Dresden 2017 – wissenschaftliches Programm
CPP 22.1: Vortrag
Dienstag, 21. März 2017, 09:30–09:45, ZEU 250
Local orientational mobility in regular fractal networks — •Maxim Dolgushev1,2, Denis A. Markelov3,4, Florian Fürstenberg1, and Thomas Guérin5 — 1Institute of Physics, Uni Freiburg, Germany — 2Institut Charles Sadron, Strasbourg, France — 3St. Petersburg State University, Russia — 4ITMO University, St. Petersburg, Russia — 5LOMA, CNRS UMR 5798, Talence, France
This contribution presents the study of the local orientational dynamics of single bonds in fractal networks with the focus on the location of the bonds . In contrast to studies on overall or structurally averaged dynamics, which typically need only the eigenvalues of the dynamical matrix, the investigation of the local dynamics requires the calculation of the coefficients from the eigenvectors of this matrix. To overcome this difficulty we provide iterative methods for calculation of such coefficients. The suggested procedure allowed us to treat very large structures (which would not be accessible by naive brute force diagonalization procedures) and to investigate the corresponding scalings for the dielectric relaxation. We show that the local dynamics can be vastly different from the structure averaged one. Indeed, the dynamics of the core segments (which are most remote from the periphery) has a scaling behavior, which differs from the dynamics obtained after structural average. Moreover, we analyze the most relevant processes of single segment motion and provide a well performing analytic approximation for the corresponding relaxation times.
 M. Dolgushev, D. A. Markelov, F. Fürstenberg, T. Guérin, Phys. Rev. E. 94, 012502 (2016).