Relaxation dynamics of generalized scale-free polymer networks

Abstract We focus on treelike generalized scale-free polymer networks, whose geometries depend on a parameter, γ, that controls their connectivity and on two modularity parameters: the minimum allowed degree, K min , and the maximum allowed degree, K max . We monitor the influence of these parameter...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Aurel Jurjiu, Deuticilam Gomes Maia Júnior, Mircea Galiceanu
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/78931083e5e14cc885ad61eb1a0e1e4e
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:78931083e5e14cc885ad61eb1a0e1e4e
record_format	dspace
spelling	oai:doaj.org-article:78931083e5e14cc885ad61eb1a0e1e4e2021-12-02T15:08:25ZRelaxation dynamics of generalized scale-free polymer networks10.1038/s41598-018-21968-92045-2322https://doaj.org/article/78931083e5e14cc885ad61eb1a0e1e4e2018-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-21968-9https://doaj.org/toc/2045-2322Abstract We focus on treelike generalized scale-free polymer networks, whose geometries depend on a parameter, γ, that controls their connectivity and on two modularity parameters: the minimum allowed degree, K min , and the maximum allowed degree, K max . We monitor the influence of these parameters on the static and dynamic properties of the achieved generalized scale-free polymer networks. The relaxation dynamics is studied in the framework of generalized Gaussian structures model by employing the Rouse-type approach. The dynamical quantities on which we focus are the average monomer displacement under external forces and the mechanical relaxation moduli (storage and loss modulus), while for the static and structure properties of these networks we concentrate on the eigenvalue spectrum, diameter, and degree correlations. 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 have observed a stronger influence on K min than on K max . In the intermediate time (frequency) domain, all physical quantities obey power-laws for polymer networks with γ = 2.5 and K min = 2 and we prove additionally that for networks with γ ≥ 2.5 new regions with constant slope emerge by a proper choice of K min . Remarkably, we show that for certain values of the parameter set one may obtain self-similar networks.Aurel JurjiuDeuticilam Gomes Maia JúniorMircea GaliceanuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-15 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Aurel Jurjiu Deuticilam Gomes Maia Júnior Mircea Galiceanu Relaxation dynamics of generalized scale-free polymer networks
description	Abstract We focus on treelike generalized scale-free polymer networks, whose geometries depend on a parameter, γ, that controls their connectivity and on two modularity parameters: the minimum allowed degree, K min , and the maximum allowed degree, K max . We monitor the influence of these parameters on the static and dynamic properties of the achieved generalized scale-free polymer networks. The relaxation dynamics is studied in the framework of generalized Gaussian structures model by employing the Rouse-type approach. The dynamical quantities on which we focus are the average monomer displacement under external forces and the mechanical relaxation moduli (storage and loss modulus), while for the static and structure properties of these networks we concentrate on the eigenvalue spectrum, diameter, and degree correlations. 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 have observed a stronger influence on K min than on K max . In the intermediate time (frequency) domain, all physical quantities obey power-laws for polymer networks with γ = 2.5 and K min = 2 and we prove additionally that for networks with γ ≥ 2.5 new regions with constant slope emerge by a proper choice of K min . Remarkably, we show that for certain values of the parameter set one may obtain self-similar networks.
format	article
author	Aurel Jurjiu Deuticilam Gomes Maia Júnior Mircea Galiceanu
author_facet	Aurel Jurjiu Deuticilam Gomes Maia Júnior Mircea Galiceanu
author_sort	Aurel Jurjiu
title	Relaxation dynamics of generalized scale-free polymer networks
title_short	Relaxation dynamics of generalized scale-free polymer networks
title_full	Relaxation dynamics of generalized scale-free polymer networks
title_fullStr	Relaxation dynamics of generalized scale-free polymer networks
title_full_unstemmed	Relaxation dynamics of generalized scale-free polymer networks
title_sort	relaxation dynamics of generalized scale-free polymer networks
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/78931083e5e14cc885ad61eb1a0e1e4e
work_keys_str_mv	AT aureljurjiu relaxationdynamicsofgeneralizedscalefreepolymernetworks AT deuticilamgomesmaiajunior relaxationdynamicsofgeneralizedscalefreepolymernetworks AT mirceagaliceanu relaxationdynamicsofgeneralizedscalefreepolymernetworks
_version_	1718388129045413888

Relaxation dynamics of generalized scale-free polymer networks

Ejemplares similares