title: Local orientational mobility in regular hyperbranched polymers.
abstract: We study the dynamics of local bond orientation in regular hyperbranched polymers modeled by Vicsek fractals. The local dynamics is investigated through the temporal autocorrelation functions of single bonds and the corresponding relaxation forms of the complex dielectric susceptibility. We show that the dynamic behavior of single segments depends on their remoteness from the periphery rather than on the size of the whole macromolecule. Remarkably, the dynamics of the core segments (which are most remote from the periphery) shows a scaling behavior that differs from the dynamics obtained after structural average. We analyze the most relevant processes of single segment motion and provide an analytic approximation for the corresponding relaxation times. Furthermore, we describe an iterative method to calculate the orientational dynamics in the case of very large macromolecular sizes.
authors: Institute of Physics, University of Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg, Germany.|Institut Charles Sadron, Université de Strasbourg and CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France.
authors: Maxim
authors: M
authors: Dolgushev
authors: St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia.|St. Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverkskiy pr. 49, St. Petersburg, 197101, Russia.
authors: Denis A
authors: DA
authors: Markelov
authors: Institute of Physics, University of Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg, Germany.
authors: Florian
authors: F
authors: Fürstenberg
authors: Laboratoire Ondes et Matière d'Aquitaine (LOMA), CNRS UMR 5798, Talence, France.
authors: Thomas
authors: T
authors: Guérin