Universal bond correlation function for two-dimensional polymer rings
Universal bond correlation function for two-dimensional polymer rings
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DOI：
10.1209/0295-5075/91/68002
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发表时间：
2010-09
期刊：
影响因子：
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通讯作者：
Takahiro Sakaue;Guillaume Witz;G. Dietler;Hirofumi Wada
中科院分区：
文献类型：
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作者：
Takahiro Sakaue;Guillaume Witz;G. Dietler;Hirofumi Wada
从理论上研究了平面半柔性环状聚合物的键取向关联函数。对于刚性链，我们用微扰计算给出了BCF的精确解析形式。对于足够长于其持续长度的链，传统的指数衰减消失，并且出现沿链轮廓的长程有序。我们证明了键取向关联满足标度性质，并构造了包含短距离和大距离行为的普适曲线的插值式。我们的分析结果得到了广泛的朗之万动力学模拟的证实，并与最近在没有任何拟合参数的情况下通过原子力显微镜成像的DNA分子的实验数据非常一致。
The bond orientational correlation function (BCF) of a semiflexible ring polymer on a flat surface is studied theoretically. For a stiff chain, we give an exact analytic form of BCF with perturbation calculations. For a chain sufficiently longer than its persistence length, the conventional exponential decay vanishes and a long-range order along the chain contour appears. We demonstrate that the bond orientational correlation satisfies the scaling properties, and construct an interpolating formula for its universal curve that encompasses the short- and large-distance behaviors. Our analytical findings are confirmed by extensive Langevin dynamics simulations, and are in excellent agreement with recent experimental data obtained from DNA molecules imaged by atomic force microscopy without any fitting parameters.