Philipps Christian A, Gompper Gerhard, Winkler Roland G
Theoretical Physics of Living Matter, Institute of Biological Information Processing and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany.
Department of Physics, RWTH Aachen University, 52056 Aachen, Germany.
Phys Rev E. 2022 Jun;105(6):L062501. doi: 10.1103/PhysRevE.105.L062501.
The conformational and dynamical properties of isolated semiflexible active polar ring polymers are investigated analytically. A ring is modeled as a continuous Gaussian polymer exposed to tangential active forces. The analytical solution of the linear non-Hermitian equation of motion in terms of an eigenfunction expansion shows that ring conformations are independent of activity. In contrast, activity strongly affects the internal ring dynamics and yields characteristic time regimes, which are absent in passive rings. On intermediate timescales, flexible rings show an activity-enhanced diffusive regime, while semiflexible rings exhibit ballistic motion. Moreover, a second active time regime emerges on longer timescales, where rings display a snake-like motion, which is reminiscent to a tank-treading rotational dynamics in shear flow, dominated by the mode with the longest relaxation time.
对孤立的半柔性活性极性环状聚合物的构象和动力学性质进行了分析研究。环被建模为暴露于切向活性力的连续高斯聚合物。根据本征函数展开得到的线性非厄米运动方程的解析解表明，环的构象与活性无关。相比之下，活性强烈影响环的内部动力学并产生特征时间尺度，而在被动环中不存在这些特征时间尺度。在中间时间尺度上，柔性环表现出活性增强的扩散状态，而半柔性环表现出弹道运动。此外，在更长的时间尺度上出现了第二个活性时间尺度，环在这个时间尺度上呈现出蛇形运动，这让人联想到剪切流中的履带式旋转动力学，由具有最长弛豫时间的模式主导。
