Dinâmica de Redes Poliméricas Livres de Escala

Abstract

This work focuses on treelike generalized scale-free polymer network, which depend on a parameter that controlls the connectivity of the nodes, , and two modularity parameters: the minimum allowed degree, Kc, and the maximum allowed degree, Nc. It was monitored the influence of these parameters on the statical properties of the networks and on the polymer relaxation dynamics. The latter was solved in the framework of generalized Gaussian structures by computing the eigenvalue spectrum of the connectivity (or Laplacian) matrix. It focus on physical quantities such as average monomer displacement under external forces, radius of gyration and the mechacical relaxation moduli (storage and loss mudulus). Depending on the values of network’s parameters we were able to switch between distinct hyperbranched structures: networks with more linearlike segments or with a predominant star or dendrimerlike topology. We observe a stronger influence on Kc than on Nc. In the intermediate time (frequency) domain, all physical quantities show scaling for polymer networks with = 2.5 and we prove additionally that for networks with 2.5 new regions with constant slopes emerge by a proper choice of Kc.