Protocol dependence of the jamming transition
Protocol dependence of the jamming transition
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DOI：
10.1103/physreve.93.012901
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发表时间：
2016-01-11
影响因子：
2.4
通讯作者：
Shattuck, Mark D.
中科院分区：
文献类型：
--
作者：
Bertrand, Thibault;Behringer, Robert P.;Shattuck, Mark D.
我们提出了一个理论框架，预测协议的依赖性的干扰过渡的无摩擦的球形粒子，通过排斥接触力相互作用。我们研究了通过两个协议：各向同性压缩和简单剪切等静压堵塞盘填料。我们表明，无摩擦系统，所有堵塞的包装可以通过任何协议。然而，获得特定堵塞包装的概率取决于包装生成协议。我们预测的平均剪切应变所需的堵塞最初未堵塞各向同性压缩填料的堵塞填料的密度，形状的吸引力的盆地，和路径遍历配置空间。我们比较我们的预测模拟剪切应变引起的干扰，并找到定量协议。我们还表明，包装分数范围内，剪切应变引起的干扰发生，趋于零的大系统限制无摩擦填料过阻尼动态。
We propose a theoretical framework for predicting the protocol dependence of the jamming transition for frictionless spherical particles that interact via repulsive contact forces. We study isostatic jammed disk packings obtained via two protocols: isotropic compression and simple shear. We show that for frictionless systems, all jammed packings can be obtained via either protocol. However, the probability to obtain a particular jammed packing depends on the packing-generation protocol. We predict the average shear strain required to jam initially unjammed isotropically compressed packings from the density of jammed packings, shape of their basins of attraction, and path traversed in configuration space. We compare our predictions to simulations of shear strain-induced jamming and find quantitative agreement. We also show that the packing fraction range, over which shear strain-induced jamming occurs, tends to zero in the large system limit for frictionless packings with overdamped dynamics.