Dynamical sporadicity and anomalous diffusion in the Lévy motion

Abstract

We discuss continuous-time sporadic dynamics that are intermediate between regular and random behaviors. A characterization of such processes is provided by a scale-dependent entropic quantity, and is applied to a model of Lévy motion introduced by Klafter, Blumen, and Shlesinger [Phys. Rev. A 35, 3081 (1987)]. The study suggests that sporadicity may be a feature of some physical systems exhibiting anomalous diffusion.