聚合物溶液珠/弹簧模型的固有应力与双折射张量的频率依赖性

A. Peterlin, J. Fong
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引用次数: 2

摘要

最近得到的水动力扩散方程中矩阵H A和H同时对角化的完全解,基本上改变了溶液中孤立大分子弹性随机线圈模型中所有珠间水动力相互作用的对称矩阵H的对角值vp。由于这些值显式地进入了交变流场中本征应力和折射率张量的表达式,如果基于模型的内部粘度概念,则必须重新计算以前使用当时普遍接受的错误vp数据集获得的所有值。新的vp等于独立于p的单位,而旧的值对于小p大于1,对于大p小于1。因此,它们在前一个范围内的过大贡献部分地被它们在后一个区域的过小贡献所补偿。因此,在整个研究范围内,在3到300个链环之间,流变学和流变光学效应的差异相对较小,可达2倍,尽管在较高的链环数下,差异倾向于随着该数字的对数而增长。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Frequency Dependence of Intrinsic Stress and Birefringence Tensor of Bead/Spring Model of Polymer Solutions
The recently obtained complete solution of the simultaneous diagonalization of matrices H A and H in the hydrodynamic diffusion equation has basically changed the diagonal values vp of the symmetric matrix H of hydrodynamic interaction between all the beads of the elastic random coil model of the isolated macromolecule in solution. Since these values enter explicitly the expressions for the intrinsic stress and refractive index tensor in an alternating flow field if based on the concept of internal viscosity of the model one had to recalculate all values obtained formerly by using the then generally accepted erroneous set of vp data. The new vp equal unity independent of p while the old values were larger than 1 for small p and smaller for large p. Hence their too large contributions in the former range are partially compensated by their too small contributions in the latter region. As a consequence in the whole range investigated, between 3 and 300 chain links, the differences in rheological and rheooptical effects are relatively small, up to a factor of 2, although at higher link number the differences tend to grow with the logarithm of this number.
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