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arXiv 0912.4779cond-mat.softcond-mat.mes-hall
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半柔性polymer中回路形成的动力学

The dynamics of loop formation in a semiflexible polymer

K. P. Santo, K. L. Sebastian

摘要:

线性聚合物链形成环的动力学一直是几个理论/实验研究的主题。环的形成及其打开是许多重要生物过程中的关键过程。柔性链中的环形成已经被许多小组广泛研究。然而,在半柔性聚合物的更现实的情况下,没有太多的结果。在最近的一项研究中(K。P. Santo和K. L. Sebastian,Phys. Rev. E,\textbf{73},031293(2006)),我们研究了短链极限中半柔性环的打开动力学,并给出了打开速率作为链长度的函数的结果。基于链的弯曲能的半经典展开,提出了一个半柔性聚合物在杆极限下的近似模型。该模型提供了一种简单的方法来描述动态。在本文中,使用该模型,我们研究的逆过程,即,半柔性聚合物链的环形成动力学,将该过程描述为扩散控制反应。我们进行了详细的多维分析的问题,并计算关闭时间的半柔性链,导致物理预期的结果。这样一个多层面的分析,导致这些结果似乎并不存在于文献中。

英文摘要:

The dynamics of loop formation by linear polymer chains has been a topic of several theoretical/experimental studies. Formation of loops and their opening are key processes in many important biological processes. Loop formation in flexible chains has been extensively studied by many groups. However, in the more realistic case of semiflexible polymers, not much results are available. In a recent study (K. P. Santo and K. L. Sebastian, Phys. Rev. E, \textbf{73}, 031293 (2006)), we investigated opening dynamics of semiflexible loops in the short chain limit and presented results for opening rates as a function of the length of the chain. We presented an approximate model for a semiflexible polymer in the rod limit, based on a semiclassical expansion of the bending energy of the chain. The model provided an easy way to describe the dynamics. In this paper, using this model, we investigate the reverse process, i.e., the loop formation dynamics of a semiflexible polymer chain by describing the process as a diffusion-controlled reaction. We perform a detailed multidimensional analysis of the problem and calculate closing times for a semiflexible chain which leads to results that are physically expected. Such a multidimensional analysis leading to these results does not seem to exist in the literature so far.

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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