Wormlike chain statistics with twist and fixed ends
Wormlike chain statistics with twist and fixed ends
复制标题
具有扭曲和固定端的蠕虫链统计
DOI：
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
A. Spakowitz
中科院分区：
文献类型：
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作者：
A. Spakowitz
我们给出了包括扭转刚度和固定末端取向的蠕虫链的端到端统计量的精确解。我们的结果在傅里叶-拉普拉斯空间中被表示为无限连分式，它简明扼要地被用于涉及反扭曲变形的半柔性聚合物的广泛问题中。然后，我们将我们的结果应用于DNA的J因子或环闭合概率。由于我们的结果是精确的(即非微扰的)，我们发现由我们的结果计算的J因子与近似微扰理论之间存在可测量的差异；近似理论中的误差部分源于我们的精确处理中没有考虑非平凡的拓扑异构体。
We present the exact solution for the end-to-end statistics of a wormlike chain including twist stiffness and fixed-end orientations. Our results are expressed in Fourier-Laplace space as infinite continued fractions, which are concisely stated and easily employed in a wide range of problems involving semiflexible polymers that oppose twist deformation. We then apply our results to the J-factor or ring-closure probability of DNA. As our results are exact (i.e. non-perturbative), we find a measurable difference between the J-factor calculated from our results and approximate, perturbative theory; the error in the approximate theory stems in part from the absence of non-trivial topoisomers that are accounted for in our exact treatment.
DOI：
10.1073/pnas.0500983102
发表时间：
2005-04-12
影响因子：
11.1
作者：
Du, Q;Smith, C;Vologodskii, A
通讯作者：
Vologodskii, A
DOI：
10.1073/pnas.78.8.4833
发表时间：
1981-01-01
期刊：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES
影响因子：
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作者：
SHORE, D;LANGOWSKI, J;BALDWIN, RL
通讯作者：
BALDWIN, RL