Berlin 2015 – wissenschaftliches Programm

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 5: Anomalous Diffusion (joint session DY, CPP)

CPP 5.7: Vortrag

Montag, 16. März 2015, 11:15–11:30, BH-N 334

Dynamical consequences of oriented particles interacting with their fractal surrounding — •Janett Prehl1, René Haber1, Heiko Herrmann1,2, and Karl Heinz Hoffmann11Institut für Physik, Technische Universiät Chemnitz, Chemnitz, Deutschland — 2Centre for Nonlinear Studies, Tallinn University of Technology, Tallinn, Estland

In order to model diffusive particles in porous media, often random walks of point particles on fractals are utilized as model system. It exhibits subdiffusive behavior, where the anomalous diffusion exponent is smaller than one, and the corresponding random walk dimension is larger than two. This is due to the limited space available in fractal structures. Within this presentation we endow the particles with an orientation [1,2] and analyze their dynamics on fractal structures. In particular, we focus on the dynamical consequences of the interactions between the local surrounding fractal structure and the particle orientation, which are modeled using an appropriate move class. These interactions can lead to particles becoming temporarily or permanently stuck in parts of the structure. A surprising finding is that the random walk dimension is not affected by the orientation while the diffusion constant shows a variety of interesting and surprising features.
[1] R. Haber, J. Prehl, K. H. Hoffmann, and Heiko Herrmann, J. Phys. A: Math. Theor. 47 (2014) 155001
[2] R. Haber, J. Prehl, H. Herrmann, and K. H. Hoffmann, Phys. Lett. A 377 (2013) 2840–2845

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