标题： 绳结拓扑对活性聚合物坍缩的影响 显示英文标题

标题： The effects of knot topology on the collapse of active polymers

摘要： 我们使用数值模拟来研究具有不同纽结拓扑结构的切向活跃柔性环状聚合物。 简单的、未打结的活性环在增加聚合度时表现出坍缩转变。 我们发现拓扑结构对坍缩发生的聚合物尺寸有显著影响，其中扭结比环面纽结更早坍缩。 进一步增加纽结复杂性会加剧这种差异，因为环面纽结的坍缩点线性增长，而扭结的坍缩点缩小，最终完全取消了主动拉伸区域。 这种行为是由于环面纽结在其拉伸主动状态下具有有序构型，具有非相邻键的有效对齐，这种对齐随着最小交叉数的增加而增强。 扭结不具有有序构型或键对齐，增加了碰撞的可能性，导致坍缩。 这些结果为控制活性环状聚合物的坍缩点提供了一定程度的控制，因为可以通过改变拓扑结构来调节。 显示英文摘要

摘要： We use numerical simulations to study tangentially active flexible ring polymers with different knot topologies. Simple, unknotted active rings display a collapse transition upon increasing the degree of polymerization. We find that topology has a significant effect on the polymer size at which the collapse takes place, with twist knots collapsing earlier than torus knots. Increasing knot complexity further accentuates this difference, as the collapse point of torus knots grows linearly and that of twist knots shrinks, eventually canceling the actively stretched regime altogether. This behavior is a consequence of the ordered configuration of torus knots in their stretched active state, featuring an effective alignment for non-neighboring bonds which increases with the minimal crossing number. Twist knots do not feature ordered configurations or bond alignment, increasing the likelihood of collisions, leading to collapse. These results yield a degree of control on the collapse point of active ring polymers, as it can be tuned by changing the topology.