论文标题
通过滑动链接的熵竞争简化拓扑纠缠
Simplifying Topological Entanglements by Entropic Competition of Slip-Links
论文作者
论文摘要
在生物学和材料科学中的聚合系统中，拓扑纠缠是丰富的，通常是有害的。在这里，我们从理论上通过扩散的滑移链链接（SLS）来研究结的拓扑简化，这可能代表生物学或合成分子，例如基因组上的蛋白质或滑环凝胶中的环糊精。我们发现，SLS偏向于结并可以将其定位，从而极大地促进了它们的下游简化，并通过短暂的链条交叉来简化。我们进一步表明，结定位的效率在很大程度上取决于SL网络的拓扑结构，并在我们的发现中得知，讨论了控制生物学和合成材料拓扑的潜在策略。
Topological entanglements are abundant, and often detrimental, in polymeric systems in biology and materials science. Here we theoretically investigate the topological simplification of knots by diffusing slip-links (SLs), which may represent biological or synthetic molecules, such as proteins on the genome or cyclodextrines in slide-ring gels. We find that SLs entropically compete with knots and can localise them, greatly facilitating their downstream simplification by transient strand-crossing. We further show that the efficiency of knot localisation strongly depends on the topology of the SL network and, informed by our findings, discuss potential strategies to control the topology of biological and synthetic materials.
