强受阻杆各向异性扩散的有效Perrin理论
Effective Perrin theory for the anisotropic diffusion of a strongly hindered rod
摘要：
细长杆在集中悬浮液构成强烈的相互作用系统与丰富的动态：运输急剧减慢和各向异性的运动变得任意大。我们开发了一个介观描述的动态下到粒子间距离的长度尺度。我们的理论是基于Smoluchowski-Perrin方程的精确解，它是在密集的政权与广泛的布朗动力学模拟定量协议。特别是，我们表明，管限制的特点是由幂律衰减的中间散射函数的指数为1/2。
英文摘要：
Slender rods in concentrated suspensions constitute strongly interacting systems with rich dynamics: transport slows down drastically and the anisotropy of the motion becomes arbitrarily large. We develop a mesoscopic description of the dynamics down to the length scale of the interparticle distance. Our theory is based on the exact solution of the Smoluchowski-Perrin equation; it is in quantitative agreement with extensive Brownian dynamics simulations in the dense regime. In particular, we show that the tube confinement is characterised by a power law decay of the intermediate scattering function with exponent 1/2.
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