Abstract
We study how the mean-square displacement R 2 of a random walker is changed on fractal structures, in particular, if there is additional disorder in the system which can be caused either by non-uniform distributions of jump rates or by an external bias field. While the effect of a singular distribution of jump rates is to enhance the fractal dimension of the walk, an external bias field leads to a logarithmic time dependence R 2 ~ ln t, which seems to hold for many fractal structures, including percolation and chain-like fractal structures in any dimension.
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© 1988 Kluwer Academic Publishers
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Bunde, A. (1988). Anomalous Transport in Disordered Structures: Effect of Additional Disorder. In: Stanley, H.E., Ostrowsky, N. (eds) Random Fluctuations and Pattern Growth: Experiments and Models. NATO ASI Series, vol 157. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2653-0_5
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DOI: https://doi.org/10.1007/978-94-009-2653-0_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-0073-1
Online ISBN: 978-94-009-2653-0
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