title: Anomalous transport fluctuations in a model of irregular media.
abstract: We consider a diffusion model with stochastic porosity for which the average solution exhibits an abnormal transport. In this paper we investigate the relation of such an anomalous diffusive property of the mean value with the behavior of the solution corresponding to each realization of the stochastic porosity. Such a solution will correspond to the actual measurements in an experiment made on a particular tube. The most relevant result of our work is that, although the concentration corresponding to each realization diffuses normally for large times, it experiments on large deviations from the mean value during intermediate times.
authors.affiliation: Centre de Physique Théorique, CNRS-Luminy, Case 907 F-13288 Marseille, Cedex 9, France.
authors.forename: O
authors.initials: O
authors.lastname: Ourrad
authors.forename: G
authors.initials: G
authors.lastname: Erochenkova
authors.forename: R
authors.initials: R
authors.lastname: Lima
authors.forename: M
authors.initials: M
authors.lastname: Vittot