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. (C) 2013 Elsevier B.V. All rights reserved.
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Stanford Univ, Dept Energy Resources Engn, 367 Panama St, Stanford, CA 94305 USAStanford Univ, Dept Energy Resources Engn, 367 Panama St, Stanford, CA 94305 USA
Tartakovsky, Daniel M.
Dentz, Marco
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CSIC, Spanish Natl Res Council, Inst Environm Assessment & Water Res, ES-08034 Barcelona, SpainStanford Univ, Dept Energy Resources Engn, 367 Panama St, Stanford, CA 94305 USA
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Linnaeus Univ, Math Inst, Int Ctr Math Modelling Phys & Cognit Sci, S-35195 Vaxjo, SwedenLinnaeus Univ, Math Inst, Int Ctr Math Modelling Phys & Cognit Sci, S-35195 Vaxjo, Sweden
Khrennikov, Andrei
Oleschko, Klaudia
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UNAM, Ctr Geociencias, Campus UNAM Juriquilla,Blvd 3001, Juriquilla 76230, Qro, MexicoLinnaeus Univ, Math Inst, Int Ctr Math Modelling Phys & Cognit Sci, S-35195 Vaxjo, Sweden
Oleschko, Klaudia
Correa Lopez, Maria de Jess
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Caracterizac Yacimientos Act Prod Maloob Zaap, Ed Kaxan,Ave Contadores, Cd Del Carmen, Cad, MexicoLinnaeus Univ, Math Inst, Int Ctr Math Modelling Phys & Cognit Sci, S-35195 Vaxjo, Sweden