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arXiv 0907.3451cond-mat.softcond-mat.stat-mech
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广义均衡图象中摩擦颗粒的临界堵塞

Critical jamming of frictional grains in the generalized isostaticity picture

S. Henkes, M. van Hecke, W. van Saarloos

摘要:

无摩擦球在卡阻时是均衡的,而摩擦球在卡阻时不是。结果,在卡阻附近的摩擦球不一定表现出过量的软模式。然而,如果库仑摩擦阈值处的完全活动接触被认为是滑动接触,则可以引入均衡性的一般形式。我们在这里表明,在这个框架中,摩擦盘的振动态密度(DOS)表现出一个平台时,广义等静压线接近。弹性行为的交叉频率与距该线的距离呈线性关系。此外,我们表明,无摩擦的极限,这似乎是奇异的充分动员接触时,弹性处理,变得光滑时,充分动员接触允许滑动。

英文摘要:

While frictionless spheres at jamming are isostatic, frictional spheres at jamming are not. As a result, frictional spheres near jamming do not necessarily exhibit an excess of soft modes. However, a generalized form of isostaticity can be introduced if fully mobilized contacts at the Coulomb friction threshold are considered as slipping contacts. We show here that, in this framework, the vibrational density of states (DOS) of frictional discs exhibits a plateau when the generalized isostaticity line is approached. The crossover frequency to elastic behavior scales linearly with the distance from this line. Moreover, we show that the frictionless limit, which appears singular when fully mobilized contacts are treated elastically, becomes smooth when fully mobilized contacts are allowed to slip.

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