Critical scaling of shear viscosity at the jamming transition
Critical scaling of shear viscosity at the jamming transition
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DOI：
10.1103/physrevlett.99.178001
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发表时间：
2007-10-26
影响因子：
8.6
通讯作者：
Teitel, S.
中科院分区：
文献类型：
--
作者：
Olsson, Peter;Teitel, S.
本文通过数值模拟研究了模型颗粒材料在零温度下的二维干扰转变的输运行为。对于具有软核相互作用的扩散运动颗粒，剪切粘度eta作为颗粒体积密度p和施加剪切应力sigma的函数计算。我们发现，作为缩放变量sigma/竖条p(c) - p竖条（Delta）的函数，我们的数据具有出色的缩放坍缩，其中p(c)是sigma = 0（“J点”）时的临界密度，而Delta是交叉缩放临界指数。我们从驱动稳态中的速度相关性定义了一个相关长度xi，并表明它在j点发散。我们的结果支持了干扰是一个真正的二阶临界现象的断言。
We carry out numerical simulations to study transport behavior about the jamming transition of a model granular material in two dimensions at zero temperature. Shear viscosity eta is computed as a function of particle volume density p and applied shear stress sigma, for diffusively moving particles with a soft core interaction. We find an excellent scaling collapse of our data as a function of the scaling variable sigma/vertical bar p(c) - p vertical bar(Delta), where p(c) is the critical density at sigma = 0 ("point J''), and Delta is the crossover scaling critical exponent. We define a correlation length xi from velocity correlations in the driven steady state and show that it diverges at point J. Our results support the assertion that jamming is a true second-order critical phenomenon.