Dynamics of semiflexible treelike polymeric networks
Dynamics of semiflexible treelike polymeric networks
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DOI：
10.1063/1.3184797
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发表时间：
2009-07-28
影响因子：
4.4
通讯作者：
Blumen, Alexander
中科院分区：
文献类型：
--
作者：
Dolgushev, Maxim;Blumen, Alexander
我们研究了一般树状网络的动力学，由于它们的键的取向的限制，这些网络是半柔性的。为此，我们推广了广义高斯结构模型，其中动力学服从通过动力学矩阵耦合的朗之万方程。我们成功地建立了任意树状网络和刚度系数的这个矩阵的解析形式。这使得可以直接确定与机械和介电松弛相关的动态特性。我们表明，我们的方法也遵循最大熵原理；这一原理以前是针对线性聚合物实现的，现在我们将其扩展到任意的树状结构。
We study the dynamics of general treelike networks, which are semiflexible due to restrictions on the orientations of their bonds. For this we extend the generalized Gaussian structure model, in which the dynamics obeys Langevin equations coupled through a dynamical matrix. We succeed in formulating analytically this matrix for arbitrary treelike networks and stiffness coefficients. This allows the straightforward determination of dynamical characteristics relevant to mechanical and dielectric relaxation. We show that our approach also follows from the maximum entropy principle; this principle was previously implemented for linear polymers and we extend it here to arbitrary treelike architectures.