Relaxation dynamics of small-world degree-distributed treelike polymer networks

Mircea Galiceanu, Edieliton S. Oliveira and Maxim Dolgushev

Physica A: Statistical Mechanics and its Applications, 2016, vol. 462, issue C, 376-385

Abstract: Hyperbranched polymers are typically treelike macromolecules with a very disordered structure. Here we construct hyperbranched polymers based on the degree distribution of the small-world networks. This algorithm allows us to study a transition from monodisperse linear chains to structurally-disordered dendritic polymers by varying the parameter p (0≤p≤1), which measures the randomness and the degree of branching of the network. Employing the framework of generalized Gaussian structures, we determine for the obtained structures the relaxation spectra, which are exemplified on the mechanical relaxation moduli (storage and loss moduli). We monitor these physical quantities for networks of different sizes and for various values of the parameter p. In the intermediate frequency domain, we encounter macroscopically distinguishable behaviours.

Keywords: Complex networks; Polymers; Relaxation dynamics (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:462:y:2016:i:c:p:376-385

DOI: 10.1016/j.physa.2016.06.098

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