Work

Probability distribution functions of sub- and superdiffusive systems

Year: 2022

Type: article

Abstract: We study the anomalous transport in systems of random walks on comblike 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).

Source: Physical Review Research

DOI: 10.1103/physrevresearch.4.023192

Authors: Fabio Cecconi, Giulio Costantini, Alessandro Taloni, Angelo Vulpiani

Institution: Institute for Complex Systems

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funder: Ministero dell’Istruzione, dell’Università e della Ricerca