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Random Walks on Fractals

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Abstract

In this paper we give a brief introduction into the fractal concept and discuss the way the laws of diffusion (mean square displacement as a function of time and spatial decay of the probability density) are modified on random fractal structures. We describe algorithms to generate random fractals and to simulate the diffusion process on these structures. We show how the theoretical predictions can be tested by computer simulations.

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© 1996 Springer-Verlag Berlin Heidelberg

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Bunde, A., Dräger, J., Porto, M. (1996). Random Walks on Fractals. In: Hoffmann, K.H., Schreiber, M. (eds) Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85238-1_8

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  • DOI: https://doi.org/10.1007/978-3-642-85238-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85240-4

  • Online ISBN: 978-3-642-85238-1

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