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首页> 美国卫生研究院文献>Proceedings of the National Academy of Sciences of the United States of America >Attractive emulsion droplets probe the phase diagram of jammed granular matter
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Attractive emulsion droplets probe the phase diagram of jammed granular matter

机译：有吸引力的乳剂液滴探查堵塞的颗粒物的相图

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摘要

It remains an open question whether statistical mechanics approaches apply to random packings of athermal particles. Although a jamming phase diagram has recently been proposed for hard spheres with varying friction, here we use a frictionless emulsion system in the presence of depletion forces to sample the available phase space of packing configurations. Using confocal microscopy, we access their packing microstructure and test the theoretical assumptions. As a function of attraction, our packing protocol under gravity leads to well-defined jammed structures in which global density initially increases above random close packing and subsequently decreases monotonically. Microscopically, the fluctuations in parameters describing each particle, such as the coordination number, number of neighbors, and local packing fraction, are for all attractions in excellent agreement with a local stochastic model, indicating that long-range correlations are not important. Furthermore, the distributions of local cell volumes can be collapsed onto a universal curve using the predicted k-gamma distribution, in which the shape parameter k is fixed by the polydispersity while the effect of attraction is captured by rescaling the average cell volume. Within the Edwards statistical mechanics framework, this result measures the decrease in compactivity with global density, which represents a direct experimental test of a jamming phase diagram in athermal systems. The success of these theoretical tools in describing yet another class of materials gives support to the much-debated statistical physics of jammed granular matter.
机译：统计力学方法是否适用于无热粒子的随机堆积仍然是一个悬而未决的问题。尽管最近已提出了一种具有可变摩擦力的硬球的堵塞相图，但在此我们在存在耗尽力的情况下使用无摩擦乳化液系统对填料结构的可用相空间进行采样。使用共聚焦显微镜，我们可以访问其包装的微观结构并测试理论假设。作为吸引力的函数，我们在重力作用下的堆积规程导致定义明确的卡塞结构，在该结构中，总体密度最初会增加到随机密堆积之上，然后单调降低。在微观上，描述每个粒子的参数波动（例如配位数，邻域数和局部堆积分数）对于所有吸引物都与局部随机模型高度吻合，这表明远程相关性并不重要。此外，可以使用预测的k-gamma分布将局部细胞体积的分布折叠到通用曲线上，其中形状参数k由多分散性固定，而吸引力的影响则通过重新调整平均细胞体积来捕获。在爱德华兹统计力学框架内，该结果衡量了压实度随整体密度的降低，这代表了对非热系统中堵塞相图的直接实验测试。这些理论工具成功地描述了另一类材料，为拥挤的粒状物质引起了广泛争议的统计物理学。

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