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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 23: Polymer Dynamics

CPP 23.7: Vortrag

Mittwoch, 13. März 2013, 11:30–11:45, H39

Dynamics of Regular Hyperbranched Polymers — •Florian Fürstenberg, Maxim Dolgushev, and Alexander Blumen — Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder-Str.3, D-79104 Freiburg, Deutschland

Theoretical investigations of hyperbranched polymers are enjoying growing attention. Up to now, analytic work focused on regular fully-flexible hyperbranched polymers such as dendritic structures. Here we investigate the dynamics of semiflexible dendrimers of arbitrary functionality f and generation g. We focus on the solution of the corresponding Langevin equations which can be formulated in an analytic form^[1]. Moreover, we show that the corresponding diagonalization problem can be drastically simplified by using a complete set of eigenmodes, which is similar to the set for fully-flexible dendrimers known from the literature^[4,5]. Another advantage of our diagonalization scheme is that it provides automatically the eigenvalues’ degeneracies^[4]. The presented scheme for dendrimers paves the way for theoretical investigations of more complex polymeric architectures^[5].

[1] M Dolgushev and A. Blumen, J. Chem. Phys. 131, 044905 (2009).
[2] C. Cai and Z.Y. Chen, Macromolecules 30, 5104 (1997).
[3] A. A. Gurtovenko, D.A. Markelov, Y.Y. Gotlib, and A. Blumen, J. Chem. Phys. 119, 7579 (2003).
[4] F. Fürstenberg, M. Dolgushev, and A. Blumen, J. Chem. Phys. 136, 154904 (2012).
[5] F. Fürstenberg, M. Dolgushev, and A. Blumen, submitted.