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Diffusion of oriented particles in porous media
Authors:René Haber  Janett Prehl  Heiko Herrmann  Karl Heinz Hoffmann
Institution:1. Institut für Physik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany;2. Centre for Nonlinear Studies, Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, 12618 Tallinn, Estonia
Abstract:Diffusion of particles in porous media often shows subdiffusive behavior. Here, we analyze the dynamics of particles exhibiting an orientation. The features we focus on are geometrical restrictions and the dynamical consequences of the interactions between the local surrounding structure and the particle orientation. This interaction can lead to particles getting temporarily stuck in parts of the structure. Modeling this interaction by a particular random walk dynamics on fractal structures we find that the random walk dimension is not affected while the diffusion constant shows a variety of interesting and surprising features.
Keywords:Anomalous diffusion  Random walks  Oriented random walks  Porous media  Sierpinski carpets
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