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arXiv · 2206.06786

Probability distribution functions of sub- and super-diffusive systems

Fabio Cecconi·Giulio Costantini·Alessandro Taloni·Angelo Vulpiani
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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).

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Fabio Cecconi, Giulio Costantini, Alessandro Taloni, Angelo Vulpiani. 2022-06-14. Probability distribution functions of sub- and super-diffusive systems. https://doi.org/10.1103/physrevresearch.4.023192

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