{ "id": "2206.06786", "version": "v1", "published": "2022-06-14T12:20:10.000Z", "updated": "2022-06-14T12:20:10.000Z", "title": "Probability distribution functions of sub- and super-diffusive systems", "authors": [ "Fabio Cecconi", "Giulio Costantini", "Alessandro Taloni", "Angelo Vulpiani" ], "comment": "latex: 13 pages, 9 pdf figures, regular article", "journal": "Phys. Rev. Research 4, 023192 (2022)", "doi": "10.1103/PhysRevResearch.4.023192", "categories": [ "cond-mat.stat-mech" ], "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).", "revisions": [ { "version": "v1", "updated": "2022-06-14T12:20:10.000Z" } ], "analyses": { "keywords": [ "probability distribution functions", "super-diffusive systems", "brownian particles driven", "preferential transport direction", "random walks" ], "tags": [ "journal article" ], "publication": { "publisher": "APS" }, "note": { "typesetting": "LaTeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }