Critical scaling of shearing rheology at the jamming transition of soft-core frictionless disks
Critical scaling of shearing rheology at the jamming transition of soft-core frictionless disks
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DOI：
10.1103/physreve.83.030302
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发表时间：
2011-03-17
影响因子：
2.4
通讯作者：
Teitel, S.
中科院分区：
文献类型：
--
作者：
Olsson, Peter;Teitel, S.
通过数值模拟，确定了零温度下软盘模型中稳态剪切流在干扰转捩phi(J)附近的剪切应力和剪切压力。我们使用临界点缩放分析来确定干扰时的临界行为，我们发现对于可靠的分析来说，包括缩放修正是至关重要的。我们发现，对于压力，这些修正的相对尺寸要比剪切应力小得多。我们进一步发现压力和剪应力在phi(J)以上的超线性行为，无论是从标度分析还是从压力数据的直接分析推断到消失剪切速率的极限。
We perform numerical simulations to determine the shear stress and pressure of steady-state shear flow in a soft-disk model in two dimensions at zero temperature in the vicinity of the jamming transition phi(J). We use critical point scaling analyses to determine the critical behavior at jamming, and we find that it is crucial to include corrections to scaling for a reliable analysis. We find that the relative size of these corrections are much smaller for pressure than for shear stress. We furthermore find a superlinear behavior for pressure and shear stress above phi(J), both from the scaling analysis and from a direct analysis of pressure data extrapolated to the limit of vanishing shear rate.