Reptation and contour-length fluctuations in melts of linear polymers
Reptation and contour-length fluctuations in melts of linear polymers
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DOI：
10.1103/physrevlett.81.725
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发表时间：
1998-07-20
影响因子：
8.6
通讯作者：
McLeish, TCB
中科院分区：
文献类型：
--
作者：
Milner, ST;McLeish, TCB
我们提出了一种单分散线性聚合物熔体应力松弛的分析理论，该理论包含了重复和轮廓长度波动的贡献，模拟了我们之前在星形聚合物中手臂收缩的工作。我们的方法解决了重复理论中两个长期存在的问题：它预测零剪切粘度eta标度为类似于N-3.4的eta，在链长N的宽范围内达到渐近的N3依赖，以及动态损失模量G“（omega）中的幂律omega(-alpha)，根据链长0 < alpha < 1/4，与实验一致。
We present an analytical theory of stress relaxation in monodisperse linear polymer melts that contains contributions from both reptation and contour-length fluctuations, modeled as in our previous work on arm retraction in star polymers. Our approach resolves two long-standing problems with reptation theory: it predicts a zero-shear viscosity eta scaling as eta similar to N-3.4 over a broad range in chain length N before reaching an asymptotic N3 dependence, and a power law omega(-alpha) in the dynamic loss modulus G "(omega) with 0 < alpha < 1/4 depending on chain length, in agreement with experiment.