Scaling law of Brownian rotation in dense hard-rod suspensions

Scaling law of Brownian rotation in dense hard-rod suspensions
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稠密硬棒悬浮液中布朗旋转的标度定律

DOI:
10.1103/physreve.102.012608
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发表时间:
2020
期刊:
影响因子:
2.4
通讯作者:
Gao, Tong
Gao, Tong
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Chen, Sheng;Yan, Wen;Gao, Tong

文献摘要

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由于空间相互作用,稠密悬浮体中的自扩散受到强几何约束。这种拓扑效应本质上是各向异性的杆时,向列对齐与他们的邻居,提出了相当大的挑战,在理解和分析其对散装物理性质的影响。通过一个经典的Doi-Onsager动力学模型与Maier-Saupe势,我们表征了长时间的旋转布朗扩散的稠密悬浮液的硬棒的有限的纵横比,基于二次方向自相关函数。此外,我们表明,作为体积分数的函数的扩散率的计算非单调缩放可以准确地预测由一个替代管模型在双相。
Self-diffusion in dense rod suspensions are subject to strong geometric constraints because of steric interactions. This topological effect is essentially anisotropic when rods are nematically aligned with their neighbors, raising considerable challenges in understanding and analyzing their impacts on the bulk physical properties. Via a classical Doi-Onsager kinetic model with the Maier-Saupe potential, we characterize the long-time rotational Brownian diffusivity for dense suspensions of hard rods of finite aspect ratios, based on quadratic orientation autocorrelation functions. Furthermore, we show that the computed nonmonotonic scalings of the diffusivity as a function of volume fraction can be accurately predicted by an alternative tube model in the nematic phase.