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Polymer translocation through a nanopore under an applied external field

机译:在外加电场作用下聚合物通过纳米孔易位

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We investigate the dynamics of polymer translocation through a nanopore under an externally applied field using the two-dimensional fluctuating bond model with single-segment Monte Carlo moves. We concentrate on the influence of the field strength E, length of the chain N, and length of the pore L on forced translocation. As our main result, we find a crossover scaling for the translocation time tau with the chain length from tau similar to N-2 nu for relatively short polymers to tau similar to N1+nu for longer chains, where nu is the Flory exponent. We demonstrate that this crossover is due to the change in the dependence of the translocation velocity v on the chain length. For relatively short chains v similar to N-nu, which crosses over to v similar to N-1 for long polymers. The reason for this is that with increasing N there is a high density of segments near the exit of the pore, which slows down the translocation process due to slow relaxation of the chain. For the case of a long nanopore for which R-parallel to, the radius of gyration R-g along the pore, is smaller than the pore length, we find no clear scaling of the translocation time with the chain length. For large N, however, the asymptotic scaling tau similar to N1+nu is recovered. In this regime, tau is almost independent of L. We have previously found that for a polymer, which is initially placed in the middle of the pore, there is a minimum in the escape time for R-parallel to approximate to L. We show here that this minimum persists for weak fields E such that EL is less than some critical value, but vanishes for large values of EL. (c) 2006 American Institute of Physics.
机译:我们使用单段蒙特卡洛运动的二维波动键模型研究了在外部应用场下通过纳米孔的聚合物移位的动力学。我们集中研究场强E,链长N和孔L的长度对强制移位的影响。作为我们的主要结果,我们发现了移位时间tau的交换比例,链长从tau类似于N-2 nu(对于较短的聚合物)到tau类似于N1 + nu(对于较长的链),其中nu是Flory指数。我们证明了这种交叉是由于易位速度v对链长的依赖性变化所致。对于相对短的链,v类似于N-nu,对于长聚合物而言,其交叉到类似于N-1的v。其原因是,随着N的增加,孔出口附近的链段密度很高,由于链的缓慢弛豫而减慢了转运过程。对于长纳米孔,其中R平行于沿着孔的回转半径R-g小于孔的长度,我们发现转运时间与链长之间没有明确的比例关系。但是,对于较大的N,将恢复类似于N1 + nu的渐近缩放tau。在这种情况下,tau几乎与L无关。我们以前发现,对于最初放置在孔中间的聚合物,R-平行度的逸出时间最小,近似于L。我们证明了这里,该最小值对于弱电场E仍然存在,使得EL小于某个临界值,但对于较大的EL消失。 (c)2006年美国物理研究所。

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