Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 18: Brownian motion and transport II
DY 18.3: Talk
Tuesday, March 27, 2007, 17:15–17:30, H3
Anomalous Diffusion on Fractals — •Janett Prehl, Do Hoang Ngoc Anh, Peter Blaudeck, and Karl Heinz Hoffmann — Institut für Physik, Technische Universität Chemnitz, D-09107 Chemnitz
Diffusion in porous materials shows anomalous behavior over certain length scales. As an appropriate model we apply Sierpinski carpets with finite iteration depth [1]. Modeling anomalous diffusion usually random walks on regular fractals are used. We study disordered fractals in an attempt to capture the random nature of disordered material by randomly mixing different Sierpinski carpet generators [2]. Besides we consider biased diffusion of charge particles with external field applied on fractal pattern. In order to analyze the diffusive process on such structures we utilize different methods to determine important quantities as e.g. the random walk dimension dw. We find that this exponent dw shows a strong dependence on the mixture composition and on the structural features of the carpets analyzed.
[1] S. Tarafdar, et al., Physica A, 292, 1 (2001)
[2] D. Anh, et al., Europhys. Lett., 70, 109 (2005)