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An elementary approach to subdiffusion

Elena Floriani

Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France

E-mail Address: floriani@cpt.univ-mrs.fr

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Ricardo Lima

Dream and Science Factory, Marseille, France

E-mail Address: dream.and.science@gmail.com

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Edgardo Ugalde

Instituto de Física, Universidad Autónoma de San Luis Potosí, México

E-mail Address: ugalde@ifisica.uaslp.mx

Corresponding author.

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https://doi.org/10.1142/S0219493721500453Cited by:0 (Source: Crossref)

Abstract

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.

Keywords:

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