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arXiv 1402.2855cond-mat.soft
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二维U形粒子的压剪驱动干扰

Compression- and Shear-Driven Jamming of U-Shaped Particles in Two Dimensions

Theodore Marschall, Scott V. Franklin, S. Teitel

摘要:

我们进行数值模拟软,U形,无摩擦粒子在$d=2$尺寸,以探讨复杂的粒子形状的干扰过渡的影响。我们认为这两种情况下,均匀的压缩驱动和剪切驱动的堵塞作为包装分数$ϕ$和压缩或剪切速率是变化的。在缓慢压缩时,发现当均衡条件满足时发生堵塞。在驱动稳态剪切下,在比压缩中观察到的更高的填充分数$ϕ_J$下发生堵塞。随着$ϕ$向$ϕ_J$方向增加,弛豫时间和平移相关长度都在增加。我们考虑了剪切流引起的粒子的取向有序和旋转。发现了双有序和四有序,但随着$ϕ$增加到$ϕ_J$,这些顺序降低。在干扰转变时,取向有序进一步减小,而四次有序增加,但取向相关长度始终保持较小。发现粒子的平均角速度随着$ϕ$的增加而增加,饱和到刚好低于$ϕ_J$的平台,但是随后随着$ϕ$增加到高于$ϕ_J$而再次增加。

英文摘要:

We carry out numerical simulations of soft, U-shaped, frictionless particles in $d=2$ dimensions in order to explore the effects of complex particle shape on the jamming transition. We consider both cases of uniform compression-driven and shear-driven jamming as packing fraction $ϕ$ and compression or shear rate is varied. Upon slow compression, jamming is found to occur when the isostatic condition is satisfied. Under driven steady state shearing, jamming occurs at a higher packing fraction $ϕ_J$ than observed in compression. A growing relaxation time and translational correlation length is found as $ϕ$ increases towards $ϕ_J$. We consider the orientational ordering and rotation of particles induced by the shear flow. Both nematic and tetratic ordering are found, but these decrease as $ϕ$ increases to $ϕ_J$. At the jamming transition, the nematic ordering further decreases, while the tetratic ordering increases, but the orientational correlation lengths remain small throughout. The average angular velocity of the particles is found to increase as $ϕ$ increases, saturating to a plateau just below $ϕ_J$, but then increasing again as $ϕ$ increases above $ϕ_J$.

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