Anisotropic decay of the energy spectrum in two-dimensional dense granular flows
Anisotropic decay of the energy spectrum in two-dimensional dense granular flows
复制标题
二维致密颗粒流中能谱的各向异性衰减
DOI：
10.1103/physreve.96.012903
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发表时间：
2017
影响因子：
2.4
通讯作者：
Hideyuki Mizuno
中科院分区：
文献类型：
--
作者：
Kuniyasu Saitoh;Hideyuki Mizuno
我们研究简单剪切变形下二维颗粒粒子的各向异性集体运动。采用大系统尺寸的分子动力学模拟，我们发现在准静态变形下产生的系统中产生各向异性流化带，其中与湍流能谱相关的非仿射速度谱呈现出四极结构。为了从理论上解释各向异性谱，我们从致密颗粒材料的连续介质模型中推导出流体动力学模式，其中我们发现流化带是由以可压缩性为特征的长期流体动力学波动引起的。
We study anisotropic collective motions of two-dimensional granular particles under simple shear deformations. Employing molecular-dynamics simulations of large system sizes, we find that anisotropic fluidized bands develop in the system yielding under quasistatic deformations, where the spectrum of nonaffine velocities, which is associated with the energy spectrum for turbulent flows, exhibits a quadrupole structure. To explain theoretically the anisotropic spectrum, we derive hydrodynamic modes from a continuum model of dense granular materials, where we find that fluidized bands are caused by long-lived hydrodynamic fluctuations characterized by compressibility.