Negative superdiffusion due to the inhomogeneous convection
arXiv:cond-mat/0405089 · doi:10.1103/PhysRevE.71.061101
Abstract
Fractional transport of particles on a comb structure in the presence of an inhomogeneous convection flow is studied. The large scale asymptotics is considered. It is shown that a contaminant spreads superdiffusively in the direction opposite to the convection flow. Conditions for the realization of this new effect is discussed in detail.
References in corpus (5)
- Physical Pictures of Transport in Heterogeneous Media: Advection-Dispersion, Random Walk and Fractional Derivative Formulations
- Lévy flights in a steep potential well
- Levy Flights in Inhomogeneous Media
- Particle Dispersion on Rapidly Folding Random Hetero-Polymers
- On log--normal distribution on a comb structure
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- Probability distribution functions of sub- and super-diffusive systems
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