arXiv 1606.093022016-06-29cond-mat.soft

非稀Polymer溶液动力学的流体动力学标度模型综述

The Hydrodynamic Scaling Model for the Dynamics of Non-Dilute Polymer Solutions: A Comprehensive Review

George D. J. Phillies

备注：: 58 pages, 167 equations, 116 references

摘要：

本文对聚合物稀溶液和非稀溶液动力学的流体动力学标度模型进行了全面的综述。流体动力学标度模型与其他一些非稀释聚合物溶液的处理方法不同，因为它需要高浓度的聚合物动力学由溶剂介导的流体动力学相互作用主导，假定链交叉约束最多会产生二次校正。许多其他模型采取相反的立场，即链交叉约束主导的动态nondilute聚合物溶液，而流体动力学的相互作用只创建二次校正。本文以历史回顾开始。然后，我们考虑单链的行为，特别是柯克伍德-里斯曼模型，柯克伍德-里斯曼和更熟悉的Rouse-Zimm模型之间的矛盾被强调。一个扩展的Kirkwood-Riseman模型，使链间的流体动力学相互作用的开发和应用产生的自扩散系数和低剪切粘度的伪维里系列。要外推到大的浓度，基于自相似性和Altenberger-Dahler正函数重整化群的原理被开发并应用于$D_{s}$和$η$的pseudovirial系列。基于重整化群方法，引入了一种双参数时间尺度分析方法，以确定存储模量和损耗模量的频率依赖性。一个简短的描述是为每个单独的文件，开发的流体动力学缩放模型。现象学的证据支持方面的模型指出。最后，提出了水动力尺度模型的发展方向。

英文摘要：

This article presents a comprehensive review of the Hydrodynamic Scaling Model for the dynamics of polymers in dilute and nondilute solutions. The Hydrodynamic Scaling Model differs from some other treatments of non-dilute polymer solutions in that it takes polymer dynamics up to high concentrations to be dominated by solvent-mediated hydrodynamic interactions, with chain crossing constraints presumed to create at most secondary corrections. Many other models take the contrary stand, namely that chain crossing constraints dominate the dynamics of nondilute polymer solutions, while hydrodynamic interactions only create secondary corrections. This article begins with a historical review. We then consider single-chain behavior, in particular the Kirkwood-Riseman model; contradictions between the Kirkwood-Riseman and more familiar Rouse-Zimm models are emphasized. An extended Kirkwood-Riseman model that gives interchain hydrodynamic interactions is developed and applied to generate pseudovirial series for the self-diffusion coefficient and the low-shear viscosity. To extrapolate to large concentrations, rationales based on self-similarity and on the Altenberger-Dahler Positive-Function Renormalization Group are developed and applied to the pseudovirial series for $D_{s}$ and $η$. Based on the renormalization group method, a two-parameter temporal scaling ansatz is invoked as a path to determining the frequency dependences of the storage and loss moduli. A short description is given for each of the individual papers that developed the Hydrodynamic Scaling Model. Phenomenological evidence supporting aspects of the model is noted. Finally, directions for future development of the Hydrodynamic Scaling Model are presented.

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