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

Nikola Mašić and Zorica V. Djordjević

Physica A: Statistical Mechanics and its Applications, 1990, vol. 167, issue 2, 560-564

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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:167:y:1990:i:2:p:560-564

DOI: 10.1016/0378-4371(90)90133-D

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