标题： 拓扑力在一种绳索运动动力学模型系统中的作用 显示英文标题

标题： Topological Forces in a Model System for Reptation Dynamics

摘要： 我们构建了一个早期拓扑约束聚合物模型的微机械版本——一个在点状不可交叉障碍物之间的二维链——这使我们能够明确阐明拓扑力的作用，而不仅仅是将链限制在曲线管状路径中。 我们的模拟显示，轮廓长度\textit{沿着管道}的线性松弛因拓扑力的存在而减慢，这些拓扑力可以被视为静止状态下的额外有效拓扑“摩擦”。 然而，这种观点在预测非线性启动微流变学中阻碍链曲线运动的强阻力时失效。 这些熵力具有非局部性质，并源于取向动力学和纵向动力学之间的意外耦合。 显示英文摘要

摘要： We construct a micromechanical version of an early model for topologically constrained polymers -- a 2D chain amongst point-like uncrossable obstacles -- which allows us to explicitly elucidate the role of topological forces beyond confining the chain to a curvilinear tube-like path. Our simulations reveal that linear relaxation of the contour length \textit{along the tube} is slowed down by the presence of topological forces that can be considered as additional effective topological ``friction'' in quiescence. However, this perspective fails in predicting the strong forces that resist the imposed curvilinear motion of the chain during nonlinear startup microrheology. These entropic forces are nonlocal in nature and result from an unexpected coupling between orientational and longitudinal dynamics.