Abstract
Asymptotic behaviour of the moments of the first passage time (FPT) on a one-dimensional lattice holding a multifurcating hierarchy of teeth is studied. There is a transition from ordinary to anomalous diffusion when the parameter controlling the relative sizes of the teeth, is varied with respect to the furcating number of the hierarchy. The scaling behaviour of the moments of FPT with the linear dimensions of the lattice segment indicates that in the anomalcus phase the probability density of the FPT is multifractal.
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Sridhar, V., Murthy, K.P.N. & Valsakumar, M.C. First passage time on a multifurcating hierarchical structure. Pramana - J Phys 38, 219–231 (1992). https://doi.org/10.1007/BF02875369
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DOI: https://doi.org/10.1007/BF02875369