English

Probability distribution functions of sub- and super-diffusive systems

Statistical Mechanics 2022-06-15 v1

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).

Keywords

Cite

@article{arxiv.2206.06786,
  title  = {Probability distribution functions of sub- and super-diffusive systems},
  author = {Fabio Cecconi and Giulio Costantini and Alessandro Taloni and Angelo Vulpiani},
  journal= {arXiv preprint arXiv:2206.06786},
  year   = {2022}
}

Comments

latex: 13 pages, 9 pdf figures, regular article

R2 v1 2026-06-24T11:50:39.128Z