Scattering functions of knotted ring polymers
Scattering functions of knotted ring polymers
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DOI：
10.1103/physreve.72.041804
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发表时间：
2005-10-01
影响因子：
2.4
通讯作者：
Deguchi, T
中科院分区：
文献类型：
--
作者：
Shimamura, MK;Kamata, K;Deguchi, T
通过仿真计算，讨论了在给定拓扑约束下，N个结点的高斯随机多边形的散射函数。我们评估了N=200的高斯多边形的形状因子P-K（q），该多边形具有固定的结K，对于一些不同的结，例如平凡结、三叶结和8字形结。这里，具有不同节点K的高斯多边形具有不同的均方回转半径R-G，K（2）。我们获得了形状因子的Kratky图，即，在不同的拓扑约束条件下，给出了（qR（G，K））P-2（K）（q）与qR（G，K）-的关系曲线，并讨论了散射函数的非平凡大q行为和小q行为.我们还发现R-G，K（2）的不同取值对Kratky图的大q和小q性质起着重要作用。
We discuss the scattering function of a Gaussian random polygon with N nodes under a given topological constraint through simulation. We evaluate the form factor P-K(q) of a Gaussian polygon of N=200 having a fixed knot K for some different knots such as the trivial, trefoil, and figure-eight knots. Here the Gaussian polygons with different knots K have distinct values of the mean-square radius of gyration, R-G,K(2). We obtain the Kratky plots of the form factors-i.e., the plots of (qR(G,K))P-2(K)(q) versus qR(G,K)-for the different topological constraints and discuss nontrivial large-q behavior as well as small-q behavior for the scattering functions. We also find that the distinct values of R-G,K(2) play an important role in the large-q and small-q properties of the Kratky plots.