论文标题
随机聚合物网络的形状分析
Shape analysis of random polymer networks
论文作者
论文摘要
我们分析了在Erdös-Rényi随机图模型基础上形成的分支聚合物结构的构象性能。我们考虑具有$ n = 5 $顶点和可变参数$ c $的网络，该网络控制图形连接。通用旋转不变的大小和形状特性，例如平均的非球性$ \ langle a_3 \ rangle $和大小比$ g $的大小比$ g $是通过应用WEI的应用以及在连续链模型中进行分析的数值获得的。特别是，我们的结果定量地表明，当聚合物网络结构的不对称性增加时，其连接性$ c $降低。
We analyze conformational properties of branched polymer structures, formed on the base of Erdös-Rényi random graph model. We consider networks with $N=5$ vertices and variable parameter $c$, that controls graph connectedness. The universal rotationally invariant size and shape characteristics, such as averaged asphericity $\langle A_3 \rangle$ and size ratio $g$ of such structures are obtained both numerically by application of Wei's method and analytically within the continuous chain model. In particular, our results quantitatively indicate an increase of asymmetry of polymer network structure when its connectedness $c$ decreases.
