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arXiv · 1805.09889

Non-homogeneous persistent random walks and averaged environment for the L\'evy-Lorentz gas

Roberto Artuso·Giampaolo Cristadoro·Manuele Onofri·Mattia Radice
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Abstract

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

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Roberto Artuso, Giampaolo Cristadoro, Manuele Onofri, Mattia Radice. 2018-05-24. Non-homogeneous persistent random walks and averaged environment for the L\'evy-Lorentz gas. https://doi.org/10.1088/1742-5468/aad822

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