We investigate the translocation dynamics of a folded linear polymer which is pulled through a nanopore by an external force. To this end, we generalize the iso-flux tension propagation (IFTP) theory for end-pulled polymer translocation to include the case of two segments of the folded polymer traversing simultaneously trough the pore. Our theory is extensively benchmarked with corresponding Molecular Dynamics (MD) simulations. The translocation process for a folded polymer can be divided into two main stages. In the first stage, both branches are traversing the pore and their dynamics is coupled. If the branches are not of equal length, there is a second stage where translocation of the shorter branch has been completed. Using the assumption of equal monomer flux of both branches confirmed by MD simulations, we analytically derive the equations of motion for both branches and characterize the translocation dynamics in detail from the average waiting time and its scaling form.

中文翻译：

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将折叠的聚合物拉过纳米孔

我们研究了在外力作用下穿过纳米孔的折叠线性聚合物的易位动力学。为此，我们概括了末端拉动聚合物易位的等通量张力传播 (IFTP) 理论，以包括折叠聚合物的两个部分同时穿过孔的情况。我们的理论与相应的分子动力学 (MD) 模拟进行了广泛的基准测试。折叠聚合物的易位过程可分为两个主要阶段。在第一阶段，两个分支都穿过孔隙并且它们的动力学是耦合的。如果分支不等长，则在第二阶段完成较短分支的易位。使用由 MD 模拟证实的两个分支的单体通量相等的假设，