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Polymers 2016, 8(7), 263;

Relaxation Dynamics of Semiflexible Fractal Macromolecules

Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
Institut Charles Sadron, Université de Strasbourg & CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France
Author to whom correspondence should be addressed.
Academic Editor: Martin Kröger
Received: 27 May 2016 / Revised: 28 June 2016 / Accepted: 1 July 2016 / Published: 15 July 2016
(This article belongs to the Special Issue Semiflexible Polymers)
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We study the dynamics of semiflexible hyperbranched macromolecules having only dendritic units and no linear spacers, while the structure of these macromolecules is modeled through T-fractals. We construct a full set of eigenmodes of the dynamical matrix, which couples the set of Langevin equations. Based on the ensuing relaxation spectra, we analyze the mechanical relaxation moduli. The fractal character of the macromolecules reveals itself in the storage and loss moduli in the intermediate region of frequencies through scaling, whereas at higher frequencies, we observe the locally-dendritic structure that is more pronounced for higher stiffness. View Full-Text
Keywords: hyperbranched polymers; semiflexibility; fractals; pseudo-dendrimers; mechanical relaxation; eigenmodes hyperbranched polymers; semiflexibility; fractals; pseudo-dendrimers; mechanical relaxation; eigenmodes

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Mielke, J.; Dolgushev, M. Relaxation Dynamics of Semiflexible Fractal Macromolecules. Polymers 2016, 8, 263.

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