On log--normal distribution on a comb structure
E. Baskin, A. Iomin
Abstract
We study specific properties of particles transport by exploring an exact solvable model, a so-called comb structure, where diffusive transport of particles leads to subdiffusion. A performance of Lévy -- like process enriches this transport phenomenon. It is shown that an inhomogeneous convection flow, as a realization of the Lévy--like process, leads to superdiffusion of particles on the comb structure. A frontier case of superdiffusion that corresponds to the exponentially fast transport is studied and the log--normal distribution is obtained for this case.
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