Dinâmica de redes poliméricas semiflexivéis de tipo livre de escala

Abstract

Scale-free Networks (SFNs) are structures built with nodes that show a degree distribution that follow a power law for high functionalities. SFNs are used with great success in several real network. In this work, the networks are modeled from an algorithm which construct scale-free networks without loops, changing the minimum and the maximum allowed degrees. The dynamics of networks is studied by using the semiflexibility model, which fixes the angles between the springs between the nearest neighbors whose orientations between all other springs are assumed so that the rotation of the springs are "free". First, we study the statical properties of the built networks. Then, we will analyze the eigenvalue ($\lambda$) spectra of the Dynamical Matrix ($A^{STP}$) and the dynamical behavior of these networks, focusing on the Complex Dynamic Modulus, with its two parts: the Storage Modulus ($G'$) and the Loss Modulus ($G"$) and how the stiffness parameter $q$ influence the eigenvalues and the dynamics of chosen polymer networks. We noticed in the region of intermediate time or frequency domain a scaling behavior for some values of the considered parameters.