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arXiv 0903.5499cond-mat.softcond-mat.dis-nn
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振捣持续时间对振动颗粒介质稳态密度的影响

The role of tap duration for the steady state density of vibrated granular media

J. A. Dijksman, M. van Hecke

摘要:

我们重新审视的问题,压实的一列颗粒物质暴露于离散的水龙头。我们精确地控制立柱的垂直运动,这允许我们独立地改变单周期正弦抽头的持续时间T和幅度A。我们发现,在可逆分支的材料的密度依赖于A和T。通过比较在一系列T值下获得的可逆分支上的密度,我们发现,当绘制为A/T的函数时,我们可以折叠所有数据,A/T的尺度类似于填料的起飞速度和飞行时间。我们进一步表明,获得不同的A和T,但选择这样的可逆分支上的密度匹配的状态之间的切换,不会导致明显的滞后。我们得出结论,正弦攻丝的适当控制参数不是通常假设的峰值加速度\sim A/T^2,而是\sim A/T。

英文摘要:

We revisit the problem of compaction of a column of granular matter exposed to discrete taps. We accurately control the vertical motion of the column, which allows us to vary the duration T and the amplitude A of single-cycle sinusoidal taps independently. We find that the density of the material at the reversible branch depends both on A and T. By comparing the densities on the reversible branches obtained for a range of values of T, we find that we can collapse all data when plotted as function of A/T, which scales similar to both the liftoff velocity and the time of flight of the packing. We further show that switching between states obtained for different A and T, but chosen such that their densities on the reversible branches match, does not lead to appreciable hysteresis. We conclude that the appropriate control parameter for sinusoidal tapping is not the peak acceleration Γ\sim A/T^2, as is usually assumed, but rather ΓT \sim A/T.

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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