Dynamic length scales in athermal, shear-driven jamming of frictionless disks in two dimensions

Dynamic length scales in athermal, shear-driven jamming of frictionless disks in two dimensions
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二维无摩擦盘非热、剪切驱动干扰的动态长度尺度

DOI:
10.1103/physreve.102.042906
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发表时间:
2020
期刊:
影响因子:
2.4
通讯作者:
Teitel, S.
Teitel, S.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Olsson, Peter;Teitel, S.

文献摘要

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我们进行了数值模拟的非热剪切,双分散,无摩擦盘在两个维度。从一个适当定义的速度相关函数,我们确定有两个不同的长度尺度,和,作为干扰过渡接近。我们分析了我们的结果,使用一个关键的缩放的相关函数,并认为,更发散的是,这是一个危险的不相关的缩放变量的后果,它是,这是相关的长度,确定的发散系统粘度的堵塞接近从下面的液相。我们发现,发散的临界指数。我们提供的证据表明,测量的长度尺度的波动在旋转的粒子速度场,whilemeasures的波动在发散的速度场。
We carry out numerical simulations of athermally sheared, bidisperse, frictionless disks in two dimensions. From an appropriately defined velocity correlation function, we determine that there are two diverging length scales,and, as the jamming transition is approached. We analyze our results using a critical scaling ansatz for the correlation function and argue that the more divergent lengthis a consequence of a dangerous irrelevant scaling variable and that it is, which is the correlation length that determines the divergence of the system viscosity as jamming is approached from below in the liquid phase. We find thatdiverges with the critical exponent. We provide evidence thatmeasures the length scale of fluctuations in the rotation of the particle velocity field, whilemeasures the length scale of fluctuations in the divergence of the velocity field.