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arXiv 1010.0639cond-mat.soft
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Polymer链刚度与排除体积的关系:向蠕虫状链模型过渡的Monte Carlo研究

Polymer chain stiffness versus excluded volume: A Monte Carlo study of the crossover towards the wormlike chain model

Hsiao-Ping Hsu, Wolfgang Paul, Kurt Binder

摘要:

当聚合物链的局部固有刚度在很宽的范围内变化时,可以观察到从刚性棒状行为到(几乎)高斯无规线圈的交叉,以及在良好溶剂中朝向自避免行走的进一步交叉。利用剪枝-富集Rosenbluth方法(PERM)研究了自回避行走的最大步数为$N_b=50000$且柔性可变的情况,检验了Kratky-Porod模型的适用性.非指数衰减的键取向相关性$<\cos θ(s) >$为大的距离$s$沿链轮廓的证据,不考虑链刚度。对于瓶刷聚合物的另一方面,实验刚度是通过侧链的长度变化,它表明,这些圆柱形刷(具有灵活的骨干)不描述的Kratky-Porod蠕虫状链模型,因为它们的持久性长度(大致)成比例的横截面半径,对于所有的条件下的实际利益。

英文摘要:

When the local intrinsic stiffness of a polymer chain varies over a wide range, one can observe both a crossover from rigid-rod-like behavior to (almost) Gaussian random coils and a further crossover towards self-avoiding walks in good solvents. Using the pruned-enriched Rosenbluth method (PERM) to study self-avoiding walks of up to $N_b=50000$ steps and variable flexibility, the applicability of the Kratky-Porod model is tested. Evidence for non-exponential decay of the bond-orientational correlations $<\cos θ(s) >$ for large distances $s$ along the chain contour is presented, irrespective of chain stiffness. For bottle-brush polymers on the other hand, where experimentally stiffness is varied via the length of side-chains, it is shown that these cylindrical brushes (with flexible backbones) are not described by the Kratky-Porod wormlike chain model, since their persistence length is (roughly) proportional to their cross-sectional radius, for all conditions of practical interest.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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