Tightness of random knotting

Tightness of random knotting
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DOI:
10.1103/physreve.61.5545
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发表时间:
2000-05-01
期刊:
影响因子:
2.4
通讯作者:
Stasiak, A
Stasiak, A
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Katritch, V;Olson, WK;Stasiak, A

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长链聚合物在溶液中经常采用打结构型。为了理解打结聚合物的物理性质,重要的是要找出在热力学平衡时形成的结是否遍布整个聚合物链,或者更确切地说是局部化为紧密的结。本文提出了一种分析模拟随机链短线性部分打结性的方法。使用这种方法,我们观察到,结决定域通常是非常紧密的,因此,例如,优选的尺寸的三叶决定部分的打结聚合物链对应于七个自由连接的片段。
Long polymers in solution frequently adopt knotted configurations. To understand the physical properties of knotted polymers, it is important to find out whether the knots formed at thermodynamic equilibrium are spread over the whole polymer chain or rather are localized as tight knots. We present here a method to analyze the knottedness of short linear portions of simulated random chains. Using this method, we observe that knot-determining domains are usually very tight, so that, for example, the preferred size of the trefoil-determining portions of knotted polymer chains corresponds to just seven freely jointed segments.