2004/05/05 by E. Baskin, Baskin, E., Alexander Iomin +2
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #Stochastic processes and statistical mechanics #cond-mat.dis-nn
paper · pdf · doi:10.48550/arxiv.cond-mat/0405086
arxiv created 2004/05/05 · arxiv updated 2009/12/01
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.