We have used Langevin dynamics to simulate the forced translocation of linked polymer rings through a narrow pore. For fixed size (i.e. fixed number of monomers) the translocation time depends on the link type and on whether the rings are knotted or unknotted. For links with two unknotted rings, the crossings between the rings can slow down the translocation and are responsible for a delay as the crossings pass through the pore. The results fall on a set of relatively smooth curves for different link families with the translocation time not always increasing with crossings number within the same family. When one ring is knotted the results depend on whether the link is prime or composite and, for the composite case, they depend on whether the knotted or unknotted ring enters the pore first. We find a similar situation for 3-component links where the results depend on whether the link is prime or composite. These results contribute to our understanding of how the entanglement complexity between filaments impacts their translocation dynamics and should be useful for extending nanopore-sensing techniques to probe the topological properties of these systems.

中文翻译：

---

通过孔的链接易位：链接复杂性和大小的影响

我们使用 Langevin 动力学来模拟连接的聚合物环通过狭窄孔的强制易位。对于固定大小（即固定数量的单体），易位时间取决于链接类型以及环是否打结或未打结。对于具有两个未打结环的链接，环之间的交叉会减慢易位，并在交叉通过孔时造成延迟。结果落在一组相对平滑的曲线上，对于不同的链接族，易位时间并不总是随着同一族内交叉数的增加而增加。当一个环打结时，结果取决于链接是主要的还是复合的，对于复合情况，它们取决于打结的还是未打结的环首先进入孔隙。我们发现 3 分量链接的类似情况，其中结果取决于链接是素数还是复合链接。这些结果有助于我们理解细丝之间的纠缠复杂性如何影响它们的易位动力学，并且应该有助于扩展纳米孔传感技术以探测这些系统的拓扑特性。