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 μ. By varying the value of μ we have a transition from normal transport to superdiffusion, which we characterize by appropriate continuum limits.
Non-homogeneous persistent random walks and Lévy-Lorentz gas
Artuso, Roberto;ONOFRI, MANUELE;RADICE, MATTIA
2018-01-01
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 μ. By varying the value of μ we have a transition from normal transport to superdiffusion, which we characterize by appropriate continuum limits.
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