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arXiv 1202.0413cond-mat.soft
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冲击波在颗粒流中的传播

Shock Propagation in Granular Flow Subjected to an External Impact

Sudhir N. Pathak, Zahera Jabeen, Purusattam Ray, R. Rajesh

摘要:

我们分析了最近的一个实验[物理学评论快报,{ \bf 103},224501(2009)],其中定量地研究了由钢球在玻璃珠的流动单层上的冲击产生的冲击。我们认为,径向动量守恒的过程中,因此表明,在二维的激波半径增加的时间$t$作为一个幂律$t^{1/3}$。这在非弹性硬球系统的事件驱动模拟中得到了证实。实验数据与理论预测进行了比较,并显示比较以及在中间时间。在后期,实验数据表现出交叉到不同的标度行为。我们把这归因于问题变得有效的三维由于在冲击波前的颗粒的积累,并提出了一个简单的硬球模型,其中包括这种效果。该模型的模拟捕获了实验数据中看到的交叉。

英文摘要:

We analyze a recent experiment [Phys. Rev. Lett., {\bf103}, 224501 (2009)] in which the shock, created by the impact of a steel ball on a flowing monolayer of glass beads, is quantitatively studied. We argue that radial momentum is conserved in the process, and hence show that in two dimensions the shock radius increases in time $t$ as a power law $t^{1/3}$. This is confirmed in event driven simulations of an inelastic hard sphere system. The experimental data are compared with the theoretical prediction, and is shown to compare well at intermediate times. At late times, the experimental data exhibit a crossover to a different scaling behavior. We attribute this to the problem becoming effectively three dimensional due to accumulation of particles at the shock front, and propose a simple hard sphere model which incorporates this effect. Simulations of this model capture the crossover seen in the experimental data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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