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Crossover time in relative fluctuations characterizes the longest relaxation time of entangled polymers

机译:相对波动中的交越时间表征了缠结聚合物的最长弛豫时间

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In entangled polymer systems, there are several characteristic time scales, such as the entanglement time and the disengagement time. In molecular simulations, the longest relaxation time (the disengagement time) can be determined by the mean square displacement (MSD) of a segment or by the shear relaxation modulus. Here, we propose the relative fluctuation analysis method, which is originally developed for characterizing large fluctuations, to determine the longest relaxation time from the center of mass trajectories of polymer chains (the time-averaged MSDs). Applying the method to simulation data of entangled polymers (by the slip-spring model and the simple reptation model), we provide a clear evidence that the longest relaxation time is estimated as the crossover time in the relative fluctuations.
机译:在纠缠的聚合物系统中,存在多个特征时间标度,例如纠缠时间和脱离时间。在分子模拟中,最长的弛豫时间(脱离时间)可以通过片段的均方位移(MSD)或剪切弛豫模量来确定。在这里,我们提出了一种相对波动分析方法,该方法最初是为表征大波动而开发的,用于从聚合物链的质心轨迹(时间平均MSD)的中心确定最长的松弛时间。将这种方法应用于缠结聚合物的模拟数据(通过滑移弹簧模型和简单重复模型),我们提供了明确的证据,即最长的松弛时间被估计为相对波动中的穿越时间。

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