Polydispersity Effects on Interpenetration in Compressed Brushes
Polydispersity Effects on Interpenetration in Compressed Brushes
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多分散性对压缩画笔互穿的影响
DOI：
10.1021/acs.macromol.8b02361
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发表时间：
2019-02-26
期刊：
影响因子：
5.5
通讯作者：
Schmid, Friederike
中科院分区：
文献类型：
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作者：
Klushin, Leonid I.;Skvortsov, Alexander M.;Schmid, Friederike
我们通过数值自洽场方法和分析理论研究了多分散性对两个相对聚合物刷的压缩和互穿性能的影响。多分散性由实验相关的Schulz-Zimm链长分布表示。我们专注于三种不同的多分散性，代表尖锐的，中等的，和极宽的链长分布，并推导出近似的解析表达式的压力分离曲线，ε（D）。我们研究了电刷的互穿，并将其量化为重叠积分，Γ，代表电刷间接触的数量，和互穿长度，δ。对于中等密度的情况下，状态方程是由第二维里项与系数的主导，我们证明了压力，重叠积分，和互穿长度的关系由一个简单的方程，<$/kBT =<$r/δ，其中kBT表示的热能。我们提出了一种δ（D）的标度形式，用于三个多边形…
We study the effect of polydispersity on the compression and interpenetration properties of two opposing polymer brushes by numerical self-consistent field approach and by analytical theory. Polydispersity is represented by an experimentally relevant Schulz–Zimm chain-length distribution. We focus on three different polydispersities representing sharp, moderate, and extremely wide chain length distributions and derive approximate analytical expressions for the pressure–separation curves, Π(D). We study the brush interpenetration and quantify it in terms of the overlap integral, Γ, representing the number of interbrush contacts, and interpenetration length, δ. For the case of moderate densities where the equation of state is dominated by the second virial term with coefficient υ, we demonstrate that the pressure, the overlap integral, and the interpenetration length are related by a simple equation, Π/kBT = υΓ/δ, where kBT represents the thermal energy. We propose a scaling form for δ(D) for the three poly...