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Multifractal nature of the first passage time for biased diffusion on percolation clusters

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  • Mašić, Nikola
  • Djordjević, Zorica V.

Abstract

We study diffusion on percolation clusters in the presence of a constant bias field E, acting in the three-dimensional Euclidean space. Specifically, we are interested in scaling behavior of the distribution function of the first passage times. Moments of that distribution function with respect to time variable exhibit a typical multifractal (MF) behavior for an arbitrary bias field E, including the value E=0.

Suggested Citation

  • Mašić, Nikola & Djordjević, Zorica V., 1990. "Multifractal nature of the first passage time for biased diffusion on percolation clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(2), pages 560-564.
    • Handle: RePEc:eee:phsmap:v:167:y:1990:i:2:p:560-564
    DOI: 10.1016/0378-4371(90)90133-D
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    References listed on IDEAS

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    1. Meakin, Paul, 1988. "Multiparticle diffusion-limited aggregation with strip geometry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 153(1), pages 1-19.
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