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The origin of chain entanglement: Correlations between entanglement and chain structure
Author(s) -
Wu Souheng
Publication year - 1993
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760330508
Subject(s) - quantum entanglement , reptation , chain (unit) , statistical physics , multipartite entanglement , function (biology) , physics , theoretical physics , squashed entanglement , quantum mechanics , polymer , quantum , evolutionary biology , biology , nuclear magnetic resonance
A pseudotopological theory of chain entanglement has recently been developed, which shows that the entanglement junction is a binary hooking contact between two chains, and explicitly relates the entanglement behavior to chain structure. On the other hand, many empirical correlations between entanglement and chain structure have also been proposed to date, including those of Fox and Allen, Porter and Johnson, Privalko and Lipatov, Boyer and Miller, Graessley and Edwards, Aharoni, Lin, and Zang and Carreau. In this work, we show that the various empirical equations cited are variations of the same function, and can be derived as special cases from the theoretical pseudotopological equation. The various forms of the function nevertheless reveal different essential aspects of the chain entanglement behavior, and show that the traditional hooking view of chain entanglement is correct, and also provides a basis for the recent reptation‐tube model.