Lévy walks and propagators in intermittent chaotic systems

We study the propagator P(r,t) for enhanced diffusion in intermittent chaotic systems represented by a class of iterated maps. The analysis is based on the velocity model, which is characterized by motion at a constant velocity with interruptions where sojourn times are chosen randomly but according to power-law distributions. The velocity model reproduces excellently the map-generated motion. The relationship to Lévy walks and scaling properties is discussed.