In this work we formulate a model to study the dynamical response of entangled polymers subjected to a constant drift. The drift may originate from an internal activity that acts along the primitive path of the tube. Here, we expand our previous work (A. R. Tejedor and J. Ramirez, Macromolecules, 2019, 52, 8788–8792) and solve analytically the most significant observables of the theory, providing explicit results to observables not considered previously, such as the tangent–tangent correlation function and the dynamic structure factor. These analytical results are compared and verified by means of Brownian dynamics simulations of the tube model. Interestingly, while the mean squared displacement of the chain segments is always subdiffusive, the center of mass shows a superdiffusive regime when the magnitude of the drift is significant. We provide scaling arguments to explain this phenomenon. We also consider the effect of contour-length fluctuations and describe two different approaches to introduce a drift using active particles.

中文翻译：

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缠结的聚合物的蠕变和漂移动力学

在这项工作中，我们制定了一个模型来研究缠结聚合物在恒定漂移下的动力响应。漂移可能源自内部活动，该活动沿管的原始路径起作用。在这里，我们扩展我们以前的工作（AR Tejedor和J.拉米雷斯，大分子，2019，52（8788–8792），并通过解析方法解决了该理论中最重要的可观测量，为先前未考虑的可观测量提供了明确的结果，例如正切-正切相关函数和动态结构因子。这些分析结果通过管模型的布朗动力学模拟进行比较和验证。有趣的是，尽管链段的均方位移始终是亚扩散的，但当漂移幅度很大时，质心显示出超扩散状态。我们提供了缩放比例的参数来解释这种现象。我们还考虑了轮廓长度波动的影响，并描述了两种使用活性粒子引入漂移的方法。