Effects of internal friction on contact formation dynamics of polymer chain
Effects of internal friction on contact formation dynamics of polymer chain
复制标题
内摩擦对聚合物链接触形成动力学的影响
DOI：
10.1080/00268976.2017.1416198
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发表时间：
2018-01-01
影响因子：
1.7
通讯作者：
Zhao，Nanrong
中科院分区：
文献类型：
--
作者：
Bian，Yukun;Li，Peng;Zhao，Nanrong
摘要本文提出了一个研究高分子链接触形成动力学的理论框架。基于一个非马尔可夫的Smoluchowski方程，在Wilemski-Fixman近似下，推导了一个指数汇项，并给出了接触形成的平均时间.我们特别注意内摩擦的影响。我们发现，内摩擦诱导一个新的分数粘度依赖性，这将成为更加显着的内摩擦增加。此外，我们澄清，内摩擦不可避免地促进扩散控制的机制，通过减缓链松弛。最后，我们应用我们的理论合理化的实验研究接触形成的单链DNA。理论计算结果与实验数据吻合较好，对内禀参数的估计也较为合理。这种良好的协议清楚地证明了我们的理论的有效性，它适当地解决了内部摩擦的相关动态的作用。
ABSTRACT A theoretical framework is presented to study the contact formation dynamics of polymer chains, in accompany with an electron-transfer quenching. Based on a non-Markovian Smoluchowski equation supplemented with an exponential sink term, we derive the mean time of contact formation under Wilemski–Fixman approximation. Our particular attentions are paid to the effect of internal friction. We find out that internal friction induces a novel fractional viscosity dependence, which will become more remarkable as internal friction increases. Furthermore, we clarify that internal friction inevitably promotes a diffusion-controlled mechanism by slowing the chain relaxation. Finally, we apply our theory to rationalise the experimental investigation for contact formation of a single-stranded DNA. The theoretical results can reproduce the experimental data very well with quite reasonable estimation for the intrinsic parameters. Such good agreements clearly demonstrate the validity of our theory which has appropriately addressed the very role of internal friction to the relevant dynamics.