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Theory of relaxation properties of two-dimensional polymer networks, 2 - Local dynamic characteristics

机译：二维聚合物网络的弛豫特性理论，2-局部动态特性

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Using normal mode transformation obtained in Part 1 of this series(1)), the exact analytical expressions for the mean-square displacements of junctions and nonjunction beads, the autocorrelation functions of the end-to-end chain vectors between neighboring junctions, and those of subchain vectors of a two-dimensional regular network consisting of "bead and spring" Rouse chains are obtained . Contributions of intra- and interchain relaxation processes to the local dynamic characteristics considered of compared. The time behavior of dynamic quantities obtained is estimated for different scales of motions. The possibility of describing long-time relaxation of a two- dimensional network by a simplified coarse-grained network model is demonstrated. It is shown that the focal relaxation properties of a two-dimensional polymer network (as well as a three-dimensional network) on scales, smaller than the average distance between cross-links are very close to those of a single Rouse chain. The large-scale collective relaxation of the polymer networks having a two-dimensional connectivity differs considerably from that of the three-dimensional networks. [References: 16]
机译：使用从该系列的第1部分中获得的正态变换（1）），可以精确地分析结点和非结点珠的均方位移，相邻结点之间的端到端链向量的自相关函数以及那些获得由“珠和弹簧” Rouse链组成的二维规则网络的子链向量。链内和链间松弛过程对所考虑的局部动力学特征的贡献。对于不同比例的运动，估计获得的动态量的时间行为。证明了通过简化的粗粒度网络模型描述二维网络的长时间松弛的可能性。结果表明，二维聚合物网络（以及三维网络）的尺度弛豫特性（小于交联之间的平均距离）在尺度上非常接近单个Rouse链。具有二维连接性的聚合物网络的大规模集体弛豫与三维网络的显着不同。 [参考：16]

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