Probability distribution functions of sub- and super-diffusive systems

Abstract

We study the anomalous transport in systems of random walks (RW's) on comb-like lattices with fractal sidebranches, showing subdiffusion, and in a system of Brownian particles driven by a random shear along the x-direction, showing a superdiffusive behavior. In particular, we discuss whether scaling and universality are present or not in the shapes of the particle distribution along the preferential transport direction (x-axis).

latex: 13 pages, 9 pdf figures, regular article

References in corpus (4)

• The large deviation approach to statistical mechanics
• Fractional diffusion on a fractal grid comb
• Lévy processes on a generalized fractal comb
• Large Deviation in Continuous Time Random Walks

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