Preprint Article Version 1 This version is not peer-reviewed

Dynamics of Dual Scale-Free Polymer Networks

Version 1 : Received: 22 September 2017 / Approved: 22 September 2017 / Online: 22 September 2017 (16:21:16 CEST)

A peer-reviewed article of this Preprint also exists.

Galiceanu, M.; Tota de Carvalho, L.; Mülken, O.; Dolgushev, M. Dynamics of Dual Scale-Free Polymer Networks. Polymers 2017, 9, 577. Galiceanu, M.; Tota de Carvalho, L.; Mülken, O.; Dolgushev, M. Dynamics of Dual Scale-Free Polymer Networks. Polymers 2017, 9, 577.

Journal reference: Polymers 2017, 9, 577
DOI: 10.3390/polym9110577

Abstract

We focus on macromolecules which are modelled 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 p of adding link between non-neighbouring 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 parameter’s set (γ, p) we encounter for these dynamical properties regions of constant in-between slope.

Subject Areas

polymer networks; scale-free networks; mechanical relaxation; eigenvalue problem

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