An elementary approach to subdiffusion
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We consider a basic one-dimensional model which allows to obtain a diversity of diffusive regimes whose speed depends on the moments of a per-site trapping time. This models a discrete subordinated random walk, closely related to the continuous time random walks widely studied in the literature. The model we consider lends itself to a detailed elementary treatment, based on the study of recurrence relation for the time-t dispersion of the process, making it possible to study deviations from normality due to finite time effects. © 2021 World Scientific Publishing Company.
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finite-time effects; recurrence relations; subdiffusion; Subordinated random walks
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