An elementary approach to subdiffusion

Elena Floriani (1, 2) , Ricardo Lima (3) , Edgardo Ugalde (4)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E7 Systèmes dynamiques : théories et applications
3 Dream and Science Factory
4 UASLP - Universidad Autonoma de San Luis Potosi [México]

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.

Domaines: Physique mathématique [math-ph]; Systèmes dynamiques [math.DS]

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