半稀聚合物溶液中纳米颗粒阻滞的标度

Scaling of nanoparticle retardation in semi-dilute polymer solutions.

作者信息

Tuinier Remco, Fan Tai-Hsi

机构信息

Helmholtz Zentrum Jülich, Institut für Festkörperforschung, 52425, Jülich, Germany.

Department of Mechanical Engineering, University of Connecticut, Storrs, CT 06269-3139, USA.

出版信息

Soft Matter. 2008 Jan 22;4(2):254-257. doi: 10.1039/b711902j.

DOI:10.1039/b711902j

PMID:32907237

Abstract

We analyze the scaling law for the polymer-induced retardation a nanoparticle experiences as it moves through a semi-dilute polymer solution. The translational friction is calculated from a modified Stokes flow using a local viscosity near the nanosphere. The results rationalize a general retardation factor, R = exp(Kaµcν) [T. Odijk, Biophys. J., 2000, 79, 2314], revealing scaling exponents µ = 0.77 and ν = 1, which are in agreement with experiment. We find that rotational motion also has a self-similar behavior and R can be described too by a stretched exponential with slightly different exponents.

摘要

我们分析了纳米颗粒在半稀聚合物溶液中移动时所经历的聚合物诱导延迟的标度律。通过使用纳米球附近的局部粘度，根据修正的斯托克斯流计算平移摩擦力。结果合理化了一个通用的延迟因子(R = exp(Kaµcν)) [T. 奥迪克，《生物物理杂志》，2000年，79卷，2314页]，揭示了标度指数(µ = 0.77)和(ν = 1)，这与实验结果一致。我们发现旋转运动也具有自相似行为，并且(R)也可以用具有略有不同指数的拉伸指数来描述。