SKM 2023 – scientific programme
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CPP: Fachverband Chemische Physik und Polymerphysik
CPP 35: Poster Session II
CPP 35.47: Poster
Wednesday, March 29, 2023, 11:00–13:00, P1
Scaling Properties of Tree-like Self-Similar Polymers — •Ron Dockhorn1 and Jens-Uwe Sommer1,2 — 1Leibniz-Institut für Polymerforschung Dresden e.V., D-01069 Dresden, Germany — 2Technische Universität Dresden, Institut für Theoretische Physik, D-01069 Dresden, Germany
In this study, regular polymeric Vicsek- and T-fractals are compared to dendrimers in means of theory and simulations. Albeit all structures exhibit exponential growth both for the number of monomers inside the structures and also for the terminal groups their structural properties differ significantly. Computer simulations are performed to investigate the scaling properties of the tree-like self-similar polymers utilizing the Bond-Fluctuation-Model with the Metropolis method as well as with the Wang-Landau algorithm. The radius of gyration, the heat capacity and the θ-point of those systems is investigated to examine the coil-globule transition of the polymeric fractals. A mean field theory for the scaling exponent in different solvent regimes is applied and found in fair agreement to the simulation data. A cross-over from almost linear chain behavior to spherical shape is observed, which can be tuned by the intrinsic functionality of the building blocks. The polymeric fractals can be an alternative to dendrimers in the class of hyperbranched polymers.