An elementary approach to subdiffusion - Équipe Systèmes dynamiques : théories et applications
Article Dans Une Revue Stochastics and Dynamics Année : 2021

An elementary approach to subdiffusion

Résumé

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.
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Dates et versions

hal-03214619 , version 1 (24-02-2022)

Identifiants

Citer

Elena Floriani, Ricardo Lima, Edgardo Ugalde. An elementary approach to subdiffusion. Stochastics and Dynamics, 2021, 21 (7), pp.2150045. ⟨10.1142/S0219493721500453⟩. ⟨hal-03214619⟩
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