intermittent: sudden avalanches slide downhill from the apex to the base, followed by an "uphill front" that slowly climbs up, until a new downhill avalanche interrupts the process. By means of experiments controlling the distance between the apex of the sandpile and the container feeding it from above, we show that $X_c$ grows linearly with the input flux, but scales as the square root of the feeding height. We explain these facts based on a phenomenological model based on the experimental observation that the flowing granular phase forms a "wedge" on top of the static one, differently from the case of stationary heaps. Moreover, we demonstrate that our controlled experiments allow to predict the value of $X_c$ for the common situation in which the feeding height decreases as the pile increases in size.

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