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
Artuso, R., Cristadoro, G., Onofri, M., Radice, M. (2018). Non-homogeneous persistent random walks and Lévy–Lorentz gas. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, 2018(8), 1-12 [10.1088/1742-5468/aad822].
Non-homogeneous persistent random walks and Lévy–Lorentz gas
Cristadoro, G;
2018
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
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