Predicting the Tube Diameter in Melts and Solutions
Predicting the Tube Diameter in Melts and Solutions
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DOI：
10.1021/ma0355507
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发表时间：
2005-04
期刊：
影响因子：
5.5
通讯作者：
S. Milner
中科院分区：
文献类型：
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作者：
S. Milner
链的尺寸与“管径”有关的一个简单猜想，表示链上缠结的拓扑限制效应，适用于所有柔性缠结聚合物熔体。我把这个猜想推广到半稀溶液中：首先是对半稀溶剂，它被证明是等价于科尔比-鲁宾斯坦标度图的，然后是对好溶剂。在后一种情况下，事实证明，每个缠结链B的“blobs”数量并不像之前假设的那样是恒定的，而是取决于包装长度与膨胀长度的比例。这一统一的图景与半稀溶液的现有数据是一致的。
A simple conjecture relating chain dimensions to the “tube diameter”, which represents the topological confining effect of entanglements on a chain, works well for all flexible entangled polymer melts. I extend this conjecture to semidilute solutions: first for ϑ solvents, where it is shown to be equivalent to the Colby−Rubinstein scaling picture, and then for good solvents. In the latter case, it turns out that the number of “blobs” per entanglement strand B is not a constant as had been previously assumed, but depends on the ratio of the packing length to the swelling length. This unified picture is consistent with existing data on semidilute solutions.