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arXiv 0707.4356cond-mat.softcond-mat.stat-mech
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剪切悬浮液中的反常分布函数

Anomalous distribution functions in sheared suspensions

Jens Harting, Hans J. Herrmann, Eli Ben-Naim

摘要:

我们研究剪切硬球悬浮液的速度概率分布函数(PDF)。正如我们在斯托克斯流模拟中观察到的,并由我们的单粒子理论解释的那样,这些PDF可以显示出与麦克斯韦-玻尔兹曼分布的明显偏差。PDF在零速度周围是对称的,并且在超过六个数量级的概率上显示出高斯核和指数尾。在我们的理论和模拟数据的良好协议,我们证明了分布函数的规模与剪切速率,颗粒体积浓度,以及流体粘度。

英文摘要:

We investigate velocity probability distribution functions (PDF) of sheared hard-sphere suspensions. As observed in our Stokes flow simulations and explained by our single-particle theory, these PDFs can show pronounced deviations from a Maxwell-Boltzmann distribution. The PDFs are symmetric around zero velocity and show a Gaussian core and exponential tails over more than six orders of magnitude of probability. Following the excellent agreement of our theory and simulation data, we demonstrate that the distribution functions scale with the shear rate, the particle volume concentration, as well as the fluid viscosity.

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