Relaxation dynamics of Sierpinski hexagon fractal polymer: Exact analytical results in the Rouse-type approach and numerical results in the Zimm-type approach

Aurel Jurjiu; Mircea Galiceanu; Alexandru Farcasanu; Liviu Chiriac; Flaviu Turcu

doi:10.1063/1.4968209

Relaxation dynamics of Sierpinski hexagon fractal polymer: Exact analytical results in the Rouse-type approach and numerical results in the Zimm-type approach

J Chem Phys. 2016 Dec 7;145(21):214901. doi: 10.1063/1.4968209.

Authors

Aurel Jurjiu¹, Mircea Galiceanu², Alexandru Farcasanu¹, Liviu Chiriac¹, Flaviu Turcu¹

Affiliations

¹ Faculty of Physics, Babes-Bolyai University, Street Mihail Kogalniceanu 1, 400084 Cluj-Napoca, Romania.
² Departamento de Fisica, Universidade Federal do Amazonas, 69077-000 Manaus, Brazil.

PMID: 28799361
DOI: 10.1063/1.4968209

Abstract

In this paper, we focus on the relaxation dynamics of Sierpinski hexagon fractal polymer. The relaxation dynamics of this fractal polymer is investigated in the framework of the generalized Gaussian structure model using both Rouse and Zimm approaches. In the Rouse-type approach, by performing real-space renormalization transformations, we determine analytically the complete eigenvalue spectrum of the connectivity matrix. Based on the eigenvalues obtained through iterative algebraic relations we calculate the averaged monomer displacement and the mechanical relaxation moduli (storage modulus and loss modulus). The evaluation of the dynamical properties in the Rouse-type approach reveals that they obey scaling in the intermediate time/frequency domain. In the Zimm-type approach, which includes the hydrodynamic interactions, the relaxation quantities do not show scaling. The theoretical findings with respect to scaling in the intermediate domain of the relaxation quantities are well supported by experimental results.