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Random Walks on Fractals

  • Armin Bunde
  • Julia Dräger
  • Markus Porto

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.

Keywords

Fractal Dimension Random Walker Fractal Structure Bias Field Percolation Cluster 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Armin Bunde
    • 1
  • Julia Dräger
    • 1
    • 2
  • Markus Porto
    • 1
  1. 1.Institut für Theoretische PhysikJustus-Liebig-Universität GiessenGiessenGermany
  2. 2.I. Institut für Theoretische PhysikUniversität HamburgHamburgGermany

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