G. Zumofen et al., LEVY WALKS AND PROPAGATORS IN INTERMITTENT CHAOTIC SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(3), 1993, pp. 2183-2186
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 r
andomly but according to power-law distributions. The velocity model r
eproduces excellently the map-generated motion. The relationship to Le
vy walks and scaling properties is discussed.