%0 Book Section %1 statphys23_0201 %A Prehl, J. %A Anh, D.H.N. %A Blaudeck, P. %A Hoffmann, K.H. %A Tarafdar, S. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K anomalous carpet diffusion disordered fractals media random sierpinski statphys23 topic-3 walks %T Anomalous diffusion on fractals %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=201 %X Diffusion in porous materials shows anomalous behavior over certain length scales. As an appropriate model we apply Sierpinski carpets with finite iteration depth 1. Up to now usually random walks on regular fractals were used as model for such anomalous diffusion in disordered systems. 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. Analyzing diffusive processes on such structures we utilize different methods to determine important quantities as e.g. the mean square displacement $r^2(t) t^\gamma$ and thus the random walk dimension $d_w= 2/\gamma$. We find that this exponent $d_w$ 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)

@incollection{statphys23_0201, abstract = {Diffusion in porous materials shows anomalous behavior over certain length scales. As an appropriate model we apply Sierpinski carpets with finite iteration depth [1]. Up to now usually random walks on regular fractals were used as model for such anomalous diffusion in disordered systems. 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. Analyzing diffusive processes on such structures we utilize different methods to determine important quantities as e.g. the mean square displacement $\langle r^2(t) \rangle \sim t^\gamma$ and thus the random walk dimension $d_{\mathrm{w}}= 2/\gamma$. We find that this exponent $d_{\mathrm{w}}$ 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)}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Prehl, J. and Anh, D.H.N. and Blaudeck, P. and Hoffmann, K.H. and Tarafdar, S.}, biburl = {https://www.bibsonomy.org/bibtex/2a7252b30d4d4adbdf072ffd78d6337d8/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {a435160d6cf39811993a71f2278ab450}, intrahash = {a7252b30d4d4adbdf072ffd78d6337d8}, keywords = {anomalous carpet diffusion disordered fractals media random sierpinski statphys23 topic-3 walks}, month = {9-13 July}, timestamp = {2007-06-20T10:16:14.000+0200}, title = {Anomalous diffusion on fractals}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=201}, year = 2007 }