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半柔性棒状高分子高度缠结溶液的动力学和粘弹性模拟

Simulations of dynamics and viscoelasticity in highly entangled solutions of semiflexible rods.

作者信息

Ramanathan Shriram, Morse David C

机构信息

Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Jul;76(1 Pt 1):010501. doi: 10.1103/PhysRevE.76.010501. Epub 2007 Jul 6.

DOI:10.1103/PhysRevE.76.010501
PMID:17677401
Abstract

Brownian dynamics simulations are used to study highly entangled solutions of semiflexible polymers. Bending fluctuations of semiflexible rods are significantly affected by entanglement only above a concentration c(), where c() approximately 10(3)L(-3) for chains of length L similar to their persistence length. For c>c(), the tube radius R(e) approaches a dependence R(e) proportional to c(-35) and the linear viscoelastic response develops an elastic plateau that is absent for c<c(). Experiments on isotropic solutions of F-actin are shown to span concentrations near c(**) for which the predicted asymptotic scaling of the plateau modulus, G proportional to c(75), is not yet valid.

摘要

布朗动力学模拟用于研究半柔性聚合物的高度缠结溶液。仅在浓度c()以上,半柔性棒的弯曲波动才会受到缠结的显著影响,对于长度L与其持久长度相似的链,c()约为10(3)L(-3)。对于c>c(),管半径R(e)趋近于与c(-35)成比例的依赖关系R(e),并且线性粘弹性响应会形成一个弹性平台,而对于c<c()则不存在该弹性平台。对F-肌动蛋白各向同性溶液的实验表明,其浓度范围接近c(**),在此浓度下,预测的平台模量渐近标度G与c(75)成比例尚无效。

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