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arXiv 0912.0897cond-mat.soft
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纳米孔中受迫移位链的失平衡特性

Out of Equilibrium Characteristics of a Forced Translocating Chain through a Nanopore

Aniket Bhattacharya, Kurt Binder

摘要:

采用粗粒珠-弹簧模型和Langevin动力学模拟研究了聚合物在薄膜中纳米孔中的移位,重点探讨了移位链的非平衡特性.我们分析了在$cis$和$trans$侧的平衡链构象,分别作为移位过程中的时间的函数或作为孔内单体指数$m$的函数。通过监测易位链的质心、回转半径的纵向和横向分量以及端到端矢量,可以详细地了解易位。我们观察到,在$cis$侧的聚合物构型与在$trans$侧的聚合物构型明显不同。在易位期间,以及紧接其后,链明显地脱离平衡,因为链的不同部分由一系列有效Flory指数表征。我们进一步注意到,紧接在易位之后,刚刚易位的最后一组珠粒与先前易位的第一组珠粒相比具有相对紧凑的结构,并且紧接在易位之后的链由有效Flory指数$0.45 \pm 0.01$描述。通过观察等长链段从$cis$侧向$trans$侧交叉时的构象,进一步加强了对这些结果的分析,我们讨论了这些结果对理论估计和数值模拟研究的影响。不同小组报告的移位指数。

英文摘要:

Polymer translocation through a nano-pore in a thin membrane is studied using a coarse-grained bead-spring model and Langevin dynamics simulation with a particular emphasis to explore out of equilibrium characteristics of the translocating chain. We analyze the out of equilibrium chain conformations both at the $cis$ and the $trans$ side separately either as a function of the time during the translocation process or as as function of the monomer index $m$ inside the pore. A detailed picture of translocation emerges by monitoring the center of mass of the translocating chain, longitudinal and transverse components of the gyration radii and the end to end vector. We observe that polymer configurations at the $cis$ side are distinctly different from those at the $trans$ side. During the translocation, and immediately afterwards, the chain is clearly out of equilibrium, as different parts of the chain are characterized by a series of effective Flory exponents. We further notice that immediately after the translocation the last set of beads that have just translocated take a relatively compact structure compared to the first set of beads that translocated earlier, and the chain immediately after translocation is described by an effective Flory exponent $0.45 \pm 0.01$. The analysis of these results is further strengthened by looking at the conformations of chain segments of equal length as they cross from the $cis$ to the $trans$ side, We discuss implications of these results to the theoretical estimates and numerical simulation studies of the translocation exponent reported by various groups.

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