Hou Ji-Xuan
School of Physics, Southeast University, Nanjing 211189, China.
Polymers (Basel). 2019 Aug 27;11(9):1405. doi: 10.3390/polym11091405.
A dynamic method to determine the main parameter of the tube theory through monomer mean-square displacement is discussed in this paper. The tube step length can be measured from the intersection of the slope- 1 2 line and the slope- 1 4 line in log-log plot, and the tube diameter can be obtained by recording the time at which g 1 data start to leave the slope- 1 2 regime. According to recent simulation data, the ratio of the tube step length to the tube diameter was found to be about 2 for different entangled polymer systems. Since measuring the tube diameter does not require g 1 data to reach the slope- 1 4 regime, this could be the best way to find the entanglement length from microscopic consideration.
本文讨论了一种通过单体均方位移来确定管理论主要参数的动态方法。管步长可从双对数图中斜率为 -1/2 的线与斜率为 -1/4 的线的交点处测量得到，而管径可通过记录 g1 数据开始偏离斜率为 -1/2 区域的时间来获得。根据最近的模拟数据，发现对于不同的缠结聚合物体系，管步长与管径之比约为 2。由于测量管径不需要 g1 数据达到斜率为 -1/4 的区域，从微观角度考虑，这可能是确定缠结长度的最佳方法。
