Galiceanu Mircea, Tota de Carvalho Luan, Mülken Oliver, Dolgushev Maxim
Departamento de Fisica, Universidade Federal do Amazonas, Manaus 69077-000, Brazil.
Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany.
Polymers (Basel). 2017 Nov 4;9(11):577. doi: 10.3390/polym9110577.
We focus on macromolecules which are modeled as sequentially growing dual scale-free networks. The dual networks are built by replacing star-like units of the primal treelike scale-free networks through rings, which are then transformed in a small-world manner up to the complete graphs. In this respect, the parameter γ describing the degree distribution in the primal treelike scale-free networks regulates the size of the dual units. The transition towards the networks of complete graphs is controlled by the probability of adding a link between non-neighboring nodes of the same initial ring. The relaxation dynamics of the polymer networks is studied in the framework of generalized Gaussian structures by using the full eigenvalue spectrum of the Laplacian matrix. The dynamical quantities on which we focus here are the averaged monomer displacement and the mechanical relaxation moduli. For several intermediate values of the parameters' set ( γ , p ) , we encounter for these dynamical properties regions of constant in-between slope.
我们关注的大分子被建模为顺序增长的双无标度网络。通过用环替换原始树状无标度网络的星状单元来构建双网络，然后以小世界方式将其转变为完全图。在这方面，描述原始树状无标度网络中度数分布的参数γ调节双单元的大小。向完全图网络的转变由在同一初始环的非相邻节点之间添加链接的概率控制。通过使用拉普拉斯矩阵的全特征值谱，在广义高斯结构的框架内研究聚合物网络的弛豫动力学。我们在此关注的动力学量是平均单体位移和力学弛豫模量。对于参数集(γ, p)的几个中间值，我们在这些动力学性质中遇到了斜率恒定的中间区域。
