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arXiv 1506.05041cond-mat.soft
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干扰转换的协议依赖性

Protocol dependence of the jamming transition

T. Bertrand, R. P. Behringer, B. Chakraborty, C. S. O'Hern, M. D. Shattuck

摘要:

我们提出了一个理论框架,用于预测通过纯粹排斥接触力相互作用的无摩擦球形粒子的堵塞转变的协议依赖性。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诱导堵塞在最初未堵塞填料从测量的概率堵塞在包装分数$ϕ$从各向同性压缩。我们比较我们的预测干扰的数值模拟结果,并找到定量协议。我们还表明,包装分数的范围内,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。

英文摘要:

We propose a theoretical framework for predicting the protocol dependence of the jamming transition for frictionless spherical particles that interact via purely 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 induce jamming in initially unjammed packings from the measured probability to jam at packing fraction $ϕ$ from isotropic compression. We compare our predictions to results from numerical simulations of jamming and find quantitative agreement. We also show that the packing fraction range, over which strain-induced jamming occurs, tends to zero in the large system limit for frictionless packings with overdamped dynamics.

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