Non-homogeneous persistent random walks and Lévy–Lorentz gas. (29th August 2018)

• Record Type: Journal Article
• Authors: Artuso, Roberto; Cristadoro, Giampaolo; Onofri, Manuele; Radice, Mattia
• Is Part Of: Journal of statistical mechanics. (2018:Aug.)
• Publication Date: 2018-08-29
• Subjects: 4 -- 9; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aad822
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We consider transport properties for a non-homogeneous persistent random walk, that may be viewed as a mean-field version of the Lévy–Lorentz gas, namely a 1D model characterized by a fat polynomial tail of the distribution of scatterers' distance, with parameter α . By varying the value of α we have a transition from normal transport to superdiffusion, which we characterize by appropriate continuum limits.