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Theory of relaxation properties of two-dimensional polymer networks, 1 - Normal modes and relaxation times

机译:二维聚合物网络的弛豫特性理论,1-正常模和弛豫时间

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The local relaxation properties of polymer networks with a two-dimensional connectivity are considered. We use the mesh-like network model in which the average positions of junctions form the regular spatial structure consisting of square repeating units (network cells). The two-dimensional polymer network consisting of "head and spring" Rouse chains and the simplified coarse-grained network model describing only the large-scale collective relaxation of a network are studied. For both dynamic network models the set of relaxation times and the transformation from Cartesian coordinates of network elements to normal modes are obtained. Using the normal mode transformation obtained, in Part 2 of this series the exact analytical expressions for various local dynamic characteristics of the polymer network having a two-dimensional connectivity will be calculated. [References: 12]
机译:考虑具有二维连通性的聚合物网络的局部弛豫特性。我们使用网状网络模型,其中结点的平均位置形成由正方形重复单元(网络单元)组成的规则空间结构。研究了由“头和弹簧” Rouse链组成的二维聚合物网络以及仅描述网络大规模集体松弛的简化粗粒度网络模型。对于两个动态网络模型,都获得了松弛时间集以及从网络元素的笛卡尔坐标到正常模式的转换。使用获得的正常模式变换,在本系列的第2部分中,将计算出具有二维连通性的聚合物网络的各种局部动态特性的精确解析表达式。 [参考:12]

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